A consumer's preferences for food (x) and clothing (y) are represented by the utility function ?x,y = xy^0.5. Suppose the consumer's income is m = 12 and the prices are P x = 1 and P y = 2. Calculate the optimal bundle. Calculate the indirect utility function.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter21: The Theory Of Consumer Choice
Section21.1: The Budget Constraint: What The Consumer Can Afford
Problem 1QQ
icon
Related questions
Question

8. A consumer's preferences for food (x) and clothing (y) are represented by the utility function ?x,y = xy^0.5. Suppose the consumer's income is m = 12 and the prices are P x = 1 and P y = 2. Calculate the optimal bundle. Calculate the indirect utility function.

Expert Solution
steps

Step by step

Solved in 4 steps with 4 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.
Recommended textbooks for you
Principles of Microeconomics
Principles of Microeconomics
Economics
ISBN:
9781305156050
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Microeconomics (MindTap Course List)
Principles of Microeconomics (MindTap Course List)
Economics
ISBN:
9781305971493
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
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