QUESTION 12 The consumer's utility function is the following: U=x+4x09 P I 3.6P 3.6P 1 1 The consumer's optimal values of x and x are the given by the following: x = 2 x, x2 1 1 1-0.9 1-0.9 x= P P 1 P P 2 2 3.6P 0.9 3.6P 1 1 The compensated demand equations for x, and x are the following: x = U-4 1-0.9 1-0.9 = 1 2 lc P 20 P 2 2 Assume the prices are the following: P =4, P =6, I=100000, and the P, that makes x =0 is P =4.422. 1 2 1 1h What is the consumer surplus?

Exploring Economics
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Chapter10: Consumer Choice Theory
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QUESTION 12
The consumer's utility function is the following: U=x+4x09
1
2
X =
The consumer's optimal values of x and x2 are the given by the following: x1
I
P
3.6P
1
3.6P
1
2
1
1-0.9
1
1-0.9
P
1
P
P
P
2
2
3.6P
0.9
3.6P
1
1
1
The compensated demand equations for x, and x, are the following: x = U-4
1-0.9
1-0.9
=
1
2
lc
P
2c
P
2
2
Assume the prices are the following: P=4, P=6, I=100000, and the P, that makes x =0 is P=4.422.
1
2
1
1
What is the consumer surplus?
Transcribed Image Text:QUESTION 12 The consumer's utility function is the following: U=x+4x09 1 2 X = The consumer's optimal values of x and x2 are the given by the following: x1 I P 3.6P 1 3.6P 1 2 1 1-0.9 1 1-0.9 P 1 P P P 2 2 3.6P 0.9 3.6P 1 1 1 The compensated demand equations for x, and x, are the following: x = U-4 1-0.9 1-0.9 = 1 2 lc P 2c P 2 2 Assume the prices are the following: P=4, P=6, I=100000, and the P, that makes x =0 is P=4.422. 1 2 1 1 What is the consumer surplus?
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