9. Alice's utility function is U(x, y) =xy. Steve's utility function is U(x, y) = xy + 2r. Alice and Steve have the same preferences since Steve's utility function is a monotonic transformation of Alice's. ANS: FALSE

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.2P
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Please explain each of them

9. Alice's utility function is U(x, y) = xy. Steve's utility function is U(x, y) = xy + 2x. Alice and Steve
have the same preferences since Steve's utility function is a monotonic transformation of Alice's.
ANS: FALSE
10. Jeans utility function is U(x, y) =x+y 2 -y. If we draw her indifference curves with x on the
horizontal axis and y on the vertical axis, then these indifference curves are everywhere downward
sloping and get flatter as one moves from left to right.
ANS: FALSE
11. The utility function U(x1, x2) = 2lnx, + 3lnr, represents Cobb-Douglas preferences.
ANS: TRUE
Transcribed Image Text:9. Alice's utility function is U(x, y) = xy. Steve's utility function is U(x, y) = xy + 2x. Alice and Steve have the same preferences since Steve's utility function is a monotonic transformation of Alice's. ANS: FALSE 10. Jeans utility function is U(x, y) =x+y 2 -y. If we draw her indifference curves with x on the horizontal axis and y on the vertical axis, then these indifference curves are everywhere downward sloping and get flatter as one moves from left to right. ANS: FALSE 11. The utility function U(x1, x2) = 2lnx, + 3lnr, represents Cobb-Douglas preferences. ANS: TRUE
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