For each of the following, graphically decompose the total effect of the price change into the substitution and income effects on a well-annotated graph. Be sure to clearly label each of the three effects.   2. Paula’s preferences for goods x and y are given by the utility function, U = x 1/2 y 1/2 . Her income is $160, and the price of good y is always $20. Suppose the price of x starts at $20 and then decreases to $5. a. Calculate the income, substitution, and total effects of the price decrease on both goods. Show your work for full credit and round to 2 decimal places where appropriate.

Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter20: Consumer Choice And Elasticity
Section: Chapter Questions
Problem 3CQ: Recent research confirms that the demand for cigarettes is not only inelastic, but it also indicates...
icon
Related questions
Question

For each of the following, graphically decompose the total effect of the price change into the substitution and income effects on a well-annotated graph. Be sure to clearly label each of the three effects.

 

2. Paula’s preferences for goods x and y are given by the utility function, U = x 1/2 y 1/2 . Her income is $160, and the price of good y is always $20. Suppose the price of x starts at $20 and then decreases to $5.

a. Calculate the income, substitution, and total effects of the price decrease on both goods. Show your work for full credit and round to 2 decimal places where appropriate.

b. Use a clearly labeled graph to illustrate the total, income, and substitution effects of the price decrease on Paula’s consumption of goods x and y. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Utility Function
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
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
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Microeconomics A Contemporary Intro
Microeconomics A Contemporary Intro
Economics
ISBN:
9781285635101
Author:
MCEACHERN
Publisher:
Cengage