3. Consider the utility function u(x, y) = - (v41) (a) Find the equation for the marginal utility for x and one for marginal utility of y. (b) Find an equation of the form y = f(x) that describes the indifference curve for utility equal to -1/2. (c) Argue that the utility values all lie inſthe interval[-1,0] (d) Does the utility function v(x, y) = x + 2y represent the same preferences as и(х, у)? (e) Does the utility function w(x, y) = x + y represent the same preferences as

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
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Problem 3.13P
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Please help me to solve the question (d) (e) below.

1
3. Consider the utility function u(x, y) = - (z41)
x+2y+1/
(**)-
(a) Find the equation for the marginal utility for x and one for marginal utility of y.
(b) Find an equation of the form y = f (x) that describes the indifference curve for
utility equal to -1/2.
(c) Argue that the utility values all lie in the interval [-1,0]
(d) Does the utility function v(x, y) = x + 2y represent the same preferences as
и(х, у)?
(e) Does the utility function w(x, y) = x + y represent the same preferences as
и(х, у)?
Transcribed Image Text:1 3. Consider the utility function u(x, y) = - (z41) x+2y+1/ (**)- (a) Find the equation for the marginal utility for x and one for marginal utility of y. (b) Find an equation of the form y = f (x) that describes the indifference curve for utility equal to -1/2. (c) Argue that the utility values all lie in the interval [-1,0] (d) Does the utility function v(x, y) = x + 2y represent the same preferences as и(х, у)? (e) Does the utility function w(x, y) = x + y represent the same preferences as и(х, у)?
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