{"text_format":"1","workbook":"xlsx","n_sheets":6,"sheets":["Base","Price & Income Scenarios","Equations","Utility Tables","Affordability","Figure 1"],"not_rendered":{"charts":17,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Base","index":0,"n_rows":363,"n_cols":100,"rows_kept":363,"cut":false,"hidden":false,"merged":[[0,45,0,51],[1,45,1,51],[2,45,2,51],[0,28,0,44],[0,13,0,16],[340,0,360,0],[362,2,362,22],[362,24,362,26],[332,24,332,26],[121,24,121,26],[151,24,151,26],[212,24,212,26],[211,24,211,26],[242,24,242,26],[241,24,241,26],[150,24,150,34],[302,2,302,22],[182,2,182,22],[190,0,210,0],[338,0,338,23],[310,0,330,0],[332,2,332,22],[38,0,38,23],[68,0,68,23],[98,0,98,23],[218,0,218,23],[248,0,248,23],[278,0,278,23],[308,0,308,23],[220,0,240,0],[242,2,242,22],[250,0,270,0],[272,2,272,22],[280,0,300,0],[130,0,150,0],[128,0,128,23],[8,0,8,23],[70,0,90,0],[92,2,92,22],[100,0,120,0],[122,2,122,22],[40,0,60,0],[62,2,62,22],[32,9,32,15],[16,0,26,0],[272,24,272,26],[158,0,158,23],[188,0,188,23],[152,2,152,22],[160,0,180,0],[212,2,212,22],[180,24,180,32],[210,24,210,33],[240,24,240,32],[300,24,300,33],[4,40,5,51],[330,24,330,32],[331,24,331,26],[3,45,3,51],[181,24,181,27],[182,24,182,27],[92,24,92,26],[62,24,62,26],[32,24,32,26],[61,24,61,26],[91,24,91,26],[271,24,271,26],[302,24,302,26],[301,24,301,26],[270,24,270,31]]}
[{"$f":"C2/10-10","v":0},"a, sub factor",null,null,null,null,{"$f":"I2/100","v":0.5},"r, %I devoted to x if Px = Py",null,null,null,null,null,"Show graphics",null,null,null,null,null,null,null,null,"Examining Substitution and Income Effects",null,null,null,null,null,"7 Versions: 2-7 based on Inc = $20 (click last row number to jump to table)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Create your own scenario.",null,null,null,null,null,null,"MU Check",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"rounded"]
["Sub",null,100,"slider",null,"Comp",null,null,50,"r slider",null,null,null,1,2,"Price of x",null,12,"Income",null,"$L to $H",null,"$H to $L",null,"Change these cells",null,null,null,null,null,null,"Px=$1","Px=$2",null,"1. Table without highlighting (rows 9 to 33)",null,null,null,null,null,null,null,null,null,null,"7. General Table with Both",null,null,null,null,null,null,"x","y",null,"y","U(x,y)",null,{"$f":"CB2-CB3","v":12},{"$f":"CONCATENATE(\"= MUy(\",BE5,\", \",BD4,\")\")","v":"= MUy(12, 6)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(BE3,0)","v":84}]
["Use sliders to change a, r, C & f",null,null,null,null,null,null,null,"Min r, 35% ",null,null,"Max r, 75%",null,null,null,"Budget Constraint",null,null,null,null,null,null,null,"Substitution BC",null,null,null,null,null,null,"Ends in row:",63,123,null,"2 & 4. Table with affordable bundles highlighted",null,null,null,null,null,null,null,null,null,null,"Optimal Bundles Highlighted",null,null,null,null,null,null,12,6,null,{"$f":"BD4+1","v":7},{"$f":"VLOOKUP(BE$5,$CA$8:$CV$28,$BD3+2)","v":83.999999999999957},null,{"$f":"CC3-CB3","v":6},{"$f":"CONCATENATE(\"= MUx(\",BE5,\", \",BD4,\")\")","v":"= MUx(12, 6)"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(BE4,0)","v":72},{"$f":"ROUND(BF4,0)","v":78}]
[null,null,100,null,null,null,null,null,100,null,null,null,null,null,null,"Indifference Curve",null,null,null,null,null,null,null,"Substitution effect",null,null,null,null,null,null,"Ends in row:",93,153,null,"3 & 5. Table with Optimal bundle highlighted",null,null,null,null,null,null,null,null,null,null,"Highlighted General Table",null,null,null,null,null,null,null,null,null,{"$f":"BB3","v":6},{"$f":"VLOOKUP(BE$5,$CA$8:$CV$28,$BD4+2)","v":71.999999999999957},{"$f":"VLOOKUP(BD4,$CA$8:$CV$28,BF5+2)","v":77.999999999999957}]
[{"$f":"C4","v":100},"C, Umaximum if Px=Py=$1, Inc.=$20.",null,null,null,null,null,null,{"$f":"I4/100","v":1},"f, flattening factor",null,null,null,"L","H","Price of x.",null,null,"Py=$1",null,null,null,null,"Income effect",null,null,null,null,null,null,null,null,"Px increase: a.Sub.",183,null,"b.Indep.",213,null,"c.Comp.",243,"6. Substitution bundle highlighted for six Set Scenarios",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"y/x",{"$f":"BA3","v":12},{"$f":"BE5+1","v":13},"x"]
["Note: Sub bundle cells are only highlighted for Set Scenarios. To get a Set Scenarios, click Data, What-If-Analysis, Scenario Manager",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Px decrease: d.Sub.",273,null,"e.Indep.",303,null,"f.Comp.",333]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: Tables 2-7 are based on analyzing the move between a price of x of $1 and $2 for x with Income = $20 and price of y = $1."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The highlighted cells in Tables 2-7 are static and will not work for other values for price of x and income.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"IF((CB$29-$A$1)<=0,\"\",IF(($CA8-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5*((CB$29-$A$1)^$G$1*($CA8-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5)))","v":""},"","","","","","","","","",{"$f":"IF((CL$29-$A$1)<=0,\"\",IF(($CA8-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5*((CL$29-$A$1)^$G$1*($CA8-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5)))","v":""},"","","","","","","","","",""]
["A Discrete Choice Utility Map",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The general map to the left (in rows 9-33) will work for other values for price of x and income.  ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,{"$f":"IF(A1<=0,$A$5*((-$A$1)^$G$1*(-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5),0)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Enter the low price of x in N2, the high price of x in O2, and income in R2. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B11-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B11-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B11-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B11-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,null,null,"The equations producing the tables are protected but you are able to individually format cells if you wish to create highlighted versions of your own scenario.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,19,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B12-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B12-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,"",3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,74.999999999999986,79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
["Consumption of Good y",14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,{"$f":"IF((CB$29-$A$1)<=0,\"\",IF(($CA18-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5*((CB$29-$A$1)^$G$1*($CA18-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5)))","v":""},9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,{"$f":"IF((CL$29-$A$1)<=0,\"\",IF(($CA18-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5*((CL$29-$A$1)^$G$1*($CA18-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5)))","v":100},109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,{"$f":"IF((N$32-$A$1)<=0,\"\",IF(($B24-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((N$32-$A$1)^$G$1*($B24-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":76.999999999999986},83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,74.999999999999986,79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,4,"",3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,"",19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,319.99999999999989,339.99999999999989,359.99999999999989,379.99999999999994,400]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,"","","","","","","","","","","","","","","","","","","","",""]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Next map (2)"]
[]
[]
[]
[]
[]
["Affordable bundles given Income = $20, and the prices of both x and y are $1"]
[]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B41-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B41-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B41-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B41-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B56-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B56-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B57-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B57-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B61-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B61-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","",""]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (3)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Optimal bundle given Income = $20, Py = $1 and Px = $1"]
[]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B71-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B71-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B71-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B71-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B86-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B86-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B87-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B87-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B91-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B91-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","",""]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (4)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Affordable bundles given Income = $20, Py = $1 and Px = $2"]
[]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B101-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B101-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B101-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B101-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B116-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B116-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B117-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B117-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B121-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B121-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","",""]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (5)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Optimal bundle given Income = $20, Py = $1 and Px = $2"]
[]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B131-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B131-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B131-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B131-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B146-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B146-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B147-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B147-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B151-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B151-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Go to map with both optimal bundles highlighted (7)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (6a)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Decomposing a Price Increase into Substitution and Income Effects: X and Y are Substitutes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The substitution bundle on this graph is shaded for a Set Scenario. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use 4 sliders and set to the following values or click: Data, What-If-Analysis, Scenario Manager.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Then click:","Substitutes"]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B161-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B161-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B161-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B161-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,-7.2,"a, Sub factor",null,null,null,null,0.5,"r, %I devoted to x if Px = Py"]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994,null,null,null,200,"C, U max with Px = Py",null,null,null,null,1,"f, flattening factor"]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B176-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B176-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B177-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B177-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B181-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B181-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Price decrease map for substitutes (6d)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (6b)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Decomposing a Price Increase into Substitution and Income Effects: X and Y are Independent",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The substitution bundle on this graph is shaded for a Set Scenario. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use 4 sliders and set to the following values or click: Data, What-If-Analysis, Scenario Manager.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Then click:","Independent, Px increase"]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B191-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B191-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B191-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B191-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,0,"a, Sub factor",null,null,null,null,0.5,"r, %I devoted to x if Px = Py"]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994,null,null,null,100,"C, U max with Px = Py",null,null,null,null,0.24,"f, flattening factor"]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B206-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B206-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B207-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B207-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B211-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B211-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Price decrease map for independent goods (6e)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (6c)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Decomposing a Price Increase into Substitution and Income Effects: X and Y are Complements",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The substitution bundle on this graph is shaded for a Set Scenario. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use 4 sliders and set to the following values or click: Data, What-If-Analysis, Scenario Manager.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Then click:","Complements, Px increase"]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B221-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B221-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B221-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B221-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,2.5,"a, Sub factor",null,null,null,null,0.4,"r, %I devoted to x if Px = Py"]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994,null,null,null,200,"C, U max with Px = Py",null,null,null,null,0.23,"f, flattening factor"]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B236-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B236-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B237-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B237-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B241-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B241-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Price decrease map for complements (6f)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (6d)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Decomposing a Price Decrease into Substitution and Income Effects: X and Y are Substitutes",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The substitution bundle on this graph is shaded for a Set Scenario. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use 4 sliders and set to the following values or click: Data, What-If-Analysis, Scenario Manager.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Then click:","Substitutes P Decrease"]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B251-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B251-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B251-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B251-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,null,"Note: In order to "]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B266-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B266-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B267-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B267-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B271-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B271-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Price increase map for substitutes (6a)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (6e)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Decomposing a Price Decrease into Substitution and Income Effects: X and Y are Independent",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The substitution bundle on this graph is shaded for a Set Scenario. