A monopolist’s inverse demand function is estimated as P = 650 − 2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 3Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 4Q2.
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.
Instructions: Round your response to two decimal places.
Output for facility 1:
Output for facility 2:
c. Determine the profit-maximizing price.
Instructions: Round your response to the nearest penny (two decimal places).