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 + cihi. 1 a) What is John's optimal consumption of h in Sydney? b) What would be John's optimal consumption of c in Batemans Bay? c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay?
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 + cihi. 1 a) What is John's optimal consumption of h in Sydney? b) What would be John's optimal consumption of c in Batemans Bay? c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![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 ph = 90. In Batemans
1
1
Bay, Ph = 36. John's utility function is u(c, h) = h + cihi.
a) What is John's optimal consumption of h in Sydney?
b) What would be John's optimal consumption of c in Batemans Bay?
c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6160dc10-b619-4dba-93d8-e8a5de35ac97%2Fc5a2831f-841d-45a9-96d1-806a364de776%2Fbgt7iq2_processed.jpeg&w=3840&q=75)
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, pe = 54 and ph = 90. In Batemans
1
1
Bay, Ph = 36. John's utility function is u(c, h) = h + cihi.
a) What is John's optimal consumption of h in Sydney?
b) What would be John's optimal consumption of c in Batemans Bay?
c) What is the maximum cost of living ph such that John will accept to move to Batemans Bay?
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