A monopolist's inverse demand function is P=100-Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1 (Q1) = 4Q1, and the marginal cost of producing at facility 2 is MC2 (Q2) = 2Q2.
a. Provide the equation for the monopolist marginal revenue function.
b. Determine the profit-maximizing level of output for each facility.
c. Determine the profit maximizing price.