6. Show that your utility function is a CES utility function.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section6.A: Indifference Curve Analysis
Problem 8SQ
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6. Show that your utility function is a CES utility function.
7. Another consumer, Bing Bing, also consumes the same two goods and has a utility function given
by V(x₁, x₂) = 2ln(x0.5 + x2.5).
a. How does Bin Bing's marginal rate of substitution between goods 1 and 2 compare with
yours?
b. Using the relevant conditions related to consumer preferences, show that Bing Bing and
you have identical preferences.
Transcribed Image Text:6. Show that your utility function is a CES utility function. 7. Another consumer, Bing Bing, also consumes the same two goods and has a utility function given by V(x₁, x₂) = 2ln(x0.5 + x2.5). a. How does Bin Bing's marginal rate of substitution between goods 1 and 2 compare with yours? b. Using the relevant conditions related to consumer preferences, show that Bing Bing and you have identical preferences.
I. You only consume two goods and your preferences are represented by utility function
U(x₁, x₂) = (x0.5 + x2.5)² for x₁ > 2 and x₂ > 0.
1
Transcribed Image Text:I. You only consume two goods and your preferences are represented by utility function U(x₁, x₂) = (x0.5 + x2.5)² for x₁ > 2 and x₂ > 0. 1
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