Question 1: 1-6 B to Ibar (U)=5x,x2 A. Consider Toni's expenditure minimization problem: min Ex,x)=Px, +P22 subject Write down the first order conditions for her constrained optimization problem and C C solve for the Hicksian demand functions, x, (P,.P2. (Ibar (U))) and x2 (P₁.P₂, (Ibar (U))) B. All Hicksian demand functions are scale invariant in prices. Provide the intuition for this property (you can use both words and graphs). Prove that this property holds for the compensated demand function, x, (P₁.P2, (bar (U))), that you found in part A. Question 1: ( Consider Toni's expenditure minimization problem: A. B. min E(x1,x2) P1x1 + P2x2 Xx1,x2 subject to U=5x-x Write down the first order conditions for her constrained optimization problem and solve for the Hicksian demand functions, x(p₁.P2, U)and x(P1, P2,Ū) All Hicksian demand functions are scale invariant in prices. Provide the intuition for this property (you can use both words and graphs). Prove that this property holds for the compensated demand function, xf (P1, P2, U), that you found in part A.

Microeconomic Theory
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Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.13P
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Question 1:
1-6 B
to Ibar (U)=5x,x2
A.
Consider Toni's expenditure minimization problem: min
Ex,x)=Px, +P22 subject
Write down the first order conditions for her constrained optimization problem and
C
C
solve for the Hicksian demand functions, x, (P,.P2. (Ibar (U))) and x2 (P₁.P₂, (Ibar (U))) B.
All Hicksian
demand functions are scale invariant in prices. Provide the intuition for this property (you can use both words and
graphs). Prove that this property holds for the compensated demand function, x, (P₁.P2, (bar (U))), that you found in
part A.
Question 1: (
Consider Toni's expenditure minimization problem:
A.
B.
min E(x1,x2) P1x1 + P2x2
Xx1,x2
subject to U=5x-x
Write down the first order conditions for her constrained optimization problem and solve
for the Hicksian demand functions, x(p₁.P2, U)and x(P1, P2,Ū)
All Hicksian demand functions are scale invariant in prices. Provide the intuition for this
property (you can use both words and graphs). Prove that this property holds for the compensated
demand function, xf (P1, P2, U), that you found in part A.
Transcribed Image Text:Question 1: 1-6 B to Ibar (U)=5x,x2 A. Consider Toni's expenditure minimization problem: min Ex,x)=Px, +P22 subject Write down the first order conditions for her constrained optimization problem and C C solve for the Hicksian demand functions, x, (P,.P2. (Ibar (U))) and x2 (P₁.P₂, (Ibar (U))) B. All Hicksian demand functions are scale invariant in prices. Provide the intuition for this property (you can use both words and graphs). Prove that this property holds for the compensated demand function, x, (P₁.P2, (bar (U))), that you found in part A. Question 1: ( Consider Toni's expenditure minimization problem: A. B. min E(x1,x2) P1x1 + P2x2 Xx1,x2 subject to U=5x-x Write down the first order conditions for her constrained optimization problem and solve for the Hicksian demand functions, x(p₁.P2, U)and x(P1, P2,Ū) All Hicksian demand functions are scale invariant in prices. Provide the intuition for this property (you can use both words and graphs). Prove that this property holds for the compensated demand function, xf (P1, P2, U), that you found in part A.
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