Suppose there is currently a single firm in the United States that will accept a particular type of radioactive waste for disposal. The inverse demand function is given by
\(P=600-\frac{1}{2000}Q\) ,
where Q represents cubic feet of waste disposed per year. Suppose the cost of waste disposal is
\(C(Q)=50+250Q+\frac{3}{2000}Q^2\) .
What is the firm's optimal quantity and price?
Next, suppose that the disposal firm's state passes a law that limits waste disposal to 50,000 cubic feet per year, as a response to the monopolist's deadweight loss. Please calculate the change in the monopolist's deadweight loss and therefore determine whether limiting waste disposal in this manner provides a solution to the deadweight loss problem.