Ernie’s preferences for apples (qa) and bananas (qb) are captured by the utility function U(qa, qb) = 2qa + 3qb. Ernie has an income of $100. (a) Derive Ernie’s marginal utilities of apples and bananas. (b) Find Ernie’s optimal consumption bundle when the price of an apple is $2 and the price of a banana is $1. (c) Find Ernie’s optimal consumption bundle when the price of an apple is $2 and the price of a banana is $4

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.11P
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Ernie’s preferences for apples (qa) and bananas (qb) are captured by the utility function
U(qa, qb) = 2qa + 3qb. Ernie has an income of $100.
(a) Derive Ernie’s marginal utilities of apples and bananas.
(b) Find Ernie’s optimal consumption bundle when the price of an apple is $2 and the
price of a banana is $1.
(c) Find Ernie’s optimal consumption bundle when the price of an apple is $2 and the
price of a banana is $4.
(d) Find Ernie’s optimal consumption bundle when the price of an apple is $2 and the
price of a banana is $3.

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