Alonso has preferences for sport cars (C) and paella (P) given by the utility function U(C, P) = 4CP. The prices for C and P are, respectively, pc and pp. In what follows, do not worry if the results are not integers.

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Chapter1: Making Economics Decisions
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Alonso has preferences for sport cars (C) and paella (P) given by the utility function
U(C, P) = 4CP. The prices for C and P are, respectively, pc and pp. In what
follows, do not worry if the results are not integers.
Transcribed Image Text:Alonso has preferences for sport cars (C) and paella (P) given by the utility function U(C, P) = 4CP. The prices for C and P are, respectively, pc and pp. In what follows, do not worry if the results are not integers.
Find Alonso's Hicksian Demands and Expenditure function
hc (Per Pp₁ U) = (
hc (Pc, Pp, U) =
hc (Pc, Pp, Ū) =
hc (Pc, Pp, U) =
1/2
Ope) ¹/², hp(pe, Pp, U) =
4pp
ÚPP
4pc
Upp
2pc
Upp
4pc
1/2
1/2
1/4
Upp
4pc
hp (Pe, Pp, U) = (Upe)
9
2
Pc
hp(Pc Pp,U) = (Upe
2pp
hp (Per, Pp, U) = (Upc)
2
4pp
1/2
1/2
1/2
1/4
1/2
and E(pe, Pp, U) = (0) ¹/²
U
and E(pc, Pp,Ū) = (Ūpcpp)¹/²
and E(pe, Pp, Ū) = (2Ūpcpp)
and E(pe, Pp, Ü) = (Upcpp)¹/4
Transcribed Image Text:Find Alonso's Hicksian Demands and Expenditure function hc (Per Pp₁ U) = ( hc (Pc, Pp, U) = hc (Pc, Pp, Ū) = hc (Pc, Pp, U) = 1/2 Ope) ¹/², hp(pe, Pp, U) = 4pp ÚPP 4pc Upp 2pc Upp 4pc 1/2 1/2 1/4 Upp 4pc hp (Pe, Pp, U) = (Upe) 9 2 Pc hp(Pc Pp,U) = (Upe 2pp hp (Per, Pp, U) = (Upc) 2 4pp 1/2 1/2 1/2 1/4 1/2 and E(pe, Pp, U) = (0) ¹/² U and E(pc, Pp,Ū) = (Ūpcpp)¹/² and E(pe, Pp, Ū) = (2Ūpcpp) and E(pe, Pp, Ü) = (Upcpp)¹/4
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