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4) Suppose a monopolist controls the market for diamonds. The inverse demand for diamonds is given...

4) Suppose a monopolist controls the market for diamonds. The inverse demand for diamonds is given by p = 1800 – Q, where Q is millions of carats of diamonds per year and p is dollars per carat. Cost function of the firm is given by C = (1/2) Q2

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a) What price and quantity does the monopolist choose?

b) Suppose the government regulates the monopolist to price at $900 per carat. What is the equilibrium quantity?

c) What is consumer surplus and producer surplus without regulation?

d) What is the deadweight loss from monopoly (without regulation)?

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