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use 4 sliders and set to the following values or click: Data, What-If-Analysis, Scenario Manager.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Then click:","Independent, Px decrease"]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B281-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B281-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B281-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B281-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,0,"a, Sub factor",null,null,null,null,0.5,"r, %I devoted to x if Px = Py"]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994,null,null,null,120,"C, U max with Px = Py",null,null,null,null,0.26,"f, flattening factor"]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B296-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B296-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B297-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B297-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B301-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B301-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Price increase map for independent goods (6b)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (6f)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Decomposing a Price Decrease into Substitution and Income Effects: X and Y are Complements",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"NOTE: The substitution bundle on this graph is shaded for a Set Scenario. "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Use 4 sliders and set to the following values or click: Data, What-If-Analysis, Scenario Manager.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Then click:","Complements, Px decrease"]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B311-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B311-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B311-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B311-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400,null,null,null,2.9,"a, Sub factor",null,null,null,null,0.75,"r, %I devoted to x if Px = Py"]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994,null,null,null,61,"C, U max with Px = Py",null,null,null,null,0.2,"f, flattening factor"]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B326-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B326-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B327-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B327-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B331-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B331-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","","",null,"Price increase map for complements (6c)"]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,"Next map (7)"]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]
[]
[]
[]
[]
[]
["Optimal Bundles for Px= $1 (yellow) & Px= $2 (gold) highlighted (Income = $20 & Py= $1)"]
[]
["Consumption of Good y",20,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B341-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B341-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},19.999999999999993,39.999999999999986,59.999999999999986,79.999999999999972,100,119.99999999999997,140,159.99999999999994,179.99999999999994,199.99999999999994,219.99999999999994,239.99999999999994,259.99999999999989,279.99999999999994,299.99999999999994,{"$f":"IF((S$32-$A$1)<=0,\"\",IF(($B341-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((S$32-$A$1)^$G$1*($B341-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":319.99999999999989},339.99999999999989,359.99999999999989,379.99999999999994,400]
[null,19,"",18.999999999999996,38,56.999999999999972,75.999999999999986,94.999999999999986,113.99999999999994,133,152,171.00000000000003,190,208.99999999999994,227.99999999999989,246.99999999999994,265.99999999999994,284.99999999999994,303.99999999999994,323.00000000000006,341.99999999999983,361,379.99999999999994]
[null,18,"",17.999999999999989,35.999999999999979,53.999999999999972,71.999999999999957,89.999999999999972,107.99999999999994,125.99999999999996,143.99999999999991,161.99999999999991,179.99999999999989,197.99999999999989,215.99999999999989,233.99999999999986,251.99999999999986,269.99999999999989,287.99999999999983,305.99999999999989,323.99999999999977,341.99999999999983,359.99999999999989]
[null,17,"",16.999999999999993,33.999999999999993,50.999999999999979,67.999999999999972,84.999999999999972,101.99999999999996,119,135.99999999999997,152.99999999999991,169.99999999999994,187,203.99999999999991,220.99999999999986,237.99999999999989,254.99999999999997,271.99999999999989,288.99999999999994,305.99999999999989,323.00000000000006,339.99999999999989]
[null,16,"",15.999999999999993,31.999999999999989,47.999999999999972,63.999999999999972,79.999999999999972,95.999999999999957,111.99999999999997,127.99999999999996,143.99999999999991,159.99999999999994,175.99999999999994,191.99999999999989,207.99999999999991,223.99999999999989,239.99999999999994,255.99999999999989,271.99999999999989,287.99999999999983,303.99999999999994,319.99999999999989]
[null,15,"",14.999999999999996,29.999999999999993,44.999999999999972,59.999999999999986,74.999999999999986,89.999999999999972,104.99999999999999,119.99999999999997,134.99999999999997,149.99999999999997,164.99999999999994,179.99999999999989,194.99999999999994,209.99999999999989,225,239.99999999999994,254.99999999999997,269.99999999999989,284.99999999999994,299.99999999999994]
[null,14,"",13.999999999999993,27.999999999999993,41.999999999999979,55.999999999999972,69.999999999999986,83.999999999999957,97.999999999999972,111.99999999999997,125.99999999999996,139.99999999999994,153.99999999999997,167.99999999999991,181.99999999999991,195.99999999999991,209.99999999999989,223.99999999999989,237.99999999999989,251.99999999999986,265.99999999999994,279.99999999999994]
[null,13,"",12.999999999999995,25.999999999999989,38.999999999999972,51.999999999999979,64.999999999999972,77.999999999999957,90.999999999999957,103.99999999999996,116.99999999999993,129.99999999999991,142.99999999999991,155.99999999999989,168.99999999999991,181.99999999999991,194.99999999999994,207.99999999999991,220.99999999999986,233.99999999999986,246.99999999999994,259.99999999999989]
[null,12,"",11.999999999999993,24,35.999999999999972,47.999999999999972,59.999999999999986,71.999999999999957,83.999999999999957,96,107.99999999999999,119.99999999999997,131.99999999999994,143.99999999999989,155.99999999999989,167.99999999999991,179.99999999999989,191.99999999999989,203.99999999999991,215.99999999999989,227.99999999999989,239.99999999999994]
[null,11,"",10.999999999999996,21.999999999999993,32.999999999999986,43.999999999999986,54.999999999999986,65.999999999999972,76.999999999999986,87.999999999999972,98.999999999999957,109.99999999999997,120.99999999999997,131.99999999999994,142.99999999999991,153.99999999999997,164.99999999999994,175.99999999999994,187,197.99999999999989,208.99999999999994,219.99999999999994]
[null,10,"",9.9999999999999964,19.999999999999993,29.999999999999993,39.999999999999986,49.999999999999986,59.999999999999964,69.999999999999986,79.999999999999972,89.999999999999972,100,109.99999999999997,119.99999999999997,129.99999999999991,139.99999999999994,149.99999999999997,159.99999999999994,169.99999999999994,179.99999999999989,190,199.99999999999994]
[null,9,"",8.9999999999999947,18,26.999999999999996,35.999999999999979,44.999999999999986,53.999999999999972,62.999999999999986,72,80.999999999999957,89.999999999999972,98.999999999999957,107.99999999999999,116.99999999999993,125.99999999999996,134.99999999999997,143.99999999999991,152.99999999999991,161.99999999999991,171.00000000000003,179.99999999999994]
[null,8,"",7.9999999999999973,16.000000000000004,24,31.999999999999989,39.999999999999986,47.999999999999972,55.999999999999993,64.000000000000014,72,79.999999999999972,87.999999999999972,96,103.99999999999996,111.99999999999997,119.99999999999997,127.99999999999996,135.99999999999997,143.99999999999991,152,159.99999999999994]
[null,7,"",6.9999999999999982,13.999999999999998,20.999999999999989,27.999999999999993,35,41.999999999999993,48.999999999999993,55.999999999999993,62.999999999999986,69.999999999999986,76.999999999999986,83.999999999999957,90.999999999999957,97.999999999999972,104.99999999999999,111.99999999999997,119,125.99999999999996,133,140]
[null,6,"",5.9999999999999973,11.999999999999993,17.999999999999989,23.999999999999989,29.999999999999993,35.999999999999972,41.999999999999993,47.999999999999972,53.999999999999972,59.999999999999964,65.999999999999972,71.999999999999957,77.999999999999957,83.999999999999957,89.999999999999972,95.999999999999957,101.99999999999996,107.99999999999994,113.99999999999994,119.99999999999997]
[null,5,"",4.9999999999999982,9.9999999999999964,14.999999999999996,19.999999999999993,25,29.999999999999993,35,39.999999999999986,44.999999999999986,49.999999999999986,54.999999999999986,59.999999999999986,64.999999999999972,69.999999999999986,{"$f":"IF((R$32-$A$1)<=0,\"\",IF(($B356-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((R$32-$A$1)^$G$1*($B356-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":74.999999999999986},79.999999999999972,84.999999999999972,89.999999999999972,94.999999999999986,100]
[null,4,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B357-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B357-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},3.9999999999999982,7.9999999999999973,11.999999999999993,15.999999999999993,19.999999999999993,23.999999999999989,27.999999999999993,31.999999999999989,35.999999999999979,39.999999999999986,43.999999999999986,47.999999999999972,51.999999999999979,55.999999999999972,59.999999999999986,63.999999999999972,67.999999999999972,71.999999999999957,75.999999999999986,79.999999999999972]
[null,3,"",2.9999999999999982,6,8.9999999999999929,11.999999999999993,14.999999999999996,17.999999999999989,20.999999999999989,24,26.999999999999996,29.999999999999993,32.999999999999986,35.999999999999972,38.999999999999972,41.999999999999979,44.999999999999972,47.999999999999972,50.999999999999979,53.999999999999972,56.999999999999972,59.999999999999986]
[null,2,"",1.9999999999999993,4.0000000000000009,6,7.9999999999999973,9.9999999999999964,11.999999999999993,13.999999999999998,16.000000000000004,18,19.999999999999993,21.999999999999993,24,25.999999999999989,27.999999999999993,29.999999999999993,31.999999999999989,33.999999999999993,35.999999999999979,38,39.999999999999986]
[null,1,"",0.99999999999999956,1.9999999999999993,2.9999999999999982,3.9999999999999982,4.9999999999999982,5.9999999999999973,6.9999999999999982,7.9999999999999973,8.9999999999999947,9.9999999999999964,10.999999999999996,11.999999999999993,12.999999999999995,13.999999999999993,14.999999999999996,15.999999999999993,16.999999999999993,17.999999999999989,18.999999999999996,19.999999999999993]
[null,0,{"$f":"IF((C$32-$A$1)<=0,\"\",IF(($B361-$A$1*(1-$G$1)/$G$1)<=0,\"\",$A$5/($A$5-$B$10)*(($A$5*((C$32-$A$1)^$G$1*($B361-$A$1*(1-$G$1)/$G$1)^(1-$G$1)/((20*$G$1-$A$1)^$G$1*(20*(1-$G$1)-$A$1*(1-$G$1)/$G$1)^(1-$G$1)))^(2*$I$5))-$B$10)))","v":""},"","","","","","","","","","","","","","","","","","","",""]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Return to top"]

{"sheet":"Price & Income Scenarios","index":1,"n_rows":61,"n_cols":16,"rows_kept":61,"cut":false,"hidden":false,"merged":[[1,12,1,13],[1,14,1,15],[0,0,0,15],[1,0,2,0],[1,1,2,1],[1,2,2,2],[1,3,1,4],[1,5,1,6],[1,7,1,8],[1,9,1,10]]}
["Alternative Consumer Choice Income, Px­ and Px¯ Scenarios yielding Integer Bundle Solutions given U(x, y) = x∙y (Table 3) and Py = $1"]
["Income (Base cell R2)","Low Px (Base cell N2)","High Px (Base cell O2)","Low Price Bundle",null,"High Price Bundle",null,"Px­ Subsitution Bundle",null,"Px¯ Subsitution Bundle",null,null,"Cost of Substitution bundle",null,"Required Compensation"]
[null,null,null,"x","y","x","y","x","y","x","y","Scenario Notes","Px­ case","Px¯ case","Px­ case","Px¯ case"]
[4,0.1,0.4,20,2,5,2,10.000000000000002,4,10.000000000000002,1,"One bundle has x = 20",{"$f":"C4*H4+I4","v":8},{"$f":"B4*J4+K4","v":2},{"$f":"M4-A4","v":4},{"$f":"A4-N4","v":2}]
[8,0.2,0.8,20,4,5,4,10.000000000000002,8,10.000000000000002,2,"One bundle has x = 20",16,4,8,4]
[4,0.25,1,8,2,2,2,4.0000000000000009,4.0000000000000009,4.0000000000000009,1.0000000000000002,null,8.0000000000000018,2.0000000000000004,4.0000000000000018,1.9999999999999996]
[8,0.25,1,16,4,4,4,8,8,8,2,null,16,4,8,4]
[12,0.3,1.2,20,6,5,6,10,12,10,3,"One bundle has x = 20",24,6,12,6]
[16,0.4,1.6,20,8,5,8,10.000000000000002,16,10.000000000000002,4,"One bundle has x = 20",{"$f":"C9*H9+I9","v":32},{"$f":"B9*J9+K9","v":8},{"$f":"M9-A9","v":16},{"$f":"A9-N9","v":8}]
[4,0.5,2,4,2,1,2,2.0000000000000004,4.0000000000000009,2.0000000000000004,1.0000000000000002,null,{"$f":"C10*H10+I10","v":8.0000000000000018},{"$f":"B10*J10+K10","v":2.0000000000000004},{"$f":"M10-A10","v":4.0000000000000018},{"$f":"A10-N10","v":1.9999999999999996}]
[8,0.5,2,8,4,2,4,4.0000000000000009,8.0000000000000018,4.0000000000000009,2.0000000000000004,null,16.000000000000004,4.0000000000000009,8.0000000000000036,3.9999999999999991]
[12,0.5,2,12,6,3,6,6,12,6,3,"Scenario used in the paper",24,6,12,6]
[16,0.5,2,16,8,4,8,8.0000000000000018,16.000000000000004,8.0000000000000018,4.0000000000000009,null,32.000000000000007,8.0000000000000018,16.000000000000007,7.9999999999999982]
[20,0.5,2,20,10,5,10,10.000000000000002,20.000000000000004,10.000000000000002,5.0000000000000009,"Two bundles have x = 20 or y = 20",40.000000000000007,10.000000000000002,20.000000000000007,9.9999999999999982]
[12,0.75,3,8,6,2,6,3.9999999999999996,11.999999999999998,3.9999999999999996,2.9999999999999996,null,23.999999999999996,5.9999999999999991,11.999999999999996,6.0000000000000009]
[8,1,4,4,4,1,4,2,8,2,2,null,16,4,8,4]
[16,1,4,8,8,2,8,4.0000000000000009,16.000000000000004,4.0000000000000009,4.0000000000000009,null,32.000000000000007,8.0000000000000018,16.000000000000007,7.9999999999999982]
[18,0.5,4.5,18,9,2,9,6,26.999999999999996,6.0000000000000009,3.0000000000000004,"Do Px¯ only. Px­ has ysub > 20",54,6.0000000000000009,36,12]
[18,1,9,9,9,1,9,3,27,3,3,"Do Px¯ only. Px­ has ysub > 20",54,6,36,12]
[20,1.25,5,8,10,2,10,4,20.000000000000004,4,5.0000000000000009,"One bundle has y = 20",{"$f":"C20*H20+I20","v":40},{"$f":"B20*J20+K20","v":10},{"$f":"M20-A20","v":20},{"$f":"A20-N20","v":10}]
[12,1.5,6,4,6,1,6,1.9999999999999998,11.999999999999998,1.9999999999999998,2.9999999999999996,null,23.999999999999996,5.9999999999999991,11.999999999999996,6.0000000000000009]
[24,1.5,6,8,12,2,12,4,24,4,6,"Do Px¯ only. Px­ has ysub > 20",48,12,24,12]
[16,2,8,4,8,1,8,2.0000000000000004,16.000000000000004,2.0000000000000004,4.0000000000000009,null,32.000000000000007,8.0000000000000018,16.000000000000007,7.9999999999999982]
[20,2.5,10,4,10,1,10,2,20.000000000000004,2,5.0000000000000009,"One bundle has y = 20",40,10,20,10]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}}]
[]
[]
[]
[]
[{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}}]

{"sheet":"Equations","index":2,"n_rows":231,"n_cols":15,"rows_kept":231,"cut":false,"hidden":true,"merged":[]}
[{"$f":"Base!A1","v":0},"a, sub factor",null,null,"Initial BC",false,null,null,"Sub BC Pinc",false,null,"Sub BC Pdec",false,null,"Before sending, hide this tab. Do this by clicking on the tab, then select hide. To unhide, click on any tab that is visible and click unhide."]
[{"$f":"Base!I5","v":1},"b, flattening factor",null,null,"x","y",null,null,"x","y",null,"x","y"]
[{"$f":"Base!G1","v":0.5},"r, %I devoted to x if Px = Py",null,null,0,{"$f":"IF(F1,A5,100)","v":100},null,null,0,{"$f":"IF(J1,J12,100)","v":100},null,0,{"$f":"IF(M1,M12,100)","v":100}]
[{"$f":"Base!A5","v":100},"C, Maximum U level if Px = Py",null,null,{"$f":"IF(F1,A5/A6,100)","v":100},0,null,null,{"$f":"IF(J1,J12/J8,100)","v":100},0,null,{"$f":"IF(M1,M12/M8,100)","v":100},0]
[{"$f":"Base!R2","v":12},"Income","U(x,y) = C∙((x-a)r∙(y-a(1-r)/r)(1-r)/((20r-a)r(20(1-r)-a(1-r)/r)(1-r)))(2f)",null,null,null,null,null,null,null,"if a >= 0. If a < 0, U is scaled by z = U(0, 0) as V(x, y) = C/(C-z)*(U(x, y)-z) This is a monotonic transformation that sets the utility of (0,0) to 0 and U with both prices = $1 of C."]
[{"$f":"Base!N2","v":1},"Pxinitial",null,null,"Final BC",false]
[{"$f":"Base!O2","v":2},"Pxfinal",null,null,"x","y",null,null,"SubInc given","Px 1-->2",null,"SubDec given","Px 2-->1"]
[null,null,null,null,0,{"$f":"IF(F6,A5,0)","v":0},null,null,"Px",{"$f":"A7","v":2},null,"Px",{"$f":"A6","v":1}]
