Suppose that the (inverse) market demand curve for a new drug, Adipose-Off, designed to painlessly reduce body fat, is represented by the equation $P=100-2 Q$, 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 $\mathrm{MR}=100-4 Q$.) 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?