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["Excel Spreadsheet for Chapter 9:  Equation 5.11"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Row Input Share"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Adding Up",null,null,"Weighted Elasticities"]
[null,null,null,null,null,null,null,null,null,"Input Shares",null,null,null,null,"Homogeneity Values",null,null,"Of Substitution "]
["Elasticities",null,null,null,"Symbol","Value",null,null,null,"Input","Symbol","Value",null,null,null,"Input 1","Input 2","Must Sum to 0"]
["Own-Price Demand Elasticity",null,null,null,"ηD",{"$f":"B95","v":-0.6},"← enter",null,null,"Input 1","K1",0.3,"← enter",null,"Input 1",{"$f":"L6*F11","v":-0.70000000000000007},{"$f":"L7*F9","v":0.7},{"$f":"P6+Q6","v":0}]
["Own-Price Supply Elasticity Input 1",null,null,null,"ε1",{"$f":"C95","v":0.2},"← enter",null,null,"Input 2","K2",0.7,"← enter",null,"Input 2",{"$f":"L6*F10","v":0.3},{"$f":"L7*F12","v":-0.3},{"$f":"P7+Q7","v":0}]
["Own-Price Supply Elasticity Input 2",null,null,null,"ε2",{"$f":"D95","v":1},"← enter",null,null,"Shares must sum to 1",null,{"$f":"L6+L7","v":1}]
["Allen Elasticity of Substitution Input 1,2",null,null,null,"σ12",{"$f":"E95","v":1},"← enter"]
["Allen Elasticity of Substitution Input 2,1",null,null,null,"σ21",{"$f":"F9","v":1}]
["Allen Elasticity of Substitution Input 1,1",null,null,null,"σ11",{"$f":"-(L7*F9)/L6","v":-2.3333333333333335}]
["Allen Elasticity of Substitution Input 2,2",null,null,null,"σ22",{"$f":"-(L6*F10)/L7","v":-0.4285714285714286}]
[]
[null,null,"Parameterized A Matrix"]
[null,null,"Endogenous Variables",null,null,null,null,null,null,null,"Exogenous Shocks",null,null,null,"Change in Endogenous Variables"]
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[null,5.3,0,0,1,0,0,{"$f":"-L6","v":-0.3},{"$f":"-L7","v":-0.7},null,"E(θ2)",0,null,null,"E(pD)",5.2631578947368432E-2,{"$f":"P18","v":5.2631578947368432E-2},"Output Demand Price"]
[null,5.4,-1,0,0,1,0,{"$f":"-P6","v":0.70000000000000007},{"$f":"-Q6","v":-0.7},null,"E(θ3)",0,null,null,"E(pS)",-4.7368421052631574E-2,-4.7368421052631574E-2,"Output Supply Price"]
[null,5.5,-1,0,0,0,1,{"$f":"-P7","v":-0.3},{"$f":"-Q7","v":0.3},null,"E(θ4)",0,null,null,"E(x1)",-1.3157894736842105E-2,-1.3157894736842105E-2,"Input 1 Quantity"]
[null,5.6,0,0,0,1,0,{"$f":"-F7","v":-0.2},0,null,"E(θ5)",0,"← enter",null,"E(x2)",-3.9473684210526321E-2,-3.9473684210526321E-2,"Input 2 Quantity"]
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["Eq. Eqtn.",5.8,0,1,-1,0,0,0,0,null,"E(θ7)",0.1,"← enter",null,"E(w2)",-3.9473684210526321E-2,-3.9473684210526321E-2,"Input 2 Proce"]
[]
[null,null," A Inverse Matrix"]
[]
[null,"Equation","E(q)","E(pD)","E(pS)","E(x1)","E(x2)","E(w1)","E(w2)"]
["Behavioral Equations",5.2,{"$f":"MINVERSE(C17:I23)","v":0.52631578947368429},-0.31578947368421056,-0.19736842105263155,-0.27631578947368418,0.19736842105263155,0.27631578947368418,-0.31578947368421056]
[null,5.3,0.78947368421052633,0.52631578947368429,0.3289473684210526,0.46052631578947362,-0.3289473684210526,-0.46052631578947362,0.52631578947368429]
