In the market for capital, the discovery of new productive technologies increases the
profitability of investments. What happens to the market interest rate and quantity of
capital?
A) The market interest rate increases and the quantity of capital increases.
B) The market interest rate increases and the quantity of capital decreases.
C) The market interest rate decreases and the quantity of capital decreases.
D) The market interest rate decreases and the quantity of capital increases.
Recreation centers offer a place for young people to play sports and do other activities
at a marginal cost of MC = 0.25Q. The inverse demand curve for recreation centers is
given by P = 10 ” 0.25Q, where P is the price of entry and Q measures hundreds of
entrants. Recreation centers create positive externalities because they help get young
people off the street and engaged in more productive activities. The external marginal
benefits areEMB = 1 + 0.06Q.
a. Without government intervention, what is the number of people who use the
recreation centers?
b. Derive the social demand curve for recreation centers.
c. What is the socially optimal number of entrants?
d. Explain how the government could use a price-based intervention to achieve the
socially optimal number of entrants.