[null,null,null,null,{"$f":"IF(F6,A5/A7,0)","v":0},0,null,null,"x",{"$f":"$B$13*((1/J8)*($A$3/(1-$A$3)))^(1-$A$3)+$A$1","v":4.2426406871192848},null,"x",{"$f":"$F$13*((1/M8)*($A$3/(1-$A$3)))^(1-$A$3)+$A$1","v":4.2426406871192848}]
["Px=",{"$f":"A6","v":1},null,null,"Px=",{"$f":"A7","v":2},null,null,"y",{"$f":"$B$13*(J8*((1-$A$3)/$A$3))^$A$3+$A$1*(1-$A$3)/$A$3","v":8.4852813742385695},null,"y",{"$f":"F13*(M8*((1-$A$3)/$A$3))^$A$3+$A$1*(1-$A$3)/$A$3","v":4.2426406871192848}]
["x",{"$f":"(A5*$A$3+(1-$A$3)*$A$1*(B10-1))/B10","v":6},null,null,"x",{"$f":"(A5*$A$3+(1-$A$3)*$A$1*(F10-1))/F10","v":3},null,null,"Utility",{"$f":"(J9-$A$1)^$A$3*(J10-$A$1*(1-$A$3)/$A$3)^(1-$A$3)","v":6},null,"Utility",{"$f":"(M9-$A$1)^$A$3*(M10-$A$1*(1-$A$3)/$A$3)^(1-$A$3)","v":4.2426406871192848}]
["y",{"$f":"A5*(1-$A$3)+(1-$A$3)*$A$1*(1-B10)","v":6},"check",null,"y",{"$f":"A5*(1-$A$3)+(1-$A$3)*$A$1*(1-F10)","v":6},null,null,"Income",{"$f":"J8*J9+J10","v":16.970562748477139},null,"Income",{"$f":"M8*M9+M10","v":8.4852813742385695}]
["Utility",{"$f":"(B11-$A$1)^$A$3*(B12-$A$1*(1-$A$3)/$A$3)^(1-$A$3)","v":5.9999999999999991},{"$f":"B13","v":5.9999999999999991},null,"Utility",{"$f":"(F11-$A$1)^$A$3*(F12-$A$1*(1-$A$3)/$A$3)^(1-$A$3)","v":4.2426406871192848}]
[null,"U1",false,null,null,"U1",false,null,"SubPinc",false,null,"SubPdec",false]
["x no shift","x","y",null,"x no shift","x","y",null,{"$f":"IF(J14,B11,0)","v":0},{"$f":"IF(J14,B12,0)","v":0},null,{"$f":"IF(M14,F11,0)","v":0},{"$f":"IF(M14,F12,0)","v":0}]
[{"$f":"IF(A1=0,0.0001,0)","v":1E-4},{"$f":"IF(A16>$A$1,A16,100000)","v":1E-4},{"$f":"IF($C$14=TRUE,(B$13/(B16-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100},null,{"$f":"A16","v":1E-4},{"$f":"IF($G$14=TRUE,IF(E16>$A$1,E16,100000),\"\")","v":""},{"$f":"IF($G$14=TRUE,(F$13/(F16-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100},null,{"$f":"IF(J14,J9,0)","v":0},{"$f":"IF(J14,J10,0)","v":0},null,{"$f":"IF(M14,M9,0)","v":0},{"$f":"IF(M14,M10,0)","v":0}]
[0.1,0.1,{"$f":"IF($C$14=TRUE,(B$13/(B17-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100},null,0.1,"",100]
[0.2,0.2,100,null,0.2,"",100,null,"IncPinc",false,null,"IncPinc",false]
[0.3,0.3,100,null,0.3,"",100,null,{"$f":"IF(J18,J9,0)","v":0},{"$f":"IF(J18,J10,0)","v":0},null,{"$f":"IF(M18,M9,0)","v":0},{"$f":"IF(M18,M10,0)","v":0}]
[0.4,0.4,100,null,0.4,"",100,null,{"$f":"IF(J18,F11,0)","v":0},{"$f":"IF(J18,F12,0)","v":0},null,{"$f":"IF(M18,B11,0)","v":0},{"$f":"IF(M18,B12,0)","v":0}]
[0.5,0.5,100,null,0.5,"",100]
[0.6,0.6,100,null,0.6,"",100]
[0.7,0.7,100,null,0.7,"",100]
[0.8,0.8,100,null,0.8,"",100]
[0.9,0.9,100,null,0.9,"",100]
[1,1,100,null,1,"",100]
[1.1000000000000001,1.1000000000000001,100,null,1.1000000000000001,"",100]
[1.2,1.2,100,null,1.2,"",100]
[1.3,1.3,100,null,1.3,"",100]
[1.4,1.4,100,null,1.4,"",100]
[1.5,1.5,100,null,1.5,"",100]
[1.6,1.6,100,null,1.6,"",100]
[1.7,1.7,100,null,1.7,"",100]
[1.8,1.8,100,null,1.8,"",100]
[1.9,1.9,100,null,1.9,"",100]
[2,2,100,null,2,"",100]
[2.1,2.1,100,null,2.1,"",100]
[2.2000000000000002,2.2000000000000002,100,null,2.2000000000000002,"",100]
[2.2999999999999998,2.2999999999999998,100,null,2.2999999999999998,"",100]
[2.4,2.4,100,null,2.4,"",100]
[2.5,2.5,100,null,2.5,"",100]
[2.6,2.6,100,null,2.6,"",100]
[2.7,2.7,100,null,2.7,"",100]
[2.8,2.8,100,null,2.8,"",100]
[2.9,2.9,100,null,2.9,"",100]
[3,3,100,null,3,"",100]
[3.1,3.1,100,null,3.1,"",100]
[3.2,3.2,100,null,3.2,"",100]
[3.3,3.3,100,null,3.3,"",100]
[3.4,3.4,100,null,3.4,"",100]
[3.5,3.5,100,null,3.5,"",100]
[3.6,3.6,100,null,3.6,"",100]
[3.7,3.7,100,null,3.7,"",100]
[3.8,3.8,100,null,3.8,"",100]
[3.9,3.9,100,null,3.9,"",100]
[4,4,100,null,4,"",100]
[4.01,4.01,100,null,4.01,"",100]
[4.0999999999999996,4.0999999999999996,100,null,4.0999999999999996,"",100]
[4.2,4.2,100,null,4.2,"",100]
[4.3,4.3,100,null,4.3,"",100]
[4.4000000000000004,4.4000000000000004,100,null,4.4000000000000004,"",100]
[4.5,4.5,100,null,4.5,"",100]
[4.5999999999999996,4.5999999999999996,100,null,4.5999999999999996,"",100]
[4.7,4.7,100,null,4.7,"",100]
[4.8,4.8,100,null,4.8,"",100]
[4.9000000000000004,4.9000000000000004,100,null,4.9000000000000004,"",100]
[5,5,100,null,5,"",100]
[5.0999999999999996,5.0999999999999996,100,null,5.0999999999999996,"",100]
[5.2,5.2,100,null,5.2,"",100]
[5.3,5.3,100,null,5.3,"",100]
[5.4,5.4,100,null,5.4,"",100]
[5.4999999999999902,5.4999999999999902,100,null,5.4999999999999902,"",100]
[5.5999999999999899,5.5999999999999899,100,null,5.5999999999999899,"",100]
[5.7,5.7,100,null,5.7,"",100]
[5.7999999999999901,5.7999999999999901,100,null,5.7999999999999901,"",100]
[5.8999999999999897,5.8999999999999897,100,null,5.8999999999999897,"",100]
[5.9999999999999902,5.9999999999999902,100,null,5.9999999999999902,"",100]
[6.0999999999999899,6.0999999999999899,100,null,6.0999999999999899,"",100]
[6.1999999999999904,6.1999999999999904,100,null,6.1999999999999904,"",100]
[6.2999999999999901,{"$f":"IF(A80>$A$1,A80,100000)","v":6.2999999999999901},{"$f":"IF($C$14=TRUE,(B$13/(B80-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100},null,6.2999999999999901,{"$f":"IF($G$14=TRUE,IF(E80>$A$1,E80,100000),\"\")","v":""},{"$f":"IF($G$14=TRUE,(F$13/(F80-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100}]
[6.3999999999999897,6.3999999999999897,100,null,6.3999999999999897,"",100]
[6.4999999999999902,6.4999999999999902,100,null,6.4999999999999902,"",100]
[6.5999999999999899,6.5999999999999899,100,null,6.5999999999999899,"",100]
[6.6999999999999904,6.6999999999999904,100,null,6.6999999999999904,"",100]
[6.7999999999999901,6.7999999999999901,100,null,6.7999999999999901,"",100]
[6.8999999999999897,6.8999999999999897,100,null,6.8999999999999897,"",100]
[6.9999999999999902,6.9999999999999902,100,null,6.9999999999999902,"",100]
[7.0999999999999899,7.0999999999999899,100,null,7.0999999999999899,"",100]
[7.1999999999999904,7.1999999999999904,100,null,7.1999999999999904,"",100]
[7.2999999999999901,7.2999999999999901,100,null,7.2999999999999901,"",100]
[7.3999999999999897,7.3999999999999897,100,null,7.3999999999999897,"",100]
[7.4999999999999902,7.4999999999999902,100,null,7.4999999999999902,"",100]
[7.5999999999999899,7.5999999999999899,100,null,7.5999999999999899,"",100]
[7.6999999999999904,7.6999999999999904,100,null,7.6999999999999904,"",100]
[7.7999999999999901,7.7999999999999901,100,null,7.7999999999999901,"",100]
[7.8999999999999897,7.8999999999999897,100,null,7.8999999999999897,"",100]
[7.9999999999999902,7.9999999999999902,100,null,7.9999999999999902,"",100]
[8.0999999999999908,8.0999999999999908,100,null,8.0999999999999908,"",100]
[8.1999999999999904,8.1999999999999904,100,null,8.1999999999999904,"",100]
[8.2999999999999901,8.2999999999999901,100,null,8.2999999999999901,"",100]
[8.3999999999999897,8.3999999999999897,100,null,8.3999999999999897,"",100]
[8.4999999999999893,8.4999999999999893,100,null,8.4999999999999893,"",100]
[8.5999999999999908,8.5999999999999908,100,null,8.5999999999999908,"",100]
[8.6999999999999904,8.6999999999999904,100,null,8.6999999999999904,"",100]
[8.7999999999999901,8.7999999999999901,100,null,8.7999999999999901,"",100]
[8.8999999999999897,8.8999999999999897,100,null,8.8999999999999897,"",100]
[8.9999999999999893,8.9999999999999893,100,null,8.9999999999999893,"",100]
[9.0999999999999908,9.0999999999999908,100,null,9.0999999999999908,"",100]
[9.1999999999999904,9.1999999999999904,100,null,9.1999999999999904,"",100]
[9.2999999999999901,9.2999999999999901,100,null,9.2999999999999901,"",100]
[9.3999999999999897,9.3999999999999897,100,null,9.3999999999999897,"",100]
[9.4999999999999893,9.4999999999999893,100,null,9.4999999999999893,"",100]
[9.5999999999999908,9.5999999999999908,100,null,9.5999999999999908,"",100]
[9.6999999999999904,9.6999999999999904,100,null,9.6999999999999904,"",100]
[9.7999999999999901,9.7999999999999901,100,null,9.7999999999999901,"",100]
[9.8999999999999897,9.8999999999999897,100,null,9.8999999999999897,"",100]
[9.9999999999999893,9.9999999999999893,100,null,9.9999999999999893,"",100]
[10.1,10.1,100,null,10.1,"",100]
[10.199999999999999,10.199999999999999,100,null,10.199999999999999,"",100]
[10.3,10.3,100,null,10.3,"",100]
[10.4,10.4,100,null,10.4,"",100]
[10.5,10.5,100,null,10.5,"",100]
[10.6,10.6,100,null,10.6,"",100]
[10.7,10.7,100,null,10.7,"",100]
[10.8,10.8,100,null,10.8,"",100]
[10.9,10.9,100,null,10.9,"",100]
[11,11,100,null,11,"",100]
[11.1,11.1,100,null,11.1,"",100]
[11.2,11.2,100,null,11.2,"",100]
[11.3,11.3,100,null,11.3,"",100]
[11.4,11.4,100,null,11.4,"",100]
[11.5,11.5,100,null,11.5,"",100]
[11.6,11.6,100,null,11.6,"",100]
[11.7,11.7,100,null,11.7,"",100]
[11.8,11.8,100,null,11.8,"",100]
[11.9,11.9,100,null,11.9,"",100]
[12,12,100,null,12,"",100]
[12.1,12.1,100,null,12.1,"",100]
[12.2,12.2,100,null,12.2,"",100]
[12.3,12.3,100,null,12.3,"",100]
[12.4,12.4,100,null,12.4,"",100]
[12.5,12.5,100,null,12.5,"",100]
[12.6,12.6,100,null,12.6,"",100]
[12.7,{"$f":"IF(A144>$A$1,A144,100000)","v":12.7},{"$f":"IF($C$14=TRUE,(B$13/(B144-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100},null,12.7,{"$f":"IF($G$14=TRUE,IF(E144>$A$1,E144,100000),\"\")","v":""},{"$f":"IF($G$14=TRUE,(F$13/(F144-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100}]
[12.8,12.8,100,null,12.8,"",100]
[12.9,12.9,100,null,12.9,"",100]
[13,13,100,null,13,"",100]
[13.1,13.1,100,null,13.1,"",100]
[13.2,13.2,100,null,13.2,"",100]
[13.3,13.3,100,null,13.3,"",100]
[13.4,13.4,100,null,13.4,"",100]
[13.5,13.5,100,null,13.5,"",100]
[13.6,13.6,100,null,13.6,"",100]
[13.7,13.7,100,null,13.7,"",100]
[13.8,13.8,100,null,13.8,"",100]
[13.9,13.9,100,null,13.9,"",100]
[14,14,100,null,14,"",100]
[14.1,14.1,100,null,14.1,"",100]
[14.2,14.2,100,null,14.2,"",100]
[14.3,14.3,100,null,14.3,"",100]
[14.4,14.4,100,null,14.4,"",100]
[14.5,14.5,100,null,14.5,"",100]
[14.6,14.6,100,null,14.6,"",100]
[14.7,14.7,100,null,14.7,"",100]
[14.8,14.8,100,null,14.8,"",100]
[14.9,14.9,100,null,14.9,"",100]
[15,15,100,null,15,"",100]
[15.1,15.1,100,null,15.1,"",100]
[15.2,15.2,100,null,15.2,"",100]
[15.3,15.3,100,null,15.3,"",100]
[15.4,15.4,100,null,15.4,"",100]
[15.5,15.5,100,null,15.5,"",100]
[15.6,15.6,100,null,15.6,"",100]
[15.7,15.7,100,null,15.7,"",100]
[15.8,15.8,100,null,15.8,"",100]
[15.9,15.9,100,null,15.9,"",100]
[16,16,100,null,16,"",100]
[16.100000000000001,16.100000000000001,100,null,16.100000000000001,"",100]
[16.2,16.2,100,null,16.2,"",100]
[16.3,16.3,100,null,16.3,"",100]
[16.399999999999999,16.399999999999999,100,null,16.399999999999999,"",100]
[16.5,16.5,100,null,16.5,"",100]
[16.600000000000001,16.600000000000001,100,null,16.600000000000001,"",100]
[16.7,16.7,100,null,16.7,"",100]
[16.8,16.8,100,null,16.8,"",100]
[16.899999999999999,16.899999999999999,100,null,16.899999999999999,"",100]
[17,17,100,null,17,"",100]
[17.100000000000001,17.100000000000001,100,null,17.100000000000001,"",100]
[17.2,17.2,100,null,17.2,"",100]
[17.3,17.3,100,null,17.3,"",100]
[17.399999999999999,17.399999999999999,100,null,17.399999999999999,"",100]
[17.5,17.5,100,null,17.5,"",100]
[17.600000000000001,17.600000000000001,100,null,17.600000000000001,"",100]
[17.7,17.7,100,null,17.7,"",100]
[17.8,17.8,100,null,17.8,"",100]
[17.899999999999999,17.899999999999999,100,null,17.899999999999999,"",100]
[18,18,100,null,18,"",100]
[18.100000000000001,18.100000000000001,100,null,18.100000000000001,"",100]
[18.2,18.2,100,null,18.2,"",100]
[18.3,18.3,100,null,18.3,"",100]
[18.399999999999999,18.399999999999999,100,null,18.399999999999999,"",100]
[18.5,18.5,100,null,18.5,"",100]
[18.600000000000001,18.600000000000001,100,null,18.600000000000001,"",100]
[18.7,18.7,100,null,18.7,"",100]
[18.8,18.8,100,null,18.8,"",100]
[18.899999999999999,18.899999999999999,100,null,18.899999999999999,"",100]
[19,19,100,null,19,"",100]
[19.100000000000001,{"$f":"IF(A208>$A$1,A208,100000)","v":19.100000000000001},{"$f":"IF($C$14=TRUE,(B$13/(B208-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100},null,19.100000000000001,{"$f":"IF($G$14=TRUE,IF(E208>$A$1,E208,100000),\"\")","v":""},{"$f":"IF($G$14=TRUE,(F$13/(F208-$A$1)^$A$3)^(1/(1-$A$3))+$A$1*(1-$A$3)/$A$3,100)","v":100}]
[19.2,19.2,100,null,19.2,"",100]
[19.3,19.3,100,null,19.3,"",100]
[19.399999999999999,19.399999999999999,100,null,19.399999999999999,"",100]
[19.5,19.5,100,null,19.5,"",100]
[19.600000000000001,19.600000000000001,100,null,19.600000000000001,"",100]
[19.7,19.7,100,null,19.7,"",100]
[19.8,19.8,100,null,19.8,"",100]
[19.899999999999999,19.899999999999999,100,null,19.899999999999999,"",100]
[20,20,100,null,20,"",100]
[20.100000000000001,20.100000000000001,100,null,20.100000000000001,"",100]
[20.2,20.2,100,null,20.2,"",100]
[20.3,20.3,100,null,20.3,"",100]
[20.399999999999999,20.399999999999999,100,null,20.399999999999999,"",100]
[20.5,20.5,100,null,20.5,"",100]
[20.6,20.6,100,null,20.6,"",100]
[20.7,20.7,100,null,20.7,"",100]
[20.8,20.8,100,null,20.8,"",100]
[20.9,20.9,100,null,20.9,"",100]
[21,21,100,null,21,"",100]
[21.1,21.1,100,null,21.1,"",100]
[21.2,21.2,100,null,21.2,"",100]
[21.3,21.3,100,null,21.3,"",100]
[21.4,21.4,100,null,21.4,"",100]

{"sheet":"Utility Tables","index":3,"n_rows":243,"n_cols":48,"rows_kept":243,"cut":false,"hidden":false,"merged":[[190,2,190,22],[166,0,166,22],[218,0,218,22],[226,0,236,0],[242,8,242,14],[192,0,192,22],[200,0,210,0],[216,8,216,14],[168,0,188,0],[44,0,54,0],[44,26,54,26],[59,8,59,14],[1,0,1,22],[59,34,59,40],[35,0,36,22],[36,26,36,48],[9,0,19,0],[24,8,24,14],[61,0,61,22],[70,0,80,0],[85,8,85,14],[164,9,164,15],[140,0,140,22],[138,9,138,15],[148,0,158,0],[96,0,106,0],[112,9,112,15],[88,0,88,22],[114,0,114,22],[122,0,132,0]]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"This table is not shown in the JET article but is discussed in footnote 5 in the article. "]
["Table 3a - An altered Indifference Map where x and y are Independent Goods",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Note: Prices and income can only be changed in N2:R2 of the Base sheet."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Budget Constraint",null,null,null,null,"$L to $H",null,"$H to $L"]
[null,20,{"$f":"$B4*C$24","v":20},{"$f":"$B4*D$24","v":40},60,80,100,120,140,160,180,200,220,240,260,280,300,320,340,360,380,400,null,null,null,null,null,null,null,"Indifference Curve",null,null,null,null,null,null,null,"Substitution BC"]
[null,19,19,38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,342,361,380,null,null,null,null,null,"L","H","Price of x.",null,null,null,null,null,null,null,"Substitution effect"]
[null,18,18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324,342,360,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Income effect"]
[null,17,17,34,51,68,85,102,119,136,153,170,187,204,221,238,255,272,289,306,323,340]
[null,16,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320]
[null,15,15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300]
["Consumption of Good y",14,14,28,42,56,70,84,100,112,126,140,154,168,182,196,210,224,238,252,266,280]
[null,13,13,26,39,52,65,78,91,104,117,130,143,156,169,182,195,208,221,234,247,260]
[null,12,12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228,240]
[null,11,11,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,198,209,220]
[null,10,10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200]
[null,9,9,18,27,36,45,54,63,72,81,90,99,108,117,126,135,144,153,162,171,180]
[null,8,8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160]
[null,7,7,14,21,28,35,42,50,56,63,{"$f":"$B17*L$24","v":70},77,84,91,100,{"$f":"$B17*Q$24","v":105},112,119,126,133,140]
[null,6,6,{"$f":"$B18*D$24","v":12},18,24,30,36,42,48,54,60,66,72,78,{"$f":"$B18*P$24","v":84},90,96,102,108,114,120]
[null,5,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100]
[null,4,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80]
[null,3,3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60]
[null,2,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40]
[null,1,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
["Holmgren (2017) uses U = x∙y and adjusts (7, 14) from 98 to 100 in order to discuss the income and substitution effect of a price of x increase from $1 to $2 (given Income = $20 and Py = $1)."]
["Two further adjustments are made to this table."]
[null,"1. The bundle (7, 7) is adjusted from 49 to 50 in order to discuss the income and substitution effect of a price of x decrease from $2 to $1 (given Income = $20 and Py = $1)."]
[null,null,"Note that the bundle (7, 7) is also the substitution bundle for a price of y decrease from $2 to $1  (given Income = $20 and Px = $1)."]
[null,"2. The bundle (14, 7) is adjusted from 98 to 100 in order to discuss the income and substitution effect of a price of y increase from $1 to $2  (given Income = $20 and Px = $1)."]
["With these adjustments, students are able to analyze the income and substitution effects of four scenarios; the price increase and price decrease of both x and y."]
