A monopolist's demand curve is described by Q = 50 - 0.5 P
The firm's cost function is TC = 10 + 2 Q
a) Find the profit-maximizing quantity and price.
b) If the industry is regulated in a way that requires it to set P = AC, how much will be sold and what will the price be?
c) If the industry is regulated in a way that requires it to set P = MC, how much will be sold and what will the price be?