Suppose that the (inverse) market demand curve for a new drug, Adipose-Off, designed to painlessly reduce body fat, is represented by the equation P=100-2Q, where P is the price in dollars per dose and Q is the annual output. (The marginal revenue curve is thus given by the equation MR=100-4Q). Suppose also that there is a single supplier of the drug who faces a marginal cost, as well as average cost, of producing the drug, equal to a constant $20 per dose. What are the monopolist's profit-maximizing output and price? What is the resulting deadweight loss relative to the competitive outcome?
Calculate the Lerner Index for the monopoly described in the question above.