[]
[]
[]
["Table 1 - Three Indifference Curves: Six indifferent bundles with U = 40, Eight bundles with U = 60, and Six bundles with U = 80, given U = x∙y"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 2 - The same bundles have V = 63.2, V = 77.5, and V = 89.4, given V = 10∙(x∙y)0.5"]
[]
[null,20,{"$f":"$B39*C$24","v":20},40,60,80,100,120,140,160,180,200,{"$f":"$B39*M$24","v":220},240,260,280,300,320,340,360,380,400,null,null,null,null,null,20,{"$f":"10*C39^0.5","v":44.721359549995796},{"$f":"10*D39^0.5","v":63.245553203367592},{"$f":"10*E39^0.5","v":77.459666924148337},{"$f":"10*F39^0.5","v":89.442719099991592},{"$f":"10*G39^0.5","v":100},{"$f":"10*H39^0.5","v":109.54451150103323},{"$f":"10*I39^0.5","v":118.32159566199232},{"$f":"10*J39^0.5","v":126.49110640673518},{"$f":"10*K39^0.5","v":134.1640786499874},{"$f":"10*L39^0.5","v":141.42135623730951},{"$f":"10*M39^0.5","v":148.32396974191326},{"$f":"10*N39^0.5","v":154.91933384829667},{"$f":"10*O39^0.5","v":161.24515496597098},{"$f":"10*P39^0.5","v":167.33200530681512},{"$f":"10*Q39^0.5","v":173.20508075688775},{"$f":"10*R39^0.5","v":178.88543819998318},{"$f":"10*S39^0.5","v":184.39088914585773},{"$f":"10*T39^0.5","v":189.73665961010278},{"$f":"10*U39^0.5","v":194.93588689617926},{"$f":"10*V39^0.5","v":200}]
[null,19,19,38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,342,361,380,null,null,null,null,null,19,{"$f":"10*C40^0.5","v":43.588989435406738},61.644140029689758,75.498344352707505,87.177978870813476,97.467943448089628,106.77078252031311,115.32562594670796,123.28828005937952,130.76696830622021,137.84048752090223,144.56832294800961,150.99668870541501,157.16233645501711,163.0950643030009,168.81943016134133,174.35595774162695,179.72200755611428,184.9324200890693,190,194.93588689617926]
[null,18,18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324,342,360,null,null,null,null,null,18,42.426406871192846,60,73.484692283495349,84.852813742385692,94.868329805051388,103.92304845413264,112.24972160321825,120,127.27922061357856,134.1640786499874,140.71247279470288,146.9693845669907,152.97058540778355,158.74507866387543,164.31676725154983,169.70562748477138,174.928556845359,180,184.9324200890693,189.73665961010278]
[null,17,17,34,51,68,85,102,119,136,153,170,187,204,221,238,255,272,289,306,323,340,null,null,null,null,null,17,41.231056256176608,58.309518948453004,71.414284285428508,82.462112512353215,92.195444572928864,100.99504938362077,109.08712114635713,116.61903789690601,123.6931687685298,130.38404810405299,136.74794331177344,142.82856857085702,148.66068747318505,154.27248620541513,159.6871942267131,164.92422502470643,170,174.928556845359,179.72200755611428,184.39088914585773]
[null,16,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,null,null,null,null,null,16,40,56.568542494923804,69.282032302755084,80,89.442719099991592,97.979589711327122,105.83005244258362,113.13708498984761,120,126.49110640673518,132.66499161421598,138.56406460551017,144.22205101855957,149.66629547095766,154.91933384829667,160,164.92422502470643,169.70562748477138,174.35595774162695,178.88543819998318]
[null,15,15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,null,null,null,null,null,15,38.729833462074168,54.772255750516614,67.082039324993701,77.459666924148337,86.602540378443877,94.868329805051388,102.46950765959598,109.54451150103323,116.18950038622251,122.4744871391589,128.4523257866513,134.1640786499874,139.64240043768942,144.91376746189439,150,154.91933384829667,159.6871942267131,164.31676725154983,168.81943016134133,173.20508075688775]
["Consumption of Good y",14,{"$f":"$B45*C$24","v":14},28,42,56,70,84,{"$f":"$B45*I$24","v":98},{"$f":"$B45*J$24","v":112},126,140,154,168,182,196,210,224,238,252,266,280,null,null,null,null,"Consumption of Good y",14,37.416573867739416,52.915026221291811,64.807406984078597,74.833147735478832,83.66600265340756,91.651513899116793,98.994949366116657,105.83005244258362,112.24972160321825,118.32159566199232,124.09673645990857,129.61481396815719,134.90737563232042,140,144.91376746189439,149.66629547095766,154.27248620541513,158.74507866387543,163.0950643030009,167.33200530681512]
[null,13,13,26,39,52,65,78,91,104,117,130,143,156,169,182,195,208,221,234,247,260,null,null,null,null,null,13,36.055512754639892,50.990195135927848,62.44997998398398,72.111025509279784,80.622577482985491,88.317608663278477,95.393920141694565,101.9803902718557,108.16653826391969,114.0175425099138,119.58260743101398,124.89995996796796,130,134.90737563232042,139.64240043768942,144.22205101855957,148.66068747318505,152.97058540778355,157.16233645501711,161.24515496597098]
[null,12,12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228,240,null,null,null,null,null,12,34.641016151377542,48.989794855663561,60,69.282032302755084,77.459666924148337,84.852813742385692,91.651513899116793,97.979589711327122,103.92304845413264,109.54451150103323,114.89125293076057,120,124.89995996796796,129.61481396815719,134.1640786499874,138.56406460551017,142.82856857085702,146.9693845669907,150.99668870541501,154.91933384829667]
[null,11,11,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,198,209,220,null,null,null,null,null,11,33.166247903553995,46.904157598234299,57.445626465380286,66.332495807107989,74.16198487095663,81.240384046359608,87.749643873921229,93.808315196468598,99.498743710661998,104.88088481701516,110,114.89125293076057,119.58260743101398,124.09673645990857,128.4523257866513,132.66499161421598,136.74794331177344,140.71247279470288,144.56832294800961,148.32396974191326]
[null,10,10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200,null,null,null,null,null,10,31.622776601683796,44.721359549995796,54.772255750516614,63.245553203367592,70.710678118654755,77.459666924148337,83.66600265340756,89.442719099991592,94.868329805051388,100,104.88088481701516,109.54451150103323,114.0175425099138,118.32159566199232,122.4744871391589,126.49110640673518,130.38404810405299,134.1640786499874,137.84048752090223,141.42135623730951]
[null,9,9,18,27,36,45,54,63,72,81,90,99,108,117,126,135,144,153,162,171,180,null,null,null,null,null,9,30,42.426406871192846,51.96152422706632,60,67.082039324993701,73.484692283495349,79.372539331937716,84.852813742385692,90,94.868329805051388,99.498743710661998,103.92304845413264,108.16653826391969,112.24972160321825,116.18950038622251,120,123.6931687685298,127.27922061357856,130.76696830622021,134.1640786499874]
[null,8,8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,null,null,null,null,null,8,28.284271247461902,40,48.989794855663561,56.568542494923804,63.245553203367592,69.282032302755084,74.833147735478832,80,84.852813742385692,89.442719099991592,93.808315196468598,97.979589711327122,101.9803902718557,105.83005244258362,109.54451150103323,113.13708498984761,116.61903789690601,120,123.28828005937952,126.49110640673518]
[null,7,7,14,21,28,35,42,49,{"$f":"$B52*J$24","v":56},63,70,77,{"$f":"$B52*N$24","v":84},91,98,105,112,119,126,133,140,null,null,null,null,null,7,26.457513110645905,37.416573867739416,45.825756949558397,52.915026221291811,59.16079783099616,64.807406984078597,70,74.833147735478832,79.372539331937716,83.66600265340756,87.749643873921229,91.651513899116793,95.393920141694565,98.994949366116657,102.46950765959598,105.83005244258362,109.08712114635713,112.24972160321825,115.32562594670796,118.32159566199232]
[null,6,6,12,18,24,30,36,42,48,54,60,66,{"$f":"$B53*N$24","v":72},78,84,90,96,102,108,114,120,null,null,null,null,null,6,24.494897427831781,34.641016151377542,42.426406871192846,48.989794855663561,54.772255750516614,60,64.807406984078597,69.282032302755084,73.484692283495349,77.459666924148337,81.240384046359608,84.852813742385692,88.317608663278477,91.651513899116793,94.868329805051388,97.979589711327122,100.99504938362077,103.92304845413264,106.77078252031311,109.54451150103323]
[null,5,5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,null,null,null,null,null,5,22.360679774997898,31.622776601683796,38.729833462074168,44.721359549995796,50,54.772255750516614,59.16079783099616,63.245553203367592,67.082039324993701,70.710678118654755,74.16198487095663,77.459666924148337,80.622577482985491,83.66600265340756,86.602540378443877,89.442719099991592,92.195444572928864,94.868329805051388,97.467943448089628,100]
[null,4,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,null,null,null,null,null,4,20,28.284271247461902,34.641016151377542,40,44.721359549995796,48.989794855663561,52.915026221291811,56.568542494923804,60,63.245553203367592,66.332495807107989,69.282032302755084,72.111025509279784,74.833147735478832,77.459666924148337,80,82.462112512353215,84.852813742385692,87.177978870813476,89.442719099991592]
[null,3,3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,null,null,null,null,null,3,17.320508075688771,24.494897427831781,30,34.641016151377542,38.729833462074168,42.426406871192846,45.825756949558397,48.989794855663561,51.96152422706632,54.772255750516614,57.445626465380286,60,62.44997998398398,64.807406984078597,67.082039324993701,69.282032302755084,71.414284285428508,73.484692283495349,75.498344352707505,77.459666924148337]
[null,2,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,null,null,null,null,null,2,14.142135623730951,20,24.494897427831781,28.284271247461902,31.622776601683796,34.641016151377542,37.416573867739416,40,42.426406871192846,44.721359549995796,46.904157598234299,48.989794855663561,50.990195135927848,52.915026221291811,54.772255750516614,56.568542494923804,58.309518948453004,60,61.644140029689758,63.245553203367592]
[null,1,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,null,null,null,null,1,10,14.142135623730951,17.320508075688771,20,22.360679774997898,24.494897427831781,26.457513110645905,28.284271247461902,30,31.622776601683796,33.166247903553995,34.641016151377542,36.055512754639892,37.416573867739416,38.729833462074168,40,41.231056256176608,42.426406871192846,43.588989435406738,44.721359549995796]
[null,null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,null,null,null,null,null,null,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,"Consumption of Good x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
["Table 3 - A Discrete Choice Utility table where x and y are Independent Goods"]
[]
[null,20,null,{"$f":"$B64*C$24","v":20},{"$f":"$B64*D$24","v":40},60,80,100,120,140,160,180,200,220,240,260,280,300,320,340,360,380,400]
[null,19,null,{"$f":"$B65*C$24","v":19},38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,342,361,380]
[null,18,null,{"$f":"$B66*C$24","v":18},36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324,342,360]
[null,17,null,{"$f":"$B67*C$24","v":17},34,51,68,85,102,119,136,153,170,187,204,221,238,255,272,289,306,323,340]
[null,16,null,{"$f":"$B68*C$24","v":16},32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320]
[null,15,null,{"$f":"$B69*C$24","v":15},30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300]
[null,14,null,{"$f":"$B70*C$24","v":14},28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280]
["Consumption of Good y",13,null,{"$f":"$B71*C$24","v":13},26,39,52,65,78,91,104,117,130,143,156,169,182,195,208,221,234,247,260]
[null,12,null,{"$f":"$B72*C$24","v":12},24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228,240]
[null,11,null,{"$f":"$B73*C$24","v":11},22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,198,209,220]
[null,10,null,{"$f":"$B74*C$24","v":10},20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180,190,200]
[null,9,null,{"$f":"$B75*C$24","v":9},18,27,36,45,54,63,72,81,90,99,108,117,126,135,144,153,162,171,180]
[null,8,null,{"$f":"$B76*C$24","v":8},16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160]
[null,7,null,{"$f":"$B77*C$24","v":7},14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140]
[null,6,null,{"$f":"$B78*C$24","v":6},12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120]
[null,5,null,{"$f":"$B79*C$24","v":5},10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100]
[null,4,null,{"$f":"$B80*C$24","v":4},8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80]
[null,3,null,{"$f":"$B81*C$24","v":3},6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60]
[null,2,null,{"$f":"$B82*C$24","v":2},4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40]
[null,1,null,{"$f":"$B83*C$24","v":1},2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,0]
[null,null,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
[]
["Table 4 - An Indifference Map where y is a substitute for x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"To show Table 4, click Data, What-If Analysis, Scenario Manager, then choose JETTables4and5, Show, Close on the Base sheet."]
[]
[null,20,127.73578727090948,148.39400803043515,168.25244735526695,187.4283725614192,206.01172340721374,224.07341312843374,241.67061875757162,258.85030275996297,275.65164259913479,292.10775773415997,308.24696876435121,324.09373572288121,339.6693706745761,354.99258799778409,370.0799356340342,384.94613752420378,399.60436874638714,414.06647894529141,428.3431755295482,442.44417520711852,456.37833034265111]
[null,19,122.27003309835861,142.3830599308327,161.71741246974761,180.38726321335608,198.48017830752738,216.06519950714886,233.19799487783499,249.92428749208136,266.28222087562108,282.30404042735705,298.01731933379511,313.44587210003039,328.6104483412737,343.52926854215656,358.21844392522257,372.69230984981255,386.96369368873479,401.04413236110378,414.94405069486641,428.67290896301631,442.23932590623713]
[null,18,116.74216755237715,136.30380501934297,155.10811518980987,173.26614057558453,190.86304673698487,207.96598268099214,224.62909035884584,240.89683936607102,256.80632754121416,272.38891629042092,287.67142289399072,302.67700899333187,317.42585536251249,331.93568297997103,346.22216138650674,360.29923294418802,374.17937336930635,387.8738033016532,401.39266177731946,414.74514972027265,427.93964959239094]
[null,17,111.14894945616822,130.1526788207093,148.42068025821206,166.06082929013519,183.15586251060037,199.77101380188998,215.95888095855767,231.76266528007255,247.2184065552778,262.35657174666045,277.20321329169974,291.78083224971175,306.10903382856333,320.20503359514601,334.08405418678353,347.75964032210652,361.24391190347166,374.54776955217159,387.68106313370043,400.65273115687535,413.47091701138999]
[null,16,105.48682499620335,123.9257730382902,141.65085861898649,158.76675125326125,175.35372864508108,191.47508595840657,207.18185780767027,222.51596157134983,237.51236595380774,252.200632454659,266.60603924598439,280.75041866688196,294.65279326825652,308.32986697897041,321.79641002718733,335.06556458928162,348.14909037017964,361.05756403016636,373.80054270166522,386.38669924548617,398.82393503385822]
[null,15,99.751882500350803,117.61878582143089,134.79397334868682,151.37886735959054,167.45125504527357,183.07246791839003,198.29195730989517,213.15034016534491,227.68150032988513,241.91408219550786,255.87257971141659,269.57814789638195,283.0492191510566,296.3019791863278,309.35074000296839,322.20823605818123,334.88586222712536,347.39386704276194,359.74151113973426,371.93719831446617,383.98858480924429]
["Consumption of Good y",14,93.939798293951696,111.22696222083169,127.84485492013742,143.89160775268661,159.44248389645333,174.55682479936959,189.28247721189175,203.6587401543039,217.71839801990461,231.48916575688983,244.99474254286608,258.25559696552278,271.28956333704758,284.11230217971172,296.73766110320082,309.17796136124463,321.44422809184624,333.54637728694485,345.49336909516109,357.29333462930003,368.95368170442049]
[null,13,88.045771358237033,104.74502232932268,120.79776307789507,136.29878765052896,151.32079962678125,165.92112233257154,180.14597531538578,194.03332108922703,207.61482909472437,220.91727173234372,233.96354220286324,246.77341298511726,259.36411187056854,271.75076678840526,283.94675440992307,295.96397695975452,307.81308462593972,319.50365617100556,331.04434702109313,342.44301176090914,353.70680627578804]
[null,12,82.06444379022328,98.167073807852148,113.64629173749152,128.59350488013416,143.07881930488384,157.15751032380459,170.87414617974994,184.26533308449473,197.36160901164021,210.18878985317644,222.76895089515617,235.12115819699426,247.26202404581838,259.20613588911743,270.96639248439368,282.55427082064364,293.98004058229344,305.25293830751269,316.3813101865008,327.37273018001196,338.2340985121449]
[null,11,75.989803055682046,91.486504388460034,106.38325211588044,120.76801395759944,134.70825794916948,148.25717943825705,161.45766960150053,174.34495718912126,186.94843105596402,199.29293566329841,211.39971562237216,223.28711955251171,234.97113463418319,246.46579940125929,257.78352724163773,268.93536327468553,279.93119074507575,290.77989862766537,301.48951905240136,312.06734097814223,322.52000497924564]
[null,10,69.815060604933194,84.695848382329942,99.000527600498842,112.81356971819461,126.19976126625725,139.21018335300599,151.88602245312143,164.26110715660172,176.36365826363993,188.21753279694411,199.84313100458033,211.25807224336126,222.47770828619434,233.51551970799554,244.38342652883466,255.09203488183331,265.65083520391539,276.06836317926087,286.35233170228321,296.50974003350683,306.54696481887822]
[null,9,63.532499379619189,77.786618975784407,91.488891423367804,104.72023087110696,117.54269552268215,130.0052153297853,142.14724229889799,154.00118041123514,165.59406201663387,176.94873945732064,188.08475387453589,199.01898262873743,209.76613099025829,220.33911183239204,230.74934319255738,241.00698455237799,251.12112668211114,261.09994580635976,270.95083000974989,280.68048379597406,290.29501527404528]
[null,8,57.133279750443066,70.749094810846984,83.837774633889453,96.476610004003007,108.7248801364763,120.6293238823943,132.22762657338276,143.55074112887422,154.62448938048365,165.47070033444004,176.1080400727418,186.55263018165391,196.81851742428356,206.91803643087411,216.86209393507519,226.66039447331693,236.3216217279369,245.85358578929802,255.26334390097401,264.55730033660166,273.74128968190411]
[null,7,50.607188957771719,63.572044433234858,76.034966521817026,88.06955080669151,99.732242418429564,111.0675456666679,122.11134418201588,132.89311105331953,143.4374335941929,153.76509718617029,163.8938755030515,173.83911937290176,183.61420399601408,193.23087429531364,202.69951556355346,212.02936837220992,221.22870124476148,230.30495087833933,239.26483711619838,248.11445804954766,256.85936931793765]
[null,6,43.942312284213649,56.242364665307889,68.066221460408897,79.483704468129176,90.548364463793519,101.30242369513557,111.77992577621276,122.00883249474639,132.01247039270461,141.8105590328793,151.41996070264068,160.85523908067026,170.12908352278237,179.2526367036844,188.23575138610875,197.0871943097541,205.81481001034206,214.42565385107588,222.92610109963056,231.32193715341714,239.61843277365668]
[null,5,37.12459342145506,48.744597120706359,59.914733266603648,70.700963330938208,81.153877359027788,91.313363203351059,101.21158226526046,110.87495037346052,120.3255043856463,129.5818736039937,138.65998802908734,147.57360613893275,156.33471571674718,164.95384337797148,173.44029714307996,181.80235905385379,190.04743993516405,198.18220507135121,206.21267725253639,214.1443220114856,221.98211869812283]
[null,4,30.137234022725057,41.060267863828393,51.560417286261881,61.699687381179679,71.525633794116104,81.075751897168331,90.380274045199755,99.464031640880123,108.34773976731836,117.04891033788114,125.5825178689265,133.96149560253832,142.19711229259562,150.29926316630056,158.27669794742815,166.1372019194423,173.88774140463966,181.53458190243796,189.0833849549513,196.53928827133277,203.90697253922517]
[null,3,22.959853061106944,33.16696291644795,42.978905295402207,52.453621314532157,61.635549698945674,70.559728276743485,79.254407895791232,87.742792444184474,96.044239284724569,104.17511255452887,112.14940530129086,119.97920308884332,127.67503608769111,135.24615096616523,142.70072396843676,150.04603011028689,157.28857912316963,164.43422584941038,171.48826075896025,178.45548482218069,185.34027194229921]
[null,2,15.567275160564364,25.036995728097324,34.140096789051555,42.930333636648442,51.448934622019131,59.728406345573447,67.794958737338106,75.670119373626093,83.371847188871342,90.915324130562084,98.313532350690693,105.57768431919453,112.71754947851319,119.74170649258942,126.6577409315495,133.47240224431141,140.19172988168103,146.82115571630152,153.36558802023183,159.82948092871911,166.21689236236372]
[null,1,7.9277224437991309,16.635418665728018,25.005997095262224,33.088887360272523,40.922000184187354,48.535226375247333,55.952666761670407,63.194116604952633,70.276089691789679,77.21254628487803,84.015423868016768,90.695032648504409,97.260355925944864,103.71928204287903,110.078786161864,116.34507460656322,122.52370083577084,128.61965962167213,134.63746426978219,140.58121049299848,146.45462967279403]
[null,0,0,7.9169277396184885,15.527352228077783,22.876214260517536,29.997981789228547,36.919831160616127,43.663674544168558,50.247509542334988,56.686350282003367,62.992889258200698,69.17797988085556,75.250996060596378,81.220105300286647,87.092479581618107,92.874460634542032,98.571691170370372,104.18922032389801,109.73158927909135,115.20290147648382,120.60688068666001,125.94691943466206]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
["Table 5 - Overlay of Indifference Curves and Budget Constraints showing the Substitution and Income Effects of a Price of x Increase: y is a substitute for x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The graphic overlay here requires Pxlow=1, Pxhigh=2, and Income=20 in cells N2, O2, and R2 of the Base sheet."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Next, click Data, What-If Analysis, Scenario Manager, then choose JETTables4and5, Show, Close."]
