U(x, y) = xayb A consumer maximises utility subject to a budget constraint M = Pxx+Pyy Where px is the price of good x, py is the price of good y and M is the budget available. a. Derive an expression for the marginal utility of x. Under what condition is the marginal utility diminishing. b. Derive an expression for the marginal utility of y. Under what condition is the marginal utility diminishing.

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter6: Consumer Choice And Demand
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U(x, y) = xayb
A consumer maximises utility subject to a budget constraint
M = Pxx+Pyy
Where px is the price of good x, py is the price of good y and M is the budget available.
a. Derive an expression for the marginal utility of x. Under what condition is the marginal utility
diminishing.
b. Derive an expression for the marginal utility of y. Under what condition is the marginal utility
diminishing.
Transcribed Image Text:U(x, y) = xayb A consumer maximises utility subject to a budget constraint M = Pxx+Pyy Where px is the price of good x, py is the price of good y and M is the budget available. a. Derive an expression for the marginal utility of x. Under what condition is the marginal utility diminishing. b. Derive an expression for the marginal utility of y. Under what condition is the marginal utility diminishing.
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