Matt gets utility from commodities x₁ and x2 and his preferences can be represented by the utility function, U(x₁, x₂)=10(x₁)(x₂). Matt minimizes his expenditures subject to achieving utility level Uo. Matt's compensated demand function for X₁, X₁ (P₁, P2, Uo), is O (Uo/10)¹/2(p2/P1)2/3 O 1/(2p1) (1000)¹/2(p2/P1)¹/2 O (Uo/10)¹/3 (p1/p2)¹/3

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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Matt gets utility from commodities X₁ and x2 and his preferences can be represented by
the utility function, U(x₁, x₂)=10(x₁)(x₂). Matt minimizes his expenditures subject to
achieving utility level Uo. Matt's compensated demand function for X₁, X₁ (P₁, P2, Uo), is
O (Uo/10)1/2(p2/P1) 2/3
1/(2p1)
O (10U0)¹/2(p2/P1)1/2
(Uo/10)¹/3 (p1/p2)1/3
O ((Uo/10)1/2(p2/P₁)1/2
O (10)(Uo)2/3(P₂/P1)2/3
Transcribed Image Text:Matt gets utility from commodities X₁ and x2 and his preferences can be represented by the utility function, U(x₁, x₂)=10(x₁)(x₂). Matt minimizes his expenditures subject to achieving utility level Uo. Matt's compensated demand function for X₁, X₁ (P₁, P2, Uo), is O (Uo/10)1/2(p2/P1) 2/3 1/(2p1) O (10U0)¹/2(p2/P1)1/2 (Uo/10)¹/3 (p1/p2)1/3 O ((Uo/10)1/2(p2/P₁)1/2 O (10)(Uo)2/3(P₂/P1)2/3
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