The town council is contemplating the imposition of a R350 per month rent ceiling on apartment rooms in the town. An economist at the university estimates the demand and supply curves as: QD = 5600 - 8P QS = 500 + 4P, where P = monthly rent, and Q = number of apartments available for rent. For purposes of this analysis, apartments can be treated as identical. a) Calculate the equilibrium price and quantity that would prevail without the price ceiling.[1] b) Calculate producer and consumer surplus at this equilibrium. [3] c) Provide a rough sketch of the information calculated in (a) and (b)

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter8: Understanding Markets And Industry Changes
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The town council is contemplating the imposition of a R350 per month rent ceiling on apartment rooms in the town. An economist at the university estimates the demand and supply curves as: QD = 5600 - 8P QS = 500 + 4P, where P = monthly rent, and Q = number of apartments available for rent. For purposes of this analysis, apartments can be treated as identical. a) Calculate the equilibrium price and quantity that would prevail without the price ceiling.[1] b) Calculate producer and consumer surplus at this equilibrium. [3] c) Provide a rough sketch of the information calculated in (a) and (b). [2] d) What quantity will eventually be available if the rent ceiling is imposed? What is the amount of the shortage? [2] e) Calculate then resulting impact on consumer and producer surplus.[3] f) What is meant by deadweight loss? Why does a price ceiling usually result in a deadweight loss? In your answer explain the impact on both producers and consumers. [4]

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