(3.1)
(a) Without rent ceiling, equilibrium occurs when quantity demanded equals quantity supplied.
Equilibrium quantity = 400
Equilibrium rent = $900
Demand and supply curves as follows.
(b) With rent ceiling,
Rent = $700
Quantity demanded = 800
Quantity supplied = 200
Since tenants can rent only the number of housing that house-owners offer to rent, quantity of rent is 200.
Shortage = Quantity demanded - Quantity supplied = 800 - 200 = 600
(c) When quantity = 200, from quantity demanded function we see that quantity demand of 200 is associated with a price of $1,000. This is the maximum price at this quantity. The housing market is not efficient because the market does not clear, since all house-seekers cannot get a house for rent at lower ceiling rent, which gives rise to a social inefficiency (deadweight loss).
(d) The blck market rent could be the maximum willingness to pay by rent-seekers, which is $1,100.
NOTE: As HOMEWORKLIB Answering guidelines, first question is answered.
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