[null,20,127.73578727090948,148.39400803043515,168.25244735526695,187.4283725614192,206.01172340721374,224.07341312843374,241.67061875757162,258.85030275996297,275.65164259913479,292.10775773415997,308.24696876435121,324.09373572288121,339.6693706745761,354.99258799778409,370.0799356340342,384.94613752420378,399.60436874638714,414.06647894529141,428.3431755295482,442.44417520711852,456.37833034265111,null,null,null,null,null,null,"To obtain Table 5,  click the graphic components you wish to use."]
[null,19,122.27003309835861,142.3830599308327,161.71741246974761,180.38726321335608,198.48017830752738,216.06519950714886,233.19799487783499,249.92428749208136,266.28222087562108,282.30404042735705,298.01731933379511,313.44587210003039,328.6104483412737,343.52926854215656,358.21844392522257,372.69230984981255,386.96369368873479,401.04413236110378,414.94405069486641,428.67290896301631,442.23932590623713,null,null,null,null,null,"Note: Prices and income can only be changed in N2:R2 of the Base sheet."]
[null,18,116.74216755237715,136.30380501934297,155.10811518980987,173.26614057558453,190.86304673698487,207.96598268099214,224.62909035884584,240.89683936607102,256.80632754121416,272.38891629042092,287.67142289399072,302.67700899333187,317.42585536251249,331.93568297997103,346.22216138650674,360.29923294418802,374.17937336930635,387.8738033016532,401.39266177731946,414.74514972027265,427.93964959239094,null,null,null,null,null,null,null,"Budget Constraint",null,null,null,null,"$L to $H",null,"$H to $L"]
[null,17,111.14894945616822,130.1526788207093,148.42068025821206,166.06082929013519,183.15586251060037,199.77101380188998,215.95888095855767,231.76266528007255,247.2184065552778,262.35657174666045,277.20321329169974,291.78083224971175,306.10903382856333,320.20503359514601,334.08405418678353,347.75964032210652,361.24391190347166,374.54776955217159,387.68106313370043,400.65273115687535,413.47091701138999,null,null,null,null,null,null,null,"Indifference Curve",null,null,null,null,null,null,null,"Substitution BC"]
[null,16,105.48682499620335,123.9257730382902,141.65085861898649,158.76675125326125,175.35372864508108,191.47508595840657,207.18185780767027,222.51596157134983,237.51236595380774,252.200632454659,266.60603924598439,280.75041866688196,294.65279326825652,308.32986697897041,321.79641002718733,335.06556458928162,348.14909037017964,361.05756403016636,373.80054270166522,386.38669924548617,398.82393503385822,null,null,null,null,null,"L","H","Price of x.",null,null,null,null,null,null,null,"Substitution effect"]
[null,15,99.751882500350803,117.61878582143089,134.79397334868682,151.37886735959054,167.45125504527357,183.07246791839003,198.29195730989517,213.15034016534491,227.68150032988513,241.91408219550786,255.87257971141659,269.57814789638195,283.0492191510566,296.3019791863278,309.35074000296839,322.20823605818123,334.88586222712536,347.39386704276194,359.74151113973426,371.93719831446617,383.98858480924429,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Income effect"]
["Consumption of Good y",14,93.939798293951696,111.22696222083169,127.84485492013742,143.89160775268661,159.44248389645333,174.55682479936959,189.28247721189175,203.6587401543039,217.71839801990461,231.48916575688983,244.99474254286608,258.25559696552278,271.28956333704758,284.11230217971172,296.73766110320082,309.17796136124463,321.44422809184624,333.54637728694485,345.49336909516109,357.29333462930003,368.95368170442049]
[null,13,88.045771358237033,104.74502232932268,120.79776307789507,136.29878765052896,151.32079962678125,165.92112233257154,180.14597531538578,194.03332108922703,207.61482909472437,220.91727173234372,233.96354220286324,246.77341298511726,259.36411187056854,271.75076678840526,283.94675440992307,295.96397695975452,307.81308462593972,319.50365617100556,331.04434702109313,342.44301176090914,353.70680627578804]
[null,12,82.06444379022328,98.167073807852148,113.64629173749152,128.59350488013416,143.07881930488384,157.15751032380459,170.87414617974994,184.26533308449473,197.36160901164021,210.18878985317644,222.76895089515617,235.12115819699426,247.26202404581838,259.20613588911743,270.96639248439368,282.55427082064364,293.98004058229344,305.25293830751269,316.3813101865008,327.37273018001196,338.2340985121449]
[null,11,75.989803055682046,91.486504388460034,106.38325211588044,120.76801395759944,134.70825794916948,148.25717943825705,161.45766960150053,174.34495718912126,186.94843105596402,199.29293566329841,211.39971562237216,223.28711955251171,234.97113463418319,246.46579940125929,257.78352724163773,268.93536327468553,279.93119074507575,290.77989862766537,301.48951905240136,312.06734097814223,322.52000497924564]
[null,10,69.815060604933194,84.695848382329942,99.000527600498842,112.81356971819461,126.19976126625725,139.21018335300599,151.88602245312143,164.26110715660172,176.36365826363993,188.21753279694411,199.84313100458033,211.25807224336126,222.47770828619434,233.51551970799554,244.38342652883466,255.09203488183331,265.65083520391539,276.06836317926087,286.35233170228321,296.50974003350683,306.54696481887822]
[null,9,63.532499379619189,77.786618975784407,91.488891423367804,104.72023087110696,117.54269552268215,130.0052153297853,142.14724229889799,154.00118041123514,165.59406201663387,176.94873945732064,188.08475387453589,199.01898262873743,209.76613099025829,220.33911183239204,230.74934319255738,241.00698455237799,251.12112668211114,261.09994580635976,270.95083000974989,280.68048379597406,290.29501527404528]
[null,8,57.133279750443066,70.749094810846984,83.837774633889453,96.476610004003007,108.7248801364763,120.6293238823943,132.22762657338276,143.55074112887422,154.62448938048365,165.47070033444004,176.1080400727418,186.55263018165391,196.81851742428356,206.91803643087411,216.86209393507519,226.66039447331693,236.3216217279369,245.85358578929802,255.26334390097401,264.55730033660166,273.74128968190411]
[null,7,50.607188957771719,63.572044433234858,76.034966521817026,88.06955080669151,99.732242418429564,111.0675456666679,122.11134418201588,132.89311105331953,143.4374335941929,153.76509718617029,163.8938755030515,173.83911937290176,183.61420399601408,193.23087429531364,202.69951556355346,212.02936837220992,221.22870124476148,230.30495087833933,239.26483711619838,248.11445804954766,256.85936931793765]
[null,6,43.942312284213649,56.242364665307889,68.066221460408897,79.483704468129176,90.548364463793519,101.30242369513557,111.77992577621276,122.00883249474639,132.01247039270461,141.8105590328793,151.41996070264068,160.85523908067026,170.12908352278237,179.2526367036844,188.23575138610875,197.0871943097541,205.81481001034206,214.42565385107588,222.92610109963056,231.32193715341714,239.61843277365668]
[null,5,37.12459342145506,48.744597120706359,59.914733266603648,70.700963330938208,81.153877359027788,91.313363203351059,101.21158226526046,110.87495037346052,120.3255043856463,129.5818736039937,138.65998802908734,147.57360613893275,156.33471571674718,164.95384337797148,173.44029714307996,181.80235905385379,190.04743993516405,198.18220507135121,206.21267725253639,214.1443220114856,221.98211869812283]
[null,4,30.137234022725057,41.060267863828393,51.560417286261881,61.699687381179679,71.525633794116104,81.075751897168331,90.380274045199755,99.464031640880123,108.34773976731836,117.04891033788114,125.5825178689265,133.96149560253832,142.19711229259562,150.29926316630056,158.27669794742815,166.1372019194423,173.88774140463966,181.53458190243796,189.0833849549513,196.53928827133277,203.90697253922517]
[null,3,22.959853061106944,33.16696291644795,42.978905295402207,52.453621314532157,61.635549698945674,70.559728276743485,79.254407895791232,87.742792444184474,96.044239284724569,104.17511255452887,112.14940530129086,119.97920308884332,127.67503608769111,135.24615096616523,142.70072396843676,150.04603011028689,157.28857912316963,164.43422584941038,171.48826075896025,178.45548482218069,185.34027194229921]
[null,2,15.567275160564364,25.036995728097324,34.140096789051555,42.930333636648442,51.448934622019131,59.728406345573447,67.794958737338106,75.670119373626093,83.371847188871342,90.915324130562084,98.313532350690693,105.57768431919453,112.71754947851319,119.74170649258942,126.6577409315495,133.47240224431141,140.19172988168103,146.82115571630152,153.36558802023183,159.82948092871911,166.21689236236372]
[null,1,7.9277224437991309,16.635418665728018,25.005997095262224,33.088887360272523,40.922000184187354,48.535226375247333,55.952666761670407,63.194116604952633,70.276089691789679,77.21254628487803,84.015423868016768,90.695032648504409,97.260355925944864,103.71928204287903,110.078786161864,116.34507460656322,122.52370083577084,128.61965962167213,134.63746426978219,140.58121049299848,146.45462967279403]
[null,0,0,7.9169277396184885,15.527352228077783,22.876214260517536,29.997981789228547,36.919831160616127,43.663674544168558,50.247509542334988,56.686350282003367,62.992889258200698,69.17797988085556,75.250996060596378,81.220105300286647,87.092479581618107,92.874460634542032,98.571691170370372,104.18922032389801,109.73158927909135,115.20290147648382,120.60688068666001,125.94691943466206]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
["Table 6 - An Indifference Map in which an Increase in the Price of x from $1 to $2 leads to the individual purchasing only y, given Income = $20 and Py = $1.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"To show Table 6, click Data, What-If Analysis, Scenario Manager, then choose JETTables6and7, Show, Close on the Base sheet."]
[]
[null,20,176.86725654131976,190.59512071565598,203.28863502336932,215.10287370356843,226.15981107181693,236.55719867840028,246.37463851869438,255.67785536941471,264.52177529980418,272.952790826914,281.01045852555234,288.72879218436856,296.13726228931273,303.26157867411172,310.12431064343497,316.74538360281343,323.14248068533368,329.33137046127217,335.32617653733416,341.13960103406708,346.78311113278056]
[null,19,169.91137965201222,183.54580660361827,196.15292387909602,207.88675022151793,218.86842974146123,229.19504865385667,238.94566715170853,248.18556266314758,256.9692874090681,265.34291814087106,273.34574219581657,281.01154185138023,288.36958700583733,295.44541250171216,302.26143402814273,308.83744137054214,315.19099730366497,321.33776307071889,327.29176614760814,333.06562219926968,338.67072035688477]
[null,18,162.817120390057,176.35625124983866,188.87525268372005,200.52706694037184,211.43199140902965,221.6864337328816,231.36890152377561,240.54421596156695,249.2665479813449,257.58165228692144,265.52854162171309,273.14076214626692,280.44737918062958,287.47374909479316,294.24213090628996,300.77217608234645,307.08132464493843,313.18512837500776,319.09751670520063,324.83101712487036,330.39693916231488]
[null,17,155.57782606268901,169.01971259695466,181.44879674861272,193.01692226407727,203.84352250086636,214.02431265770321,223.63723646830718,232.74664953671635,241.40633371720747,249.66171508206006,257.55152616704987,265.10907218862002,272.36320970619016,279.33911296852744,286.05888111856314,292.54202447756001,298.80585780515594,304.86582118218024,310.73574399362514,316.42806375059706,321.95400875110965]
[null,16,148.1863259883639,161.52892364076109,173.86620000450796,185.34887722781355,196.09550647026313,206.20109592750822,215.74301359963539,224.78513972616091,233.38085890014614,241.57526165288047,249.4067944211487,256.90851641145349,264.10907103340833,271.03344658546672,277.70357897460468,284.13883440853488,290.35639975092494,296.37160103400254,302.1981654916093,307.84843876481852,313.33356621349645]
[null,15,140.63487483067811,153.87603500294392,166.11951687039951,177.51489671181321,188.17982439818965,198.20858582265643,207.67796079286799,216.65134389699244,225.18171387019649,233.31381844171668,241.0858117582022,248.53050169259376,255.67631389216371,262.54804668111257,269.16746919805564,275.55380041855864,281.72409654266653,287.6935670860085,293.47583492073869,299.0831518298412,304.52657844026464]
["Consumption of Good y",14,132.91508783821817,146.05254930101566,158.2001458191109,169.50628225827859,180.0876871095513,190.03790786207125,199.43312301916146,208.3362306915748,216.79979470925844,224.86821235770233,232.57933897773307,239.96572550603733,247.0555749732215,253.87349149435406,260.4410737221155,266.7773901178457,272.89936330523324,278.82208368593848,284.55906744401216,290.12247041207831,295.52326659531553]
[null,13,125.01786654664301,138.04924585236506,150.09875315850928,161.31359499368884,171.80955729164259,181.67943216579079,190.99878299453451,199.83,208.22522257058716,216.22848949331782,223.87735043533675,231.20409349156418,238.23669395924031,244.99955728053143,251.5141077036734,257.79925971630922,263.87179929560466,269.74669499149388,275.43735384776795,280.9558335413335,286.31301946465391]
[null,12,116.93331318720266,129.85609393303957,141.80518522718114,152.92656683500715,163.3350597743129,173.12268286433036,182.36436976699818,191.12199076805558,199.44725074606563,207.38382148554535,214.96893972899178,222.23462449462045,229.20861794418116,235.9151221341661,242.37538277127248,248.60815671699606,254.63009006055211,260.45602660967103,266.09926167893889,271.5717524611685,276.88429363410108]
[null,11,108.65063165374222,121.46215241445296,133.30836680107717,144.33399775147083,154.65287772028776,164.35623328144791,173.51835294796479,182.20057432710786,190.45415713906968,198.3223971717307,205.84221057409505,213.04534069340923,219.95929084248161,226.60805470775614,233.01269507887397,239.19180732823884,245.16189422888033,250.93767178926822,256.53232085663609,261.95769567713847,267.22449799064856]
[null,10,100.15801238404609,112.8554530983598,124.59618299863052,135.52363633889723,145.75063195396766,155.36758409173277,164.44811976395491,173.05303039785062,181.23311927199541,189.03129664740041,196.48414995362467,203.62313987962676,210.47552483526684,217.06508485547113,223.41269517650053,229.53678558846872,235.45371191564368,241.17805912795865,246.72289070393745,252.0999553337289,257.31985946368133]
[null,9,91.442497878858916,104.02286442941354,115.65534132296246,126.48204030724413,136.61473999399783,146.14302098497259,155.13983142907742,163.66540223856666,171.77006827074172,179.49634414129898,186.88047993286216,193.95364625751992,200.74285019452137,207.2716525198274,213.56073599383924,219.62836047854694,225.49073099267537,231.16229802841556,236.65600461515055,241.98349111662642,247.15526618461558]
[null,8,82.489824769227198,94.949931441022329,106.47120964610156,117.19441263907164,127.23025050300495,136.66744750909302,145.57825447079676,154.02232653318816,162.04951738604328,169.70193523380595,177.01548363258777,184.02103522430198,190.74533891860733,197.21173026622608,203.44069431422164,209.45031637253308,215.2566465507588,220.87399720406279,226.31518763513512,231.59174693364108,236.71408329567919]
[null,7,73.28423728975649,85.620686723022729,97.027624859859074,107.64440808410473,117.58064776406839,126.92418764891626,135.74656151682922,144.10683248018671,152.05435946818463,159.63083279283452,166.87179969430963,173.80782642664465,180.46539643657874,186.86761368694809,193.03475992604683,198.98474098064051,204.73344767499592,210.29505032485699,215.68224101092417,220.90643440527069,225.97793541043492]
[null,6,63.808265638509425,76.017425804318933,87.306665505538263,97.813903226705563,107.64761935019716,116.89475124068397,125.62609458048989,133.90010306026772,141.76562631665161,149.2639244949907,156.43017805389877,163.29463786038559,169.88351410116098,176.21967234903465,182.32318508229187,188.21177337279101,193.90116408097816,199.4053813112323,204.73698618553155,209.90727559771418,214.92644812284493]
[null,5,54.042460886443266,66.120438501399846,77.288379829833673,87.682721477236896,97.410778247593498,106.55855339830548,115.19608194035861,123.38118950284053,131.16220085254525,138.57993281103541,145.66918783694473,152.45989176379621,158.97797316030869,165.24605191784295,171.28398484391971,177.10930260455609,182.73756308136282,188.18263969531696,193.45695860415657,198.57169532110672,203.53693884161504]
[null,4,43.965075674154498,55.907685325934104,66.950458226448234,77.22830182242005,86.847328151368615,95.892576560499123,104.4332971200493,112.5266673590785,120.22047042843627,127.55506568154216,134.5648655168645,141.27946036416455,147.72448818907776,153.92231536298684,159.89257614161795,165.6526047102013,171.21778458019904,176.60183368159511,181.81703890181925,186.87445050080399,191.78404439821506]
[null,3,33.551676661737183,45.354404728723964,56.267835666395015,66.425296775424997,75.931657222603476,84.87096030494142,93.311644979372872,101.31021906510234,108.91390603774398,116.16259252905215,123.0902878714173,129.72623590735299,136.09577430973061,142.22100747674847,148.12133969171646,153.81390210774873,159.31389805207442,164.63488477909297,169.78900526218715,174.78718033163253,179.63926906098703]
[null,2,22.77467022901849,34.432632428748057,45.21220513589158,55.245080330696005,64.634840911573264,73.464499345992166,81.801655155723509,89.702123065679629,97.21254733391082,104.37232536435846,111.21504934936961,117.76960444233103,124.06101753794775,130.1111219138468,135.93908385091294,141.5618243808189,146.99436035501944,152.25008274197788,157.34098557594473,162.27785573820873,167.07043137627403]
[null,1,11.602716739561716,23.110607809060614,33.751416756993883,43.655140313274373,52.924027969808158,61.640023587509916,69.869856490043517,77.668622908068016,85.082366655369711,92.149977979250508,98.904616645001468,105.37479597193229,111.58522068743302,117.55744301275179,123.3103825042266,128.86074237172673,134.22334615711966,139.41141244901812,144.43678088433975,149.31009948653187,154.04098104544349]
[null,0,0,11.35203356288698,21.848728359848156,31.618320505748169,40.761674673088606,49.35962491336953,57.477996799434131,65.171140364303028,72.484475825835048,79.456366719969736,86.119523711611279,92.502073948977497,98.628387570159433,104.51972490317719,110.19474926672649,115.66993765019706,120.95991283232172,126.07771437531794,131.03502156558574,135.84233821471122,140.50914692140393]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
["Table 7 - Overlay of Indifference Curves and Budget Constraints for Table 6: An Increase in the Price of x Causes the Individual to Purchase only y",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The graphic overlay here requires Pxlow=1, Pxhigh=2, and Income=20 in cells N2, O2, and R2 of the Base sheet."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Next, click Data, What-If Analysis, Scenario Manager, then choose JETTables6and7, Show, Close."]
