5. Consider a monocentric model with fixed housing unit h and the utility of residents u=c, where c is the consumption of the composite goods. The budget constraint of each resident living at distance d from the CBD is c + ph = w-dt, where w is wage, p is housing rental rate, t is the unit commuting cost in distance. The city is open and free migration in and out. The external utility they obtain out of the city is ū= 10. The rental rate on agricultural land is pA. (a) Illustrate why the consumption of residents living in all parts of the city will be equalized. (b) Derive the housing rental rate (p) as a function of d, distance from the CBD, What is the slope? Draw a figure with p at the y-axis and d at the x axis. (c) Discuss how the boundary of the city is determined in this model, how would the boundary of the city respond to wage w and commuting cost t?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
5. Consider a monocentric model with fixed housing unit h and the utility of residents u=c,
where c is the consumption of the composite goods. The budget constraint of each resident
living at distance d from the CBD is c + ph = w-dt, where w is wage, p is housing rental rate,
t is the unit commuting cost in distance. The city is open and free migration in and out. The
external utility they obtain out of the city is ū= 10. The rental rate on agricultural land is pA.
(a) Illustrate why the consumption of residents living in all parts of the city will be
equalized.
(b) Derive the housing rental rate (p) as a function of d, distance from the CBD, What is
the slope? Draw a figure with p at the y-axis and d at the x axis.
(c) Discuss how the boundary of the city is determined in this model, how would the
boundary of the city respond to wage w and commuting cost t?
Transcribed Image Text:5. Consider a monocentric model with fixed housing unit h and the utility of residents u=c, where c is the consumption of the composite goods. The budget constraint of each resident living at distance d from the CBD is c + ph = w-dt, where w is wage, p is housing rental rate, t is the unit commuting cost in distance. The city is open and free migration in and out. The external utility they obtain out of the city is ū= 10. The rental rate on agricultural land is pA. (a) Illustrate why the consumption of residents living in all parts of the city will be equalized. (b) Derive the housing rental rate (p) as a function of d, distance from the CBD, What is the slope? Draw a figure with p at the y-axis and d at the x axis. (c) Discuss how the boundary of the city is determined in this model, how would the boundary of the city respond to wage w and commuting cost t?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education