[null,5.4,0.78947368421052633,0.52631578947368429,0.3289473684210526,0.46052631578947362,-0.3289473684210526,-0.46052631578947362,-0.47368421052631571]
[null,5.5,0.21929824561403508,-0.13157894736842105,0.18859649122807018,3.0701754385964904E-2,0.81140350877192979,-3.0701754385964904E-2,-0.13157894736842105]
[null,5.6,0.6578947368421052,-0.39473684210526316,6.5789473684210523E-2,0.59210526315789469,-6.5789473684210523E-2,0.4078947368421052,-0.39473684210526316]
[null,5.7,1.0964912280701753,-0.6578947368421052,0.94298245614035081,0.15350877192982451,-0.94298245614035081,-0.15350877192982451,-0.6578947368421052]
["Eq. Eqtn.",5.8,0.65789473684210531,-0.39473684210526316,6.5789473684210523E-2,0.59210526315789469,-6.5789473684210523E-2,-0.59210526315789469,-0.39473684210526316]
[]
[]
[]
[]
["Surplus, Tax, and Deadweight Loss Calculations",null,null,null,null,null,null,null,null,null,"Surplus, Tax, and Deadweight Loss Calculations Applied to the Beef Market"]
[]
[null,null,"Price","Quantity","Size",null,null,null,null,null,null,null,"Price","Quantity","Size"]
["Industry Size:",null,1,1000,{"$f":"C42*D42","v":1000},null,null,null,null,null,"Industry Size:",null,5,60,{"$f":"M42*N42","v":300}]
[]
[]
[null,null,null,null,"Equation","Calculation","Size",null,null,null,null,null,null,null,"Equation","Calculation","Size"]
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[]
["Change in Producer Surplus (Output Market):",null,null,null,7.26,{"$f":"P19*(1+(0.5*P17))","v":-4.6620498614958442E-2},{"$f":"F48*$E$42","v":-46.620498614958443},null,null,null,"New Producer Price",null,null,null,null,{"$f":"M42*(1+P19)","v":4.7631578947368416}]
[]
["Change in Producer Surplus Input 1",null,null,null,7.27,{"$f":"L6*P22*(1+(0.5*P20))","v":-1.9606994459833795E-2},{"$f":"F50*$E$42","v":-19.606994459833796},null,null,null,"New Output",null,null,null,null,{"$f":"N42+(P17*N42)","v":58.10526315789474},{"$f":"P17*N42","v":-1.8947368421052637}]
[]
["Change in Producer Surplus Input 2",null,null,null,7.28,{"$f":"L7*P23*(1+(0.5*P21))","v":-2.7086218836565101E-2},{"$f":"F52*$E$42","v":-27.086218836565102},null,null,null,"Change in Consumer Surplus:",null,null,null,7.45,{"$f":"P18*(1+(0.5*P17))","v":5.1800554016620509E-2},{"$f":"P52*$O$42","v":15.540166204986154}]
[]
["Difference Between Producer Surplus (rounded)",null,null,null,null,{"$f":"F48-(F50+F52)+0.00001","v":8.2714681440454175E-5},{"$f":"F54*$E$42","v":8.2714681440454171E-2},null,null,null,"Change in Producer Surplus (Output Market):",null,null,null,7.46,{"$f":"-P19*(1+(0.5*P17))","v":4.6620498614958442E-2},{"$f":"P54*$O$42","v":13.986149584487533}]
[]
["Consumer Share of Tax:",null,null,null,7.3,{"$f":"P18*(1+P17)","v":5.0969529085872586E-2},{"$f":"F56*$E$42","v":50.969529085872587},null,null,null,"Consumer Share of Tax:",null,null,null,7.47,{"$f":"P18*(1+P17)","v":5.0969529085872586E-2},{"$f":"P56*$O$42","v":15.290858725761776}]
[]
["Producer Share of Tax:",null,null,null,7.31,{"$f":"-P19*(1+P17)","v":4.5872576177285317E-2},{"$f":"F58*$E$42","v":45.872576177285318},null,null,null,"Producer Share of Tax:",null,null,null,7.48,{"$f":"-P19*(1+P17)","v":4.5872576177285317E-2},{"$f":"P58*$O$42","v":13.761772853185596}]