["Consumption of Good y",20,176.86725654131976,190.59512071565598,203.28863502336932,215.10287370356843,226.15981107181693,236.55719867840028,246.37463851869438,255.67785536941471,264.52177529980418,272.952790826914,281.01045852555234,288.72879218436856,296.13726228931273,303.26157867411172,310.12431064343497,316.74538360281343,323.14248068533368,329.33137046127217,335.32617653733416,341.13960103406708,346.78311113278056,null,null,null,null,null,null,"To obtain Table 7,  click the graphic components you wish to use and  "]
[null,19,169.91137965201222,183.54580660361827,196.15292387909602,207.88675022151793,218.86842974146123,229.19504865385667,238.94566715170853,248.18556266314758,256.9692874090681,265.34291814087106,273.34574219581657,281.01154185138023,288.36958700583733,295.44541250171216,302.26143402814273,308.83744137054214,315.19099730366497,321.33776307071889,327.29176614760814,333.06562219926968,338.67072035688477,null,null,null,null,null,"Note: Prices and income can only be changed in N2:R2 of the Base sheet."]
[null,18,162.817120390057,176.35625124983866,188.87525268372005,200.52706694037184,211.43199140902965,221.6864337328816,231.36890152377561,240.54421596156695,249.2665479813449,257.58165228692144,265.52854162171309,273.14076214626692,280.44737918062958,287.47374909479316,294.24213090628996,300.77217608234645,307.08132464493843,313.18512837500776,319.09751670520063,324.83101712487036,330.39693916231488,null,null,null,null,null,null,null,"Budget Constraint",null,null,null,null,"$L to $H",null,"$H to $L"]
[null,17,155.57782606268901,169.01971259695466,181.44879674861272,193.01692226407727,203.84352250086636,214.02431265770321,223.63723646830718,232.74664953671635,241.40633371720747,249.66171508206006,257.55152616704987,265.10907218862002,272.36320970619016,279.33911296852744,286.05888111856314,292.54202447756001,298.80585780515594,304.86582118218024,310.73574399362514,316.42806375059706,321.95400875110965,null,null,null,null,null,null,null,"Indifference Curve",null,null,null,null,null,null,null,"Substitution BC"]
[null,16,148.1863259883639,161.52892364076109,173.86620000450796,185.34887722781355,196.09550647026313,206.20109592750822,215.74301359963539,224.78513972616091,233.38085890014614,241.57526165288047,249.4067944211487,256.90851641145349,264.10907103340833,271.03344658546672,277.70357897460468,284.13883440853488,290.35639975092494,296.37160103400254,302.1981654916093,307.84843876481852,313.33356621349645,null,null,null,null,null,"L","H","Price of x.",null,null,null,null,null,null,null,"Substitution effect"]
[null,15,140.63487483067811,153.87603500294392,166.11951687039951,177.51489671181321,188.17982439818965,198.20858582265643,207.67796079286799,216.65134389699244,225.18171387019649,233.31381844171668,241.0858117582022,248.53050169259376,255.67631389216371,262.54804668111257,269.16746919805564,275.55380041855864,281.72409654266653,287.6935670860085,293.47583492073869,299.0831518298412,304.52657844026464,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Income effect"]
[null,14,132.91508783821817,146.05254930101566,158.2001458191109,169.50628225827859,180.0876871095513,190.03790786207125,199.43312301916146,208.3362306915748,216.79979470925844,224.86821235770233,232.57933897773307,239.96572550603733,247.0555749732215,253.87349149435406,260.4410737221155,266.7773901178457,272.89936330523324,278.82208368593848,284.55906744401216,290.12247041207831,295.52326659531553]
[null,13,125.01786654664301,138.04924585236506,150.09875315850928,161.31359499368884,171.80955729164259,181.67943216579079,190.99878299453451,199.83,208.22522257058716,216.22848949331782,223.87735043533675,231.20409349156418,238.23669395924031,244.99955728053143,251.5141077036734,257.79925971630922,263.87179929560466,269.74669499149388,275.43735384776795,280.9558335413335,286.31301946465391]
[null,12,116.93331318720266,129.85609393303957,141.80518522718114,152.92656683500715,163.3350597743129,173.12268286433036,182.36436976699818,191.12199076805558,199.44725074606563,207.38382148554535,214.96893972899178,222.23462449462045,229.20861794418116,235.9151221341661,242.37538277127248,248.60815671699606,254.63009006055211,260.45602660967103,266.09926167893889,271.5717524611685,276.88429363410108]
[null,11,108.65063165374222,121.46215241445296,133.30836680107717,144.33399775147083,154.65287772028776,164.35623328144791,173.51835294796479,182.20057432710786,190.45415713906968,198.3223971717307,205.84221057409505,213.04534069340923,219.95929084248161,226.60805470775614,233.01269507887397,239.19180732823884,245.16189422888033,250.93767178926822,256.53232085663609,261.95769567713847,267.22449799064856]
[null,10,100.15801238404609,112.8554530983598,124.59618299863052,135.52363633889723,145.75063195396766,155.36758409173277,164.44811976395491,173.05303039785062,181.23311927199541,189.03129664740041,196.48414995362467,203.62313987962676,210.47552483526684,217.06508485547113,223.41269517650053,229.53678558846872,235.45371191564368,241.17805912795865,246.72289070393745,252.0999553337289,257.31985946368133]
[null,9,91.442497878858916,104.02286442941354,115.65534132296246,126.48204030724413,136.61473999399783,146.14302098497259,155.13983142907742,163.66540223856666,171.77006827074172,179.49634414129898,186.88047993286216,193.95364625751992,200.74285019452137,207.2716525198274,213.56073599383924,219.62836047854694,225.49073099267537,231.16229802841556,236.65600461515055,241.98349111662642,247.15526618461558]
[null,8,82.489824769227198,94.949931441022329,106.47120964610156,117.19441263907164,127.23025050300495,136.66744750909302,145.57825447079676,154.02232653318816,162.04951738604328,169.70193523380595,177.01548363258777,184.02103522430198,190.74533891860733,197.21173026622608,203.44069431422164,209.45031637253308,215.2566465507588,220.87399720406279,226.31518763513512,231.59174693364108,236.71408329567919]
[null,7,73.28423728975649,85.620686723022729,97.027624859859074,107.64440808410473,117.58064776406839,126.92418764891626,135.74656151682922,144.10683248018671,152.05435946818463,159.63083279283452,166.87179969430963,173.80782642664465,180.46539643657874,186.86761368694809,193.03475992604683,198.98474098064051,204.73344767499592,210.29505032485699,215.68224101092417,220.90643440527069,225.97793541043492]
[null,6,63.808265638509425,76.017425804318933,87.306665505538263,97.813903226705563,107.64761935019716,116.89475124068397,125.62609458048989,133.90010306026772,141.76562631665161,149.2639244949907,156.43017805389877,163.29463786038559,169.88351410116098,176.21967234903465,182.32318508229187,188.21177337279101,193.90116408097816,199.4053813112323,204.73698618553155,209.90727559771418,214.92644812284493]
[null,5,54.042460886443266,66.120438501399846,77.288379829833673,87.682721477236896,97.410778247593498,106.55855339830548,115.19608194035861,123.38118950284053,131.16220085254525,138.57993281103541,145.66918783694473,152.45989176379621,158.97797316030869,165.24605191784295,171.28398484391971,177.10930260455609,182.73756308136282,188.18263969531696,193.45695860415657,198.57169532110672,203.53693884161504]
[null,4,43.965075674154498,55.907685325934104,66.950458226448234,77.22830182242005,86.847328151368615,95.892576560499123,104.4332971200493,112.5266673590785,120.22047042843627,127.55506568154216,134.5648655168645,141.27946036416455,147.72448818907776,153.92231536298684,159.89257614161795,165.6526047102013,171.21778458019904,176.60183368159511,181.81703890181925,186.87445050080399,191.78404439821506]
[null,3,33.551676661737183,45.354404728723964,56.267835666395015,66.425296775424997,75.931657222603476,84.87096030494142,93.311644979372872,101.31021906510234,108.91390603774398,116.16259252905215,123.0902878714173,129.72623590735299,136.09577430973061,142.22100747674847,148.12133969171646,153.81390210774873,159.31389805207442,164.63488477909297,169.78900526218715,174.78718033163253,179.63926906098703]
[null,2,22.77467022901849,34.432632428748057,45.21220513589158,55.245080330696005,64.634840911573264,73.464499345992166,81.801655155723509,89.702123065679629,97.21254733391082,104.37232536435846,111.21504934936961,117.76960444233103,124.06101753794775,130.1111219138468,135.93908385091294,141.5618243808189,146.99436035501944,152.25008274197788,157.34098557594473,162.27785573820873,167.07043137627403]
[null,1,11.602716739561716,23.110607809060614,33.751416756993883,43.655140313274373,52.924027969808158,61.640023587509916,69.869856490043517,77.668622908068016,85.082366655369711,92.149977979250508,98.904616645001468,105.37479597193229,111.58522068743302,117.55744301275179,123.3103825042266,128.86074237172673,134.22334615711966,139.41141244901812,144.43678088433975,149.31009948653187,154.04098104544349]
[null,0,0,11.35203356288698,21.848728359848156,31.618320505748169,40.761674673088606,49.35962491336953,57.477996799434131,65.171140364303028,72.484475825835048,79.456366719969736,86.119523711611279,92.502073948977497,98.628387570159433,104.51972490317719,110.19474926672649,115.66993765019706,120.95991283232172,126.07771437531794,131.03502156558574,135.84233821471122,140.50914692140393]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,"Consumption of Good x"]
[]
["Table 8 - An Indifference Map where x and y are Complementary Goods",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"To show Table 8, click Data, What-If Analysis, Scenario Manager, then choose JETTables8and9, Show, Close on the Base sheet."]
