ST11.2 Price Ceilings. The local government in a West Coast college town is concerned
about a recent explosion in apartment rental rates for students and other low-income
renters. To combat the problem, a proposal has been made to institute rent control
that would place a $900 per month ceiling on apartment rental rates. Apartment
supply and demand conditions in the local market are:
QS = -400+ 2P (Market Supply)
QD = 5,600 – 4P (Market Demand)
where Q is the number of apartments and P is monthly rent.
A. Graph and calculate the equilibrium price/output solution. How much
consumer surplus, producer surplus, and social welfare is produced at this
activity level?
B. Use the graph to help you algebraically determine the quantity demanded,
quantity supplied, and shortage with a $900 per month ceiling on apartment
rental rates.
C. Use the graph to help you algebraically determine the amount of consumer and
producer surplus with rent control.
D. Use the graph to help you algebraically determine the change in social welfare
and deadweight loss in consumer surplus due to rent control.
ST11.2 SOLUTION
A. The competitive market supply curve is given by the equation
The competitive market demand curve is given by the equation