Given the following utility function: U = 5X + 10Y and marginal utilities: MU, = 5, MU, = 10 A consumer facing the following prices: Px = $2, Py =1 chooses to consume: 16 units of good X and 9 units of good Y. Given this consumption bundle, the marginal rate of substitution is equal to - (Round your answer to two decimal places. Note that the minus sign is already included.). Given this value, the consumer should consume in order to maximize his/her utility

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.11P
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Given the following utility function:
U = 5X + 10Y
and marginal utilities:
MU, = 5, MU, = 10
A consumer facing the following prices:
Px = $2, Py =1
chooses to consume:
16 units of good X and 9 units of good Y.
Given this consumption bundle, the marginal rate of substitution is equal to
(Round your answer to two decimal places. Note that the minus sign is already included.).
Given this value, the consumer should consume
in order to maximize his/her utility.
Transcribed Image Text:Given the following utility function: U = 5X + 10Y and marginal utilities: MU, = 5, MU, = 10 A consumer facing the following prices: Px = $2, Py =1 chooses to consume: 16 units of good X and 9 units of good Y. Given this consumption bundle, the marginal rate of substitution is equal to (Round your answer to two decimal places. Note that the minus sign is already included.). Given this value, the consumer should consume in order to maximize his/her utility.
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