Suppose some unfortunate legislation in the burrito industry enables exactly one firm to operate in the market. The inverse market demand for burritos is given by

p = 750 - 2.5Q

where Q is the output of the monopolist and p is the market price. The firm has a cost function:

C(Q)=5Q²+12750.

- How much profit does the monopolist make?

- What would be the socially efficient quantity to sell?

- What deadweight loss is created by the monopolist selling at the profit-maximizing price and quantity?