Reese thinks peanut butter and chocolate are great when separate, but when they combine they are even more epic. In other words, Reese likes to eat either peanut butter or chocolate, but when he eats them together, he gets additional satisfaction from the combination. His preference over peanut butter (x) and chocolate (y) is represented by the utility function: u(x, y) = xy + x + y   Which of the following is NOT true about Reese’s preference?  (a) The MRS decreases when x increases. (b) The preferences are homothetic. (c) The marginal utility of y is higher when x = 10 than when x = 5. (d) For any a > 0, Reese prefers the bundle (x =a/2 , y = a/2 ) over either the bundle (x = a, y = 0) or (x = 0, y = a).

Economics For Today
10th Edition
ISBN:9781337613040
Author:Tucker
Publisher:Tucker
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 23SQ
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Reese thinks peanut butter and chocolate are great when separate, but when they combine they are even more epic. In other words, Reese likes to eat either peanut butter or chocolate, but when he eats them together, he gets additional satisfaction from the combination. His preference over peanut butter (x) and chocolate (y) is represented by the utility function:

u(x, y) = xy + x + y

 

Which of the following is NOT true about Reese’s preference? 
(a) The MRS decreases when x increases.
(b) The preferences are homothetic.
(c) The marginal utility of y is higher when x = 10 than when x = 5.
(d) For any a > 0, Reese prefers the bundle (x =a/2 , y = a/2 ) over either the bundle (x = a, y = 0) or (x = 0, y = a).

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