The consumer's utility function is the following: U=x + 10x0,6 1 The consumer's optimal values of x and x are the given by the following: x 1 2 P 6P 2 +9 P P P 1 1 The compensated demand equations for x and x are the following: x₁=U-10 1 2 6P 0.6 P 2 1 2 1-0.6 1-0.6 x2c Assume the prices are the following: P₁=1, P₂=1, I=10000, and the P₁ that makes x=0 is P₁=16.732. 1 What is the consumer surplus? = - = 6P 1 P 2 6P 1 P 2 1-0.6 1-0.6

Economics (MindTap Course List)
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ISBN:9781337617383
Author:Roger A. Arnold
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Chapter3: Supply And Demand: Theory
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Problem 22QP
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The consumer's utility function is the following: U=x + 10x0.6
2
The consumer's optimal values of x and x are the given by the following: x
1
I
P
1
The compensated demand equations for x, and x are the following: x = U-10
1
2
le
6P
P
P
P
1
2
6P
P
1
2
0.6
1-0.6
1
1-0.6
x2c
2
1h
Assume the prices are the following: P =1, P =1, I=10000, and the P, that makes x =0 is P =16.732.
What is the consumer surplus?
6P
P
=
1
2
6P
P
2
1-0.6
1-0.6
Transcribed Image Text:The consumer's utility function is the following: U=x + 10x0.6 2 The consumer's optimal values of x and x are the given by the following: x 1 I P 1 The compensated demand equations for x, and x are the following: x = U-10 1 2 le 6P P P P 1 2 6P P 1 2 0.6 1-0.6 1 1-0.6 x2c 2 1h Assume the prices are the following: P =1, P =1, I=10000, and the P, that makes x =0 is P =16.732. What is the consumer surplus? 6P P = 1 2 6P P 2 1-0.6 1-0.6
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