A monopolist's inverse demand function is P = 150 - 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC₁(Q₁) = 6Q₁, and the marginal cost of producing at facility 2 is MC₂(Q₂) = 2Q₂.

a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q₁ + Q₂ = Q.)

MR(Q) = - Q₁ - Q₂

b. Determine the profit-maximizing level of output for each facility.

Output for facility 1:

Output for facility 2:

c. Determine the profit-maximizing price.