ice and output (P and Q) as a function of exogenous variables in 3). Using comparative statics, find how the equilibrium price and outpu 0 agegb aPegb apeqb P) and income () change (i.e. find- emand and supply are affected?) Are goods x and y complements or sut Terior good? exogenous variables are given as follows: Income ()= 520, Price of the librium price and output values. Calculate the price elasticity of demar aximized at the equilibrium price? If not, what would you do to incre asticity of demand at the equilibrium price and output found in part c. I price elasticity of demand forx with respect to price of y? Are the you consistent with part a? come (I) = 520, Price of the related product (P,) = 40. Suppose r it tax on sellers. Find the new equilibrium price and quantity after the ta en on buyers? Show the original no tax equilibrium (in part a) and the equ ate the burden on buyers and sellers. Find the relationship between the lemand and supply. %3D

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.3P
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Suppose that the demand function is given as follows Q -1440-3P,+P,-I and Q =-240+ P, where P.
denotes pnice of good x, P, denotes the price of a related product y, I denotes income.
Find equilibrium price and output (P and O) as a function of exogenous variables income (I)
and price of the related product (P,). Using comparative statics, find how the equilibrium price and output change
a)
-) Support
as Price of the related product (P,) and income () change (i.e. find-
P,
your findings with graphs (how demand and supply are affected?) Are goods x and y complements or substitutes?
Is good x a nomal good or an inferior good?
b)
product (P,)= 40. Find the equilibrium price and output values. Calculate the price elasticity of demand at the
cquilibrium? Is total revenue maximized at the equilibrium price? If not, what would you do to increase total
revenue? Why?
Suppose now that exogenous variables are given as follows: Income (I) = 520, Price of the related
Find the income elasticity of demand at the equilibrium price and output found in part e. Is good x
a normal good? Find the cross price elasticity of demand for x with respect to price of y? Are the products
complements or substitutes? Are you consistent with part a?
d-
Consider that Income (I)
520. Price of the related product (P,) = 40. Suppose now that
government imposes $20 per unit tax on sellers. Find the new equilibrium price and quantity after the tax. What
is the burden on sellers and burden on buyers? Show the original no tax equilibrium (in part a) and the equilibrium
after tax on a diagram and indicate the burden on buyers and sellers. Find the relationship between the share of
burden and price elasticities of demand and supply
Transcribed Image Text:Suppose that the demand function is given as follows Q -1440-3P,+P,-I and Q =-240+ P, where P. denotes pnice of good x, P, denotes the price of a related product y, I denotes income. Find equilibrium price and output (P and O) as a function of exogenous variables income (I) and price of the related product (P,). Using comparative statics, find how the equilibrium price and output change a) -) Support as Price of the related product (P,) and income () change (i.e. find- P, your findings with graphs (how demand and supply are affected?) Are goods x and y complements or substitutes? Is good x a nomal good or an inferior good? b) product (P,)= 40. Find the equilibrium price and output values. Calculate the price elasticity of demand at the cquilibrium? Is total revenue maximized at the equilibrium price? If not, what would you do to increase total revenue? Why? Suppose now that exogenous variables are given as follows: Income (I) = 520, Price of the related Find the income elasticity of demand at the equilibrium price and output found in part e. Is good x a normal good? Find the cross price elasticity of demand for x with respect to price of y? Are the products complements or substitutes? Are you consistent with part a? d- Consider that Income (I) 520. Price of the related product (P,) = 40. Suppose now that government imposes $20 per unit tax on sellers. Find the new equilibrium price and quantity after the tax. What is the burden on sellers and burden on buyers? Show the original no tax equilibrium (in part a) and the equilibrium after tax on a diagram and indicate the burden on buyers and sellers. Find the relationship between the share of burden and price elasticities of demand and supply
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