Jane consumes two goods, shoes, s, and housing, h. Her income is M and the prices = s¾/³h¾/3 of s and h are Ps and Ph, respectively. Jane's utility function is U=S Find the following: a b. Marshallian demand functions Derive the price elasticity for housing. What is the cross price elasticity for housing? Derive the expenditure-income elasticity for housing (that is, the % change in expenditure on h when there is a 1% change in income)? What about the Cobb-Douglas demand functions explains these elasticities.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
1
Jane consumes two goods, shoes, s, and housing, h. Her income is M and the prices
57/317/3
of s and h are Ps and Ph, respectively. Jane's utility function is Us
Find the following:
a
Marshallian demand functions
b.
Derive the price elasticity for housing. What is the cross price elasticity for
housing? Derive the expenditure-income elasticity for housing (that is, the %
change in expenditure on h when there is a 1% change in income)?
What about the Cobb-Douglas demand functions explains these elasticities.
C.
Derive the indirect utility function and expenditure function
d.
Using Shephard's Lemma, derive the Hicksian demand functions
e.
Perform a Slutsky decomposition for housing (that is, what is the total effect
on quantity demanded when there is a change in price and also what is the
income and substitution effect).
Now assume income is $1,500, the price of shoes is $8 and the price of housing is $125.
f.
What is the quantity demanded of housing? Now assume the government
subsidizes housing by giving Jane $25 for every unit of housing she buys.
Using the idea of compensating variation, how much consumer surplus does
she gain from this policy?
Transcribed Image Text:1 Jane consumes two goods, shoes, s, and housing, h. Her income is M and the prices 57/317/3 of s and h are Ps and Ph, respectively. Jane's utility function is Us Find the following: a Marshallian demand functions b. Derive the price elasticity for housing. What is the cross price elasticity for housing? Derive the expenditure-income elasticity for housing (that is, the % change in expenditure on h when there is a 1% change in income)? What about the Cobb-Douglas demand functions explains these elasticities. C. Derive the indirect utility function and expenditure function d. Using Shephard's Lemma, derive the Hicksian demand functions e. Perform a Slutsky decomposition for housing (that is, what is the total effect on quantity demanded when there is a change in price and also what is the income and substitution effect). Now assume income is $1,500, the price of shoes is $8 and the price of housing is $125. f. What is the quantity demanded of housing? Now assume the government subsidizes housing by giving Jane $25 for every unit of housing she buys. Using the idea of compensating variation, how much consumer surplus does she gain from this policy?
Expert Solution
steps

Step by step

Solved in 3 steps with 6 images

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
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