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Suppose that the demand for apartments is given by P equals 30 minus Q , and the

ID: 1173820 • Letter: S

Question

Suppose that the demand for apartments is given by P equals 30 minus Q , and the supply of apartments is given by P equals 2 Q . Suppose the government decides to impose a maximum rent of P equals 16. Which of the following statements best describes the outcome of such a rent?

The rent is a price ceiling, and there is a housing surplus of 16.

The rent is a price floor, and there is a housing shortage of 16.

The rent is a price floor, and there is a housing shortage of 24.

The rent is a price ceiling, and there is a housing shortage of 16

The rent is a price ceiling, and there is a housing surplus of 16.

The rent is a price floor, and there is a housing shortage of 16.

The rent is a price floor, and there is a housing shortage of 24.

The rent is a price ceiling, and there is a housing shortage of 16

Explanation / Answer

Correct Answer:

D.

Working note:

At equilibrium, demand = supply

30-Q = 2Q

Q = 10

Price = 30-10 = $20

Since the $16 price is lower than the equilibrium price of $20, then it is a price ceiling.

At lower price than the equilibrium price, there will shortage in the market.

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