John currently lives in Sydney where he earns $2700 a week as a high school principal. If he moves to Batemans Bay, he has to accept a position as a classroom teacher where he will earn $2100 a week. John only considers two goods, cost of living (c) and health (h). In Sydney, Pe = 54 and p = 90. In Batemans Bay, Ph= 36. John's utility function is u(c, h) =h+ ch2. a) What is John's optimal consumption of h in Sydney? 13.5 One possible correct answer is: 17.715 b) What would be John's optimal consumption of c in Batemans Bay? One possible correct answer is: 24.243 c) What is the maximum cost of living Ph such that John will accept to move to Batemans Bay? One possible correct answer 73.651

Economics For Today
10th Edition
ISBN:9781337613040
Author:Tucker
Publisher:Tucker
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 5SQ
icon
Related questions
Question
John currently lives in Sydney where he earns $2700 a week as a high school principal. If he moves to Batemans Bay, he has to accept a position as a classroom teacher where he will earn $2100 a week. John only considers two goods, cost of living (c) and health (h). In Sydney,
Pc = 54 and ph = 90. In Batemans Bay, ph = 36. John's utility function is u(c, h) = h + c2h2.
a) What is John's optimal consumption of h in Sydney?
13.5
One possible correct answer is: 17.715
b) What would be John's optimal consumption of c in Batemans Bay?
One possible correct answer is: 24.243
c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay?
One possible correct answer is: 73.651
Transcribed Image Text:John currently lives in Sydney where he earns $2700 a week as a high school principal. If he moves to Batemans Bay, he has to accept a position as a classroom teacher where he will earn $2100 a week. John only considers two goods, cost of living (c) and health (h). In Sydney, Pc = 54 and ph = 90. In Batemans Bay, ph = 36. John's utility function is u(c, h) = h + c2h2. a) What is John's optimal consumption of h in Sydney? 13.5 One possible correct answer is: 17.715 b) What would be John's optimal consumption of c in Batemans Bay? One possible correct answer is: 24.243 c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay? One possible correct answer is: 73.651
Expert Solution
steps

Step by step

Solved in 3 steps

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
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Microeconomics
Microeconomics
Economics
ISBN:
9781337617406
Author:
Roger A. Arnold
Publisher:
Cengage Learning