14. Suppose that the market for a certain good has an inverse demand of P = 200 – Q. The aggregate private marginal cost for the firms that produce the good is MC = 20 + Q. However, production of the good also creates pollution with a external marginal cost of EMC = 10 + 2Q. e. If this is a perfectly competitive market with no regulation, what is the equilibrium price and quantity produced? f. Suppose instead that the market is a monopoly. Calculate the profit- maximizing price and quantity. g. Determine the socially efficient price and quantity for the good. h. Calculate the socially optimal per-unit tax to levy on the competitive firms and the monopolist respectively to make them produce at the socially efficient level.

Principles of Microeconomics
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Author:N. Gregory Mankiw
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Chapter10: Externalities
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14. Suppose that the market for a certain good has an inverse demand of P = 200 – Q.
The aggregate private marginal cost for the firms that produce the good is
MC = 20 + Q. However, production of the good also creates pollution with a
external marginal cost of EMC = 10 + 2Q.
e. If this is a perfectly competitive market with no regulation, what is the
equilibrium price and quantity produced?
f. Suppose instead that the market is a monopoly. Calculate the profit-
maximizing price and quantity.
g. Determine the socially efficient price and quantity for the good.
h. Calculate the socially optimal per-unit tax to levy on the competitive firms
and the monopolist respectively to make them produce at the socially
efficient level.
Transcribed Image Text:14. Suppose that the market for a certain good has an inverse demand of P = 200 – Q. The aggregate private marginal cost for the firms that produce the good is MC = 20 + Q. However, production of the good also creates pollution with a external marginal cost of EMC = 10 + 2Q. e. If this is a perfectly competitive market with no regulation, what is the equilibrium price and quantity produced? f. Suppose instead that the market is a monopoly. Calculate the profit- maximizing price and quantity. g. Determine the socially efficient price and quantity for the good. h. Calculate the socially optimal per-unit tax to levy on the competitive firms and the monopolist respectively to make them produce at the socially efficient level.
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