A firm with market power faces the following estimated demand and average variable cost functions: Qd = 39,000 - 500 P + 0.4 M - 8,000 PR AVC = 30 - 0.005 Q + 0.0000005 Q 2 where Q d is quantity demanded, P is price, M is income, and PR is the price of a related good. The firm expects income to be $40,000 and PR to be $2. Total fixed cost is $100,000. What price should the firm charge in order to maximize profit?