[]
[null,20,null,{"$f":"E195+(E195-F195)","v":85.618500485928507},{"$f":"F195+(F195-G195)","v":120.36928320171998},155.12006591751145,189.87084863330293,208.58278478568644,221.90445432489111,232.40667767574004,241.14831667264934,248.67581928949326,255.31055652475075,261.25859210696683,266.66047181766078,271.61661393686063,276.20141708512051,280.47163241980371,284.47159854744319,288.23665705719333,291.79546120773671,295.17158378127999,298.38466587583366]
[null,19,null,84.130712199267066,118.27763234816658,152.42455249706609,186.5714726459656,204.9582524446374,218.04843201629157,228.36815877123405,236.95789475615405,244.35459234654232,250.87403809353884,256.71871496685861,262.02672649119194,266.89674598327122,271.40187924264126,275.59789126471787,279.52835018634505,283.22798346769696,286.72494646125142,290.04240232618918,293.19965085816904]
[null,18,null,82.570514575320828,116.08418270140126,149.59785082748169,183.11151895356213,201.15731732697313,214.00474051952582,224.13308873098589,232.56352871895464,239.8230551181822,246.22159824236701,251.95788603003524,257.16746088657328,261.94716623960045,266.36875214719981,270.48694944721171,274.34451830871416,277.97554217378814,281.40765425605298,284.66358815567366,287.76228575507452]
[null,17,null,80.928906247280622,113.77627942555904,146.62365260383746,179.47102578211587,197.15805040864774,209.75005025770761,219.67703384332341,227.93986581086904,235.05506346204535,241.32639529617092,246.94863828403734,252.05464007319139,256.73931871900396,261.07299779586123,265.10932002195619,268.8901954390542,272.44902986644723,275.81290713382703,279.00410886806571,282.04120036253408]
[null,16,null,79.194979190772045,111.33858715424546,143.48219511771887,175.62580308119229,192.93387768885981,205.25609001395236,214.97038488021221,223.05618309583565,230.01893541824302,236.15590201191529,241.65768669029788,246.65429079865606,251.23859874342145,255.47942739446637,259.42927015801638,263.12913914012114,266.61172442997565,269.90352957777355,273.02635881958207,275.99837968157141]
[null,15,null,77.355319591452343,108.75224768265349,140.14917577385464,171.54610386505578,188.45212059073265,200.48809411103804,209.97673078552933,217.87469996883874,224.67571105110071,230.67011899244284,236.04409997543465,240.92463547937032,245.40245225256149,249.54476858354914,253.40285848309173,257.01678136660911,260.41846794893956,263.63380611611422,266.68409360274541,269.58707591249311]
["Consumption of Good y",14,null,75.393147648208611,105.99367063462873,136.59419362104884,167.19471660746896,183.67190035997305,195.40257296915948,204.65052371848554,212.34815537333614,218.97665403884662,224.81900961790805,230.05667580362353,234.81341310099236,239.1776469107138,243.21489048228906,246.9751172252268,250.49737041977468,253.8127708357909,256.94654969491808,259.91946449979054,262.74881062692009]
[null,13,null,73.287044305305983,103.03274340166931,132.77844249803263,162.52414159439596,178.54103614469437,189.94401307373775,198.93362283856166,206.4162215856955,212.85955351346746,218.53870321773368,223.63005549287718,228.2539136011446,232.49623278463565,236.42069618390823,240.07588120408454,243.4997404535726,246.72252534527334,249.7687622680707,252.65862886492934,255.40893736699007]
[null,12,null,71.008997008386984,99.830083711608268,128.65117041482955,157.47225711805083,172.99128408914461,184.03981200177222,192.74998961840083,200,206.2430480301152,211.74566760200625,216.67876078240801,221.15889133876334,225.26934268885728,229.07181845275289,232.61338606027624,235.93081840467812,239.05342656690803,242.0049745599834,244.80501282699421,247.46983100933747]
[null,11,null,68.521265993847891,96.332634009508297,124.1440020251687,151.95537004082911,166.93070302471028,177.5921565283021,185.99718155987915,192.99319489262678,199.01752381862704,204.3273644759168,209.08763154386065,213.41080509189609,217.37725078442284,221.04651051530277,224.46400275282366,227.66521208775492,230.67842271588762,233.52656610120036,236.22850775606051,238.7999666301524]
[null,10,null,65.77108000664694,92.466204276775414,119.16132854690389,145.85645281703236,160.23073223997034,170.46427508541106,178.53195401386745,185.24717367541058,191.02970868890398,196.12643230642306,200.69564015215744,204.84529776846574,208.65254524414163,212.17453468529621,215.45486163366664,218.52758646196583,221.41985814471013,224.15368776313284,226.7471836388666,229.21543382205621]
[null,9,null,62.681020175464639,88.121952919663983,113.56288566386333,139.00381840806267,152.70276479036147,162.45551486678909,170.14415774193483,176.54388265211304,182.05474234621383,186.91201146610962,191.26654858387354,195.22124679991023,198.84962200390126,202.20614117914474,205.33235165968037,208.26071359226242,211.01710043706862,213.62248914972656,216.09413728588947,218.44642402825357]
[null,8,null,59.129939309189922,83.129561601912854,107.12918389463579,131.12880618735872,144.05166331249276,153.25188881141651,160.50494540342396,166.54210536787636,171.74075718211714,176.32284642482324,180.43068504602334,184.16133692191519,187.58415303119958,190.75051462784705,193.69961525614514,196.46207609140603,199.06230477928943,201.52008986359499,203.85171120408799,206.07073335663819]
[null,7,null,54.910057207741673,77.19691642751414,99.483775647286606,121.77063486705907,133.77123612453912,142.31487601952392,149.05030915290814,154.65661964287762,159.48426316590633,163.73934587675336,167.55402345507471,171.01843269209809,174.19697524715826,177.13736548674859,179.87599985882997,182.44131422022568,184.85597433442433,187.13835651103813,189.3035787772711,191.3642376374915]
[null,6,null,49.610598176592489,69.746516323378387,89.882434470164284,110.01835261695018,120.8607563064953,128.57983560360881,134.66522111798631,139.73045745381512,144.09217723958579,147.93659498945905,151.38311182325822,154.51316528371996,157.38494152117133,160.04154991090223,162.51587422041652,164.83360591569328,167.01522325048029,169.07732900682689,171.0335821465149,172.89536346476521]
[null,5,null,42.181231220856148,59.30172261607089,76.422214011285632,93.542705406500374,102.76141983099916,109.32453901542564,114.49861598455033,118.80531481348493,122.51385124655265,125.78255349923946,128.71294194074886,131.37425854651542,133.81597587988253,136.07474753088385,138.17853280360913,140.14917577385464,142.00408800261903,143.75738594514124,145.42068308415134,147.00365589952128]
[null,4,null,27.052258639017573,38.032212230827959,49.012165822638345,59.99211941444873,65.904394606820915,70.113546225136346,73.431857813863459,76.193890292021365,78.57230087549344,80.668630835390431,82.547988638329684,84.254781518854031,85.820737914952772,87.269365020914435,88.618594089661485,89.88243447016427,91.072052788853881,92.196502408733977,93.263231451384385,94.278445772552615]
[null,3,null,18,28,{"$f":"(F211+F213)/2","v":32.006082911319169},38.996059707224362,43.452197303410458,47.056773112568173,50.21592890693173,53.096945146010682,55.78615043774672,58.334315417695215,60.773994319164842,63.127390759427016,65.410368957476379,67.634682510457225,69.809297044830743,71.941217235082135,74.036026394426941,76.098251204366989,78.1316157256922,{"$f":"(W211+W213)/2","v":80.139222886276315}]
[null,2,null,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66]
[null,1,null,1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39]
[null,0]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,"Consumption of Good x"]
[]
["Table 9 - Overlay of Indifference Curves and Budget Constraints showing the Substitution and Income Effects of a Price of x Increase: y is a complement of x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The graphic overlay here requires Pxlow=1, Pxhigh=2, and Income=20 in cells N2, O2, and R2 of the Base worksheet."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Next, click Data, What-If Analysis, Scenario Manager, then choose JETTables8and9, Show, Close."]
[null,20,null,{"$f":"E221+(E221-F221)","v":85.618500485928507},{"$f":"F221+(F221-G221)","v":120.36928320171998},155.12006591751145,189.87084863330293,208.58278478568644,221.90445432489111,232.40667767574004,241.14831667264934,248.67581928949326,255.31055652475075,261.25859210696683,266.66047181766078,271.61661393686063,276.20141708512051,280.47163241980371,284.47159854744319,288.23665705719333,291.79546120773671,295.17158378127999,298.38466587583366,null,null,null,null,null,null,"To obtain Table 9,  click the graphic components you wish to use and  "]
[null,19,null,{"$f":"E222+(E222-F222)","v":84.130712199267066},{"$f":"F222+(F222-G222)","v":118.27763234816658},152.42455249706609,186.5714726459656,204.9582524446374,218.04843201629157,228.36815877123405,236.95789475615405,244.35459234654232,250.87403809353884,256.71871496685861,262.02672649119194,266.89674598327122,271.40187924264126,275.59789126471787,279.52835018634505,283.22798346769696,286.72494646125142,290.04240232618918,293.19965085816904,null,null,null,null,null,"Note: Prices and income can only be changed in N2:R2 of the Base sheet."]
[null,18,null,82.570514575320828,116.08418270140126,149.59785082748169,183.11151895356213,201.15731732697313,214.00474051952582,224.13308873098589,232.56352871895464,239.8230551181822,246.22159824236701,251.95788603003524,257.16746088657328,261.94716623960045,266.36875214719981,270.48694944721171,274.34451830871416,277.97554217378814,281.40765425605298,284.66358815567366,287.76228575507452,null,null,null,null,null,null,null,"Budget Constraint",null,null,null,null,"$L to $H",null,"$H to $L"]
[null,17,null,80.928906247280622,113.77627942555904,146.62365260383746,179.47102578211587,197.15805040864774,209.75005025770761,219.67703384332341,227.93986581086904,235.05506346204535,241.32639529617092,246.94863828403734,252.05464007319139,256.73931871900396,261.07299779586123,265.10932002195619,268.8901954390542,272.44902986644723,275.81290713382703,279.00410886806571,282.04120036253408,null,null,null,null,null,null,null,"Indifference Curve",null,null,null,null,null,null,null,"Substitution BC"]
[null,16,null,79.194979190772045,111.33858715424546,143.48219511771887,175.62580308119229,192.93387768885981,205.25609001395236,214.97038488021221,223.05618309583565,230.01893541824302,236.15590201191529,241.65768669029788,246.65429079865606,251.23859874342145,255.47942739446637,259.42927015801638,263.12913914012114,266.61172442997565,269.90352957777355,273.02635881958207,275.99837968157141,null,null,null,null,null,"L","H","Price of x.",null,null,null,null,null,null,null,"Substitution effect"]
[null,15,null,77.355319591452343,108.75224768265349,140.14917577385464,171.54610386505578,188.45212059073265,200.48809411103804,209.97673078552933,217.87469996883874,224.67571105110071,230.67011899244284,236.04409997543465,240.92463547937032,245.40245225256149,249.54476858354914,253.40285848309173,257.01678136660911,260.41846794893956,263.63380611611422,266.68409360274541,269.58707591249311,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Income effect"]
["Consumption of Good y",14,null,75.393147648208611,105.99367063462873,136.59419362104884,167.19471660746896,183.67190035997305,195.40257296915948,204.65052371848554,212.34815537333614,218.97665403884662,224.81900961790805,230.05667580362353,234.81341310099236,239.1776469107138,243.21489048228906,246.9751172252268,250.49737041977468,253.8127708357909,256.94654969491808,259.91946449979054,262.74881062692009]
[null,13,null,73.287044305305983,103.03274340166931,132.77844249803263,162.52414159439596,178.54103614469437,189.94401307373775,198.93362283856166,206.4162215856955,212.85955351346746,218.53870321773368,223.63005549287718,228.2539136011446,232.49623278463565,236.42069618390823,240.07588120408454,243.4997404535726,246.72252534527334,249.7687622680707,252.65862886492934,255.40893736699007]
[null,12,null,71.008997008386984,99.830083711608268,128.65117041482955,157.47225711805083,172.99128408914461,184.03981200177222,192.74998961840083,200,206.2430480301152,211.74566760200625,216.67876078240801,221.15889133876334,225.26934268885728,229.07181845275289,232.61338606027624,235.93081840467812,239.05342656690803,242.0049745599834,244.80501282699421,247.46983100933747]
[null,11,null,68.521265993847891,96.332634009508297,124.1440020251687,151.95537004082911,166.93070302471028,177.5921565283021,185.99718155987915,192.99319489262678,199.01752381862704,204.3273644759168,209.08763154386065,213.41080509189609,217.37725078442284,221.04651051530277,224.46400275282366,227.66521208775492,230.67842271588762,233.52656610120036,236.22850775606051,238.7999666301524]
[null,10,null,65.77108000664694,92.466204276775414,119.16132854690389,145.85645281703236,160.23073223997034,170.46427508541106,178.53195401386745,185.24717367541058,191.02970868890398,196.12643230642306,200.69564015215744,204.84529776846574,208.65254524414163,212.17453468529621,215.45486163366664,218.52758646196583,221.41985814471013,224.15368776313284,226.7471836388666,229.21543382205621]
[null,9,null,62.681020175464639,88.121952919663983,113.56288566386333,139.00381840806267,152.70276479036147,162.45551486678909,170.14415774193483,176.54388265211304,182.05474234621383,186.91201146610962,191.26654858387354,195.22124679991023,198.84962200390126,202.20614117914474,205.33235165968037,208.26071359226242,211.01710043706862,213.62248914972656,216.09413728588947,218.44642402825357]
[null,8,null,59.129939309189922,83.129561601912854,107.12918389463579,131.12880618735872,144.05166331249276,153.25188881141651,160.50494540342396,166.54210536787636,171.74075718211714,176.32284642482324,180.43068504602334,184.16133692191519,187.58415303119958,190.75051462784705,193.69961525614514,196.46207609140603,199.06230477928943,201.52008986359499,203.85171120408799,206.07073335663819]
[null,7,null,54.910057207741673,77.19691642751414,99.483775647286606,121.77063486705907,133.77123612453912,142.31487601952392,149.05030915290814,154.65661964287762,159.48426316590633,163.73934587675336,167.55402345507471,171.01843269209809,174.19697524715826,177.13736548674859,179.87599985882997,182.44131422022568,184.85597433442433,187.13835651103813,189.3035787772711,191.3642376374915]
[null,6,null,49.610598176592489,69.746516323378387,89.882434470164284,110.01835261695018,120.8607563064953,128.57983560360881,134.66522111798631,139.73045745381512,144.09217723958579,147.93659498945905,151.38311182325822,154.51316528371996,157.38494152117133,160.04154991090223,162.51587422041652,164.83360591569328,167.01522325048029,169.07732900682689,171.0335821465149,172.89536346476521]
[null,5,null,42.181231220856148,59.30172261607089,76.422214011285632,93.542705406500374,102.76141983099916,109.32453901542564,114.49861598455033,118.80531481348493,122.51385124655265,125.78255349923946,128.71294194074886,131.37425854651542,133.81597587988253,136.07474753088385,138.17853280360913,140.14917577385464,142.00408800261903,143.75738594514124,145.42068308415134,147.00365589952128]
[null,4,null,27.052258639017573,38.032212230827959,49.012165822638345,59.99211941444873,65.904394606820915,70.113546225136346,73.431857813863459,76.193890292021365,78.57230087549344,80.668630835390431,82.547988638329684,84.254781518854031,85.820737914952772,87.269365020914435,88.618594089661485,89.88243447016427,91.072052788853881,92.196502408733977,93.263231451384385,94.278445772552615]
[null,3,null,18,28,{"$f":"(F237+F239)/2","v":32.006082911319169},38.996059707224362,43.452197303410458,47.056773112568173,50.21592890693173,53.096945146010682,55.78615043774672,58.334315417695215,60.773994319164842,63.127390759427016,65.410368957476379,67.634682510457225,69.809297044830743,71.941217235082135,74.036026394426941,76.098251204366989,78.1316157256922,{"$f":"(W237+W239)/2","v":80.139222886276315}]
[null,2,null,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66]
[null,1,null,1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39]
[null,0]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,"Consumption of Good x"]

{"sheet":"Affordability","index":4,"n_rows":28,"n_cols":23,"rows_kept":28,"cut":false,"hidden":false,"merged":[[10,0,20,0],[26,9,26,15],[27,0,29,23]]}
[12,"Income"]
[0.5,"Px",null,null,null,"Cost, C, of various bundles, C = Pxx + y given Py = 1:"]
[null,null,null,"Affordable bundles for various values of Income and Px are highlighted"]
[]
[null,20,{"$f":"$B5+C$26*$A$2","v":20},{"$f":"$B5+D$26*$A$2","v":20.5},21,21.5,22,22.5,23,23.5,24,24.5,25,25.5,26,26.5,27,27.5,28,28.5,29,29.5,30]
[null,19,19,19.5,20,20.5,21,21.5,22,22.5,23,23.5,24,24.5,25,25.5,26,26.5,27,27.5,28,28.5,29]
[null,18,18,18.5,19,19.5,20,20.5,21,21.5,22,22.5,23,23.5,24,24.5,25,25.5,26,26.5,27,27.5,28]
[null,17,17,17.5,18,18.5,19,19.5,20,20.5,21,21.5,22,22.5,23,23.5,24,24.5,25,25.5,26,26.5,27]
[null,16,16,16.5,17,17.5,18,18.5,19,19.5,20,20.5,21,21.5,22,22.5,23,23.5,24,24.5,25,25.5,26]
[null,15,15,15.5,16,16.5,17,17.5,18,18.5,19,19.5,20,20.5,21,21.5,22,22.5,23,23.5,24,24.5,25]
["Consumption of Good y",14,14,14.5,15,15.5,16,16.5,17,17.5,18,18.5,19,19.5,20,20.5,21,21.5,22,22.5,23,23.5,24]
[null,13,13,13.5,14,14.5,15,15.5,16,16.5,17,17.5,18,18.5,19,19.5,20,20.5,21,21.5,22,22.5,23]
[null,12,12,12.5,13,13.5,14,14.5,15,15.5,16,16.5,17,17.5,18,18.5,19,19.5,20,20.5,21,21.5,22]
[null,11,11,11.5,12,12.5,13,13.5,14,14.5,15,15.5,16,16.5,17,17.5,18,18.5,19,19.5,20,20.5,21]
[null,10,10,10.5,11,11.5,12,12.5,13,13.5,14,14.5,15,15.5,16,16.5,17,17.5,18,18.5,19,19.5,20]
[null,9,9,9.5,10,10.5,11,11.5,12,12.5,13,13.5,14,14.5,15,15.5,16,16.5,17,17.5,18,18.5,19]
[null,8,8,8.5,9,9.5,10,10.5,11,11.5,12,12.5,13,13.5,14,14.5,15,15.5,{"$f":"$B17+S$26*$A$2","v":16},16.5,17,17.5,18]
[null,7,7,{"$f":"$B18+D$26*$A$2","v":7.5},8,8.5,9,9.5,10,10.5,11,11.5,12,12.5,13,13.5,14,14.5,15,15.5,16,16.5,17]
[null,6,6,6.5,7,7.5,8,8.5,9,9.5,10,10.5,11,11.5,12,12.5,13,13.5,14,14.5,15,15.5,16]
[null,5,5,5.5,6,6.5,7,7.5,8,8.5,9,9.5,10,10.5,11,11.5,12,12.5,13,13.5,14,14.5,15]
[null,4,4,4.5,5,5.5,6,6.5,7,7.5,8,8.5,9,9.5,10,10.5,11,11.5,12,12.5,13,13.5,14]
[null,3,3,3.5,4,4.5,5,5.5,6,6.5,7,7.5,8,8.5,9,9.5,10,10.5,11,11.5,12,12.5,13]
[null,2,2,2.5,3,3.5,4,4.5,5,5.5,6,6.5,7,7.5,8,8.5,9,9.5,10,10.5,11,11.5,12]
[null,1,1,1.5,2,2.5,3,3.5,4,4.5,5,5.5,6,6.5,7,7.5,8,8.5,9,9.5,10,10.5,11]
[null,0,0,0.5,1,1.5,2,2.5,3,3.5,4,4.5,5,5.5,6,6.5,7,7.5,8,8.5,9,9.5,10]
[null,"y/x",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
[null,null,null,null,null,null,null,null,null,"Consumption of Good x"]
["This is the other side of the consumer choice problem, it examines the question: What can you afford? Make sure you understand that the numbers here are NOT utility levels, they represent the cost of various bundles. Dollar signs have been suppressed to save space.  "]

{"sheet":"Figure 1","index":5,"n_rows":124,"n_cols":16,"rows_kept":124,"cut":false,"hidden":false,"merged":[[0,0,1,10],[19,9,19,10],[28,9,28,10],[29,1,30,3],[28,1,28,6],[14,9,17,10],[8,0,19,0],[26,3,26,6]]}
["Figure 1 - A Continuous Indifference Map Based on Table 1, with U(x, y) = x∙y, and Table 2, with V(x, y) = 10∙(x∙y)0.5, through x = y = n bundles for n = 4, 5, 6, 7, and 8  "]
[]
[]
[]
[]
[]
[]
[]
[" Consumption of Good y"]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,"Indifference curve utility levels"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,"U ","V"]
[null,null,null,null,null,null,null,null,null,"x∙y          a(xy)b"]
[null,null,null,null,null,null,null,null,null,{"$f":"IF($C$47,O48,\" \")","v":" "}," "]
[null,null,null,null,null,null,null,null,null," "," "]
[null,null,null,null,null,null,null,null,null," "," "]
[null,null,null,null,null,null,null,null,null," "," "]
[null,null,null,null,null,null,null,null,null," "," "]
[]
[null,null,null," Consumption of Good y"]
[]
[null,"Parameters for the utility function",null,null,null,null,null,null,null,"Show values"]
[null,"U(x,y)=a(xy)b",null,null,{"$f":"D43","v":10},null,null,"Note: JET Figure 1, sets a = 10 and b = 0.50"]
[null,null,null,null,{"$f":"D44","v":0.5}]
[null,"To drive home the point, click Show values and then vary a and b using the sliders. Note nothing happens to the indifference curves, only the values of V change. "]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"a =",{"$f":"B45/100","v":10}]
[null,null,"b =",{"$f":"B46/100","v":0.5}]
[null,1000,"a slider",null,"shifted CD"]
[null,50,"a slider",null,"b is currently tied to a (separate by creating a second slider for b"]
[null,false,{"$f":"IF(B47,1,0)","v":0},"utility","note: this was started from worksheet for diagram 9, X and Y are reversed in the diagram, this will cause problems once a and be are untied."]
