The Following Is a Demand Curve for an Oligopoly Firm

Essay

The following is a demand curve for an oligopoly firm:
AR = P = 250 - 2.5Q
where Q is the quantity sold per month of Product A, and P is the price of Product A. The firm's total cost function is:
TC = 200 + 50Q - 7.5Q² + 1/3 Q³
a. Determine the quantity sold that will maximize profit. Assume fractional quantities are acceptable.)
b. Indicate the dollar amount of profit for the firm at the above output per month.