Consider a consumer whose utility function is U(q1,q2) = q1*q2. This consumer has $100 and prices of two goods are p1 = $1 and p2 = $2. a) Draw indifference curves corresponding to utility levels 1 and 4. b) Now consider utility function U(q1,q2) = (q1*q2)2. Check that it generates same indifference curve map as initial utility function and JUSTIFY this result. (c) Calculate marginal utilities of both goods and COMMENT on their properties. d) Calculate marginal ratio of substitution (MRS) at points (1,1) ; (1/2,2) ; (2,1/2) ; (2,2) ; (3,1) and (1,3) and INTERPRET results.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 11SQ
icon
Related questions
Question
100%

Consider a consumer whose utility function is U(q1,q2) = q1*q2. This consumer has $100 and prices of two goods are p1 = $1 and p2 = $2.
a) Draw indifference curves corresponding to utility levels 1 and 4.
b) Now consider utility function U(q1,q2) = (q1*q2)2. Check that it generates same indifference curve map as initial utility function and JUSTIFY this result.
(c) Calculate marginal utilities of both goods and COMMENT on their properties.
d) Calculate marginal ratio of substitution (MRS) at points (1,1) ; (1/2,2) ; (2,1/2) ; (2,2) ; (3,1) and (1,3) and INTERPRET results.

THANKS. 

Expert Solution
steps

Step by step

Solved in 6 steps with 29 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
  • SEE MORE 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