22. If the cost of buying 10 units of good 1 is less than 1/2w, a consumer buys 10 units of good 1 and spends her remaining wealth on good 2. Otherwise she spends half of her wealth on each good. The utility function is

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter6: Consumer Choice And Demand
Section: Chapter Questions
Problem 2.5P
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22. If the cost of buying 10 units of good 1 is less than 1/2w, a consumer buys 10
units of good 1 and spends her remaining wealth on good 2. Otherwise she spends
half of her wealth on each good. The utility function is
(x1x2 if x₁ ≤ 10
(10x2 if x₁ >10
A. u(x₁, x₂) =
B. u(x₁, x₂)
C. u(x₁, x₂) =
(10x2
(10x2 if x₁ ≤ 10
(x₁x₂ if x₁ > 10
(x1x₂ if x₁ <10
(10x2 if x₁ ≥10
D. u(x₁, x2) = (10x2 if x₁ <10
x₁ ≥ 10
Transcribed Image Text:22. If the cost of buying 10 units of good 1 is less than 1/2w, a consumer buys 10 units of good 1 and spends her remaining wealth on good 2. Otherwise she spends half of her wealth on each good. The utility function is (x1x2 if x₁ ≤ 10 (10x2 if x₁ >10 A. u(x₁, x₂) = B. u(x₁, x₂) C. u(x₁, x₂) = (10x2 (10x2 if x₁ ≤ 10 (x₁x₂ if x₁ > 10 (x1x₂ if x₁ <10 (10x2 if x₁ ≥10 D. u(x₁, x2) = (10x2 if x₁ <10 x₁ ≥ 10
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