Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2.  Also, the consumer has $72 to spend, the price of Good X, PX = $1, and the price of Good Y, PY = $1. a)How much X and Y should the consumer purchase in order to maximize her utility? b)How much total utility does the consumer receive? c)  Now suppose PX increases to $9.  What is the new bundle of X and Y that the consumer will demand?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 25SQ
icon
Related questions
Question

Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2.  Also, the consumer has $72 to spend, the price of Good X, PX = $1, and the price of Good Y, PY = $1.

a)How much X and Y should the consumer purchase in order to maximize her utility?

b)How much total utility does the consumer receive?

c)

 Now suppose PX increases to $9.  What is the new bundle of X and Y that the consumer will demand?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Utility Maximization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning