3. You are an industry analyst who specializes in an industry where the market inverse demand is P = 200 − 4Q. The external marginal cost of producing the product is MCExternal = 6Q, and the internal cost is MCInternal = 12Q.a. What is the socially efficient level of output? b. Given these costs and market demand, how much output would a competitive industry produce? c. Given these costs and market demand, how much output would a monopolist produce? d. Discuss actions the government might take to induce firms in this industry to produce the socially efficient level of output.
A) Socially efficient occurs at the point P = MCE + MCI
300-5Q = 8Q + 14Q
300 = 27Q
Q = 11.11 units
B) A competitive output is where P = MCI
300-5Q = 14Q
300 = 19Q
Q = 15.8 units
C) Monopolist produces at the point MR = MCI
300-10Q = 14Q
300 = 24Q
Q = 12.5 units
D) Impose a tax on production equal to marginal external cost of 8 dollars for every unit of output produced.