[]
["Total Tax Receipts",null,null,null,7.32,{"$f":"F56+F58","v":9.6842105263157896E-2},{"$f":"F60*$E$42","v":96.84210526315789},null,null,null,"Total Tax Receipts",null,null,null,null,{"$f":"P56+P58","v":9.6842105263157896E-2},{"$f":"P60*$O$42","v":29.05263157894737}]
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["Producer Input 1 Share of Tax:",null,null,null,7.33,{"$f":"-L6*P22*(1+P20)","v":1.947714681440443E-2},{"$f":"F62*$E$42","v":19.477146814404431},null,null,null,"Consumer Deadweight Loss:",null,null,null,7.49,{"$f":"-0.5*P18*P17","v":8.3102493074792283E-4},{"$f":"P62*$O$42","v":0.24930747922437685}]
[]
["Producer Input 2 Share of Tax:",null,null,null,7.34,{"$f":"-L7*P23*(1+P21)","v":2.6540858725761774E-2},{"$f":"F64*$E$42","v":26.540858725761773},null,null,null,"Producer Deadweight Loss:",null,null,null,7.5,{"$f":"0.5*P19*P17","v":7.4792243767313031E-4},{"$f":"P64*$O$42","v":0.22437673130193908}]
[]
["Difference Between Two Approaches: ",null,null,null,null,{"$f":"(F62+F64)-F58","v":1.4542936288088754E-4},{"$f":"F66*$E$42","v":0.14542936288088754},null,null,null,"Total Deadweight Loss:",null,null,null,null,{"$f":"P62+P64","v":1.578947368421053E-3},{"$f":"P66*$O$42","v":0.47368421052631593}]
[]
["Quadratic Form Calculation of Difference:",null,null,null,7.35,{"$f":"-(MMULT((MMULT(B70:C70,B73:C74)),(TRANSPOSE(B70:C70))))","v":1.454293628808864E-4},{"$f":"F68*$E$42","v":0.1454293628808864}]
[]
["KEW'",{"$f":"L6*P22","v":-1.9736842105263157E-2},{"$f":"L7*P23","v":-2.7631578947368424E-2}]
[]
["Elasticities of Substitution"]
[null,{"$f":"F11","v":-2.3333333333333335},{"$f":"F9","v":1}]
[null,{"$f":"F10","v":1},{"$f":"F12","v":-0.4285714285714286}]
[]
[]
["Consumer Deadweight Loss:",null,null,null,7.37,{"$f":"-0.5*P18*P17","v":8.3102493074792283E-4},{"$f":"F77*$E$42","v":0.83102493074792283}]
[]
["Producer Deadweight Loss:",null,null,null,7.38,{"$f":"0.5*P19*P17","v":7.4792243767313031E-4},{"$f":"F79*$E$42","v":0.74792243767313027}]
[]
["Producer Deadweight Loss at Input Level"]
["Change in Producer Deadweight Loss Input 1",null,null,null,7.41,{"$f":"0.5*L6*P22*P20","v":1.2984764542936286E-4},{"$f":"F82*$E$42","v":0.12984764542936286}]
["Change in Producer Deadweight Loss Input 2",null,null,null,7.43,{"$f":"0.5*L7*P23*P21","v":5.4536011080332425E-4},{"$f":"F83*$E$42","v":0.54536011080332425}]
["   Total Change in Producer Surplus",null,null,null,null,{"$f":"SUM(F82:F83)","v":6.7520775623268708E-4},{"$f":"SUM(G82:G83)","v":0.67520775623268714}]
[]
["Difference Between Two Approaches: ",null,null,null,null,{"$f":"F84-F79","v":-7.2714681440443226E-5},{"$f":"F86*$E$42","v":-7.2714681440443227E-2},null,null,null,null,null,null,"SUMMARY STATISTICS AND CONFIDENCE INTERVALS"]
[]
["Quadratic Form Calculation of Difference:",null,null,null,7.44,{"$f":"0.5*(MMULT((MMULT(B70:C70,B73:C74)),(TRANSPOSE(B70:C70))))","v":-7.2714681440443199E-5},{"$f":"F88*$E$42","v":-7.2714681440443199E-2},null,null,"E(q)","E(pD)","E(pS)","E(x1)","E(x2)","E(w1)","E(w2)","CS","PS","PS1","PS2"]
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