[null,null,null,16,null,25,null,36,null,null,49,null,64,8,{"$f":"N48^2","v":64},{"$f":"$D$43*O48^$D$44","v":80}]
[null,null,0.1,{"$f":"D$48/C49","v":160},{"$f":"C49","v":0.1},{"$f":"F$48/E49","v":250},{"$f":"C49","v":0.1},{"$f":"H$48/G49","v":360},null,{"$f":"C49","v":0.1},{"$f":"K$48/J49","v":490},{"$f":"C49","v":0.1},{"$f":"M$48/L49","v":640},7,{"$f":"N49^2","v":49},{"$f":"$D$43*O49^$D$44","v":70}]
[null,null,{"$f":"C49+0.1","v":0.2},80,0.2,125,0.2,180,null,0.2,245,0.2,320,6,{"$f":"N50^2","v":36},{"$f":"$D$43*O50^$D$44","v":60}]
[null,null,0.30000000000000004,53.333333333333329,0.30000000000000004,83.333333333333314,0.30000000000000004,119.99999999999999,null,0.30000000000000004,163.33333333333331,0.30000000000000004,213.33333333333331,5,{"$f":"N51^2","v":25},{"$f":"$D$43*O51^$D$44","v":50}]
[null,null,0.4,40,0.4,62.5,0.4,90,null,0.4,122.5,0.4,160,4,{"$f":"N52^2","v":16},{"$f":"$D$43*O52^$D$44","v":40}]
[null,null,0.5,32,0.5,50,0.5,72,null,0.5,98,0.5,128]
[null,null,0.6,26.666666666666668,0.6,41.666666666666671,0.6,60,null,0.6,81.666666666666671,0.6,106.66666666666667]
[null,null,0.7,22.857142857142858,0.7,35.714285714285715,0.7,51.428571428571431,null,0.7,70,0.7,91.428571428571431]
[null,null,0.79999999999999993,20,0.79999999999999993,31.250000000000004,0.79999999999999993,45.000000000000007,null,0.79999999999999993,61.250000000000007,0.79999999999999993,80]
[null,null,0.89999999999999991,17.777777777777779,0.89999999999999991,27.777777777777782,0.89999999999999991,40.000000000000007,null,0.89999999999999991,54.44444444444445,0.89999999999999991,71.111111111111114]
[null,null,0.99999999999999989,16.000000000000004,0.99999999999999989,25.000000000000004,0.99999999999999989,36.000000000000007,null,0.99999999999999989,49.000000000000007,0.99999999999999989,64.000000000000014]
[null,null,1.0999999999999999,14.545454545454547,1.0999999999999999,22.72727272727273,1.0999999999999999,32.727272727272734,null,1.0999999999999999,44.545454545454554,1.0999999999999999,58.181818181818187]
[null,null,1.2,13.333333333333334,1.2,20.833333333333336,1.2,30,null,1.2,40.833333333333336,1.2,53.333333333333336]
[null,null,1.3,12.307692307692307,1.3,19.23076923076923,1.3,27.69230769230769,null,1.3,37.692307692307693,1.3,49.230769230769226]
[null,null,1.4000000000000001,11.428571428571427,1.4000000000000001,17.857142857142854,1.4000000000000001,25.714285714285712,null,1.4000000000000001,35,1.4000000000000001,45.714285714285708]
[null,null,1.5000000000000002,10.666666666666664,1.5000000000000002,16.666666666666664,1.5000000000000002,23.999999999999996,null,1.5000000000000002,32.666666666666664,1.5000000000000002,42.666666666666657]
[null,null,1.6000000000000003,9.9999999999999982,1.6000000000000003,15.624999999999996,1.6000000000000003,22.499999999999996,null,1.6000000000000003,30.624999999999993,1.6000000000000003,39.999999999999993]
[null,null,1.7000000000000004,9.4117647058823515,1.7000000000000004,14.705882352941172,1.7000000000000004,21.17647058823529,null,1.7000000000000004,28.823529411764699,1.7000000000000004,37.647058823529406]
[null,null,1.8000000000000005,8.8888888888888857,1.8000000000000005,13.888888888888886,1.8000000000000005,19.999999999999993,null,1.8000000000000005,27.222222222222214,1.8000000000000005,35.555555555555543]
[null,null,1.9000000000000006,8.4210526315789451,1.9000000000000006,13.157894736842101,1.9000000000000006,18.947368421052627,null,1.9000000000000006,25.789473684210517,1.9000000000000006,33.68421052631578]
[null,null,2.0000000000000004,7.9999999999999982,2.0000000000000004,12.499999999999996,2.0000000000000004,17.999999999999996,null,2.0000000000000004,24.499999999999993,2.0000000000000004,31.999999999999993]
[null,null,2.1000000000000005,7.6190476190476168,2.1000000000000005,11.904761904761902,2.1000000000000005,17.142857142857139,null,2.1000000000000005,23.333333333333329,2.1000000000000005,30.476190476190467]
[null,null,2.2000000000000006,7.2727272727272707,2.2000000000000006,11.36363636363636,2.2000000000000006,16.36363636363636,null,2.2000000000000006,22.272727272727266,2.2000000000000006,29.090909090909083]
[null,null,2.3000000000000007,6.9565217391304328,2.3000000000000007,10.869565217391301,2.3000000000000007,15.652173913043473,null,2.3000000000000007,21.30434782608695,2.3000000000000007,27.826086956521731]
[null,null,2.4000000000000008,6.6666666666666643,2.4000000000000008,10.416666666666663,2.4000000000000008,14.999999999999995,null,2.4000000000000008,20.416666666666661,2.4000000000000008,26.666666666666657]
[null,null,2.5000000000000009,6.3999999999999977,2.5000000000000009,9.9999999999999964,2.5000000000000009,14.399999999999995,null,2.5000000000000009,19.599999999999994,2.5000000000000009,25.599999999999991]
[null,null,2.600000000000001,6.1538461538461515,2.600000000000001,9.6153846153846114,2.600000000000001,13.846153846153841,null,2.600000000000001,18.84615384615384,2.600000000000001,24.615384615384606]
[null,null,2.7000000000000011,5.9259259259259238,2.7000000000000011,9.259259259259256,2.7000000000000011,13.333333333333329,null,2.7000000000000011,18.148148148148142,2.7000000000000011,23.703703703703695]
[null,null,2.8000000000000012,5.7142857142857117,2.8000000000000012,8.9285714285714253,2.8000000000000012,12.857142857142852,null,2.8000000000000012,17.499999999999993,2.8000000000000012,22.857142857142847]
[null,null,2.9000000000000012,5.5172413793103425,2.9000000000000012,8.6206896551724093,2.9000000000000012,12.41379310344827,null,2.9000000000000012,16.896551724137925,2.9000000000000012,22.06896551724137]
[null,null,3.0000000000000013,5.3333333333333313,3.0000000000000013,8.3333333333333304,3.0000000000000013,11.999999999999995,null,3.0000000000000013,16.333333333333325,3.0000000000000013,21.333333333333325]
[null,null,3.1000000000000014,5.1612903225806424,3.1000000000000014,8.0645161290322545,3.1000000000000014,11.612903225806447,null,3.1000000000000014,15.806451612903219,3.1000000000000014,20.645161290322569]
[null,null,3.2000000000000015,4.9999999999999973,3.2000000000000015,7.8124999999999964,3.2000000000000015,11.249999999999995,null,3.2000000000000015,15.312499999999993,3.2000000000000015,19.999999999999989]
[null,null,3.3000000000000016,{"$f":"D$48/C81","v":4.848484848484846},{"$f":"C81","v":3.3000000000000016},{"$f":"F$48/E81","v":7.5757575757575717},{"$f":"C81","v":3.3000000000000016},{"$f":"H$48/G81","v":10.909090909090903},null,{"$f":"C81","v":3.3000000000000016},{"$f":"K$48/J81","v":14.848484848484841},{"$f":"C81","v":3.3000000000000016},{"$f":"M$48/L81","v":19.393939393939384}]
[null,null,3.4000000000000017,4.705882352941174,3.4000000000000017,7.3529411764705843,3.4000000000000017,10.588235294117641,null,3.4000000000000017,14.411764705882346,3.4000000000000017,18.823529411764696]
[null,null,3.5000000000000018,4.5714285714285694,3.5000000000000018,7.1428571428571388,3.5000000000000018,10.285714285714281,null,3.5000000000000018,13.999999999999993,3.5000000000000018,18.285714285714278]
[null,null,3.6000000000000019,4.444444444444442,3.6000000000000019,6.9444444444444411,3.6000000000000019,9.9999999999999947,null,3.6000000000000019,13.611111111111104,3.6000000000000019,17.777777777777768]
[null,null,3.700000000000002,4.3243243243243219,3.700000000000002,6.7567567567567535,3.700000000000002,9.7297297297297245,null,3.700000000000002,13.243243243243237,3.700000000000002,17.297297297297288]
[null,null,3.800000000000002,4.2105263157894717,3.800000000000002,6.5789473684210487,3.800000000000002,9.4736842105263115,null,3.800000000000002,12.894736842105257,3.800000000000002,16.842105263157887]
[null,null,3.9000000000000021,4.1025641025641004,3.9000000000000021,6.410256410256407,3.9000000000000021,9.2307692307692264,null,3.9000000000000021,12.564102564102557,3.9000000000000021,16.410256410256402]
[null,null,4.0000000000000018,3.9999999999999982,4.0000000000000018,6.2499999999999973,4.0000000000000018,8.9999999999999964,null,4.0000000000000018,12.249999999999995,4.0000000000000018,15.999999999999993]
[null,null,4.1000000000000014,3.9024390243902425,4.1000000000000014,6.0975609756097544,4.1000000000000014,8.7804878048780459,null,4.1000000000000014,11.951219512195118,4.1000000000000014,15.60975609756097]
[null,null,4.2000000000000011,3.8095238095238084,4.2000000000000011,5.9523809523809508,4.2000000000000011,8.5714285714285694,null,4.2000000000000011,11.666666666666664,4.2000000000000011,15.238095238095234]
[null,null,4.3000000000000007,3.720930232558139,4.3000000000000007,5.8139534883720918,4.3000000000000007,8.3720930232558128,null,4.3000000000000007,11.395348837209301,4.3000000000000007,14.883720930232556]
[null,null,4.4000000000000004,3.6363636363636362,4.4000000000000004,5.6818181818181817,4.4000000000000004,8.1818181818181817,null,4.4000000000000004,11.136363636363635,4.4000000000000004,14.545454545454545]
[null,null,4.5,3.5555555555555554,4.5,5.5555555555555554,4.5,8,null,4.5,10.888888888888889,4.5,14.222222222222221]
[null,null,4.5999999999999996,3.4782608695652177,4.5999999999999996,5.4347826086956523,4.5999999999999996,7.8260869565217401,null,4.5999999999999996,10.652173913043478,4.5999999999999996,13.913043478260871]
[null,null,4.6999999999999993,3.4042553191489366,4.6999999999999993,5.3191489361702136,4.6999999999999993,7.6595744680851077,null,4.6999999999999993,10.425531914893618,4.6999999999999993,13.617021276595747]
[null,null,4.7999999999999989,3.3333333333333339,4.7999999999999989,5.2083333333333348,4.7999999999999989,7.5000000000000018,null,4.7999999999999989,10.208333333333336,4.7999999999999989,13.333333333333336]
[null,null,5,3.2,5,5,5,7.2,null,5,9.8000000000000007,5,12.8]
[null,null,5.75,2.7826086956521738,5.75,4.3478260869565215,5.75,6.2608695652173916,null,5.75,8.5217391304347831,5.75,11.130434782608695]
[null,null,6.5,2.4615384615384617,6.5,3.8461538461538463,6.5,5.5384615384615383,null,6.5,7.5384615384615383,6.5,9.8461538461538467]
[null,null,7.25,2.2068965517241379,7.25,3.4482758620689653,7.25,4.9655172413793105,null,7.25,6.7586206896551726,7.25,8.8275862068965516]
[null,null,8.5,1.8823529411764706,8.5,2.9411764705882355,8.5,4.2352941176470589,null,8.5,5.7647058823529411,8.5,7.5294117647058822]
[null,null,9,1.7777777777777777,9,2.7777777777777777,9,4,null,9,5.4444444444444446,9,7.1111111111111107]
[null,null,9.5,1.6842105263157894,9.5,2.6315789473684212,9.5,3.7894736842105261,null,9.5,5.1578947368421053,9.5,6.7368421052631575]
[null,null,10,1.6,10,2.5,10,3.6,null,10,4.9000000000000004,10,6.4]
[null,null,10.5,1.5238095238095237,10.5,2.3809523809523809,10.5,3.4285714285714284,null,10.5,4.666666666666667,10.5,6.0952380952380949]
[null,null,11,1.4545454545454546,11,2.2727272727272729,11,3.2727272727272729,null,11,4.4545454545454541,11,5.8181818181818183]
[null,null,11.5,1.3913043478260869,11.5,2.1739130434782608,11.5,3.1304347826086958,null,11.5,4.2608695652173916,11.5,5.5652173913043477]
[null,null,12,1.3333333333333333,12,2.0833333333333335,12,3,null,12,4.083333333333333,12,5.333333333333333]
[null,null,12.5,1.28,12.5,2,12.5,2.88,null,12.5,3.92,12.5,5.12]
[null,null,13,1.2307692307692308,13,1.9230769230769231,13,2.7692307692307692,null,13,3.7692307692307692,13,4.9230769230769234]
[null,null,13.5,1.1851851851851851,13.5,1.8518518518518519,13.5,2.6666666666666665,null,13.5,3.6296296296296298,13.5,4.7407407407407405]
[null,null,14,1.1428571428571428,14,1.7857142857142858,14,2.5714285714285716,null,14,3.5,14,4.5714285714285712]
[null,null,14.5,{"$f":"D$48/C113","v":1.103448275862069},{"$f":"C113","v":14.5},{"$f":"F$48/E113","v":1.7241379310344827},{"$f":"C113","v":14.5},{"$f":"H$48/G113","v":2.4827586206896552},null,{"$f":"C113","v":14.5},{"$f":"K$48/J113","v":3.3793103448275863},{"$f":"C113","v":14.5},{"$f":"M$48/L113","v":4.4137931034482758}]
[null,null,15,1.0666666666666667,15,1.6666666666666667,15,2.4,null,15,3.2666666666666666,15,4.2666666666666666]
[null,null,15.5,1.032258064516129,15.5,1.6129032258064515,15.5,2.3225806451612905,null,15.5,3.161290322580645,15.5,4.129032258064516]
[null,null,16,1,16,1.5625,16,2.25,null,16,3.0625,16,4]
[null,null,16.5,0.96969696969696972,16.5,1.5151515151515151,16.5,2.1818181818181817,null,16.5,2.9696969696969697,16.5,3.8787878787878789]
[null,null,17,0.94117647058823528,17,1.4705882352941178,17,2.1176470588235294,null,17,2.8823529411764706,17,3.7647058823529411]
[null,null,17.5,0.91428571428571426,17.5,1.4285714285714286,17.5,2.0571428571428569,null,17.5,2.8,17.5,3.657142857142857]
[null,null,18,0.88888888888888884,18,1.3888888888888888,18,2,null,18,2.7222222222222223,18,3.5555555555555554]
[null,null,18.5,0.86486486486486491,18.5,1.3513513513513513,18.5,1.9459459459459461,null,18.5,2.6486486486486487,18.5,3.4594594594594597]
[null,null,19,0.84210526315789469,19,1.3157894736842106,19,1.8947368421052631,null,19,2.5789473684210527,19,3.3684210526315788]
[null,null,19.5,0.82051282051282048,19.5,1.2820512820512822,19.5,1.8461538461538463,null,19.5,2.5128205128205128,19.5,3.2820512820512819]
[null,null,20,0.8,20,1.25,20,1.8,null,20,2.4500000000000002,20,3.2]