Consider the following utility function: U(x, y) = = xy x-y (a) Derive the MRS of x to y. Show your work. (b) Is this function quasi-concave? [Hint. You need to check the conditions for quasi-concavity].

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.3P
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Consider the following utility function:
ху
υ(x, y)
х —у
(a) Derive the MRS of x to y. Show your work.
(b) Is this function quasi-concave? [Hint. You need to check the conditions for quasi-concavity].
Transcribed Image Text:Consider the following utility function: ху υ(x, y) х —у (a) Derive the MRS of x to y. Show your work. (b) Is this function quasi-concave? [Hint. You need to check the conditions for quasi-concavity].
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