The equations below represent the demand and supply curves for annual gym memberships in a certain city. qD= 500 − 2p, qs= 0.5p − 50 Assume that the city government offers a per-unit subsidy of $25 to those who sign up for an annual gym membership. a. Drawing on your knowledge from chapters 2 & 3, find the equilibrium pre and post subsidy. What share of the subsidy benefit accrues to the buyers? b. Do a welfare analysis comparing consumer surplus, producer surplus, and total surplus pre and post subsidy. Is there a deadweight loss associated with the implementation of this subsidy? Sketch a graph, label all relevant intercepts and areas, and refer to those areas to in your answer instead of calculating the monetary value of all surpluses and changes.

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter5: Supply, Demand, And Price: Applications
Section5.2: Application 2: Subsidizing The Consumption Of Anything Can Raise Its Price
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The equations below represent the demand and supply curves for annual gym memberships in a
certain city.
qD= 500 − 2p, qs= 0.5p − 50

Assume that the city government offers a per-unit subsidy of $25 to those who sign up for an
annual gym membership.

a. Drawing on your knowledge from chapters 2 & 3, find the equilibrium pre and post subsidy.
What share of the subsidy benefit accrues to the buyers?

b. Do a welfare analysis comparing consumer surplus, producer surplus, and total surplus pre and
post subsidy. Is there a deadweight loss associated with the implementation of this subsidy? 
Sketch a graph, label all relevant intercepts and areas, and refer to those areas to in your answer
instead of calculating the monetary value of all surpluses and changes. 

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