You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 78 - 15Q, where Q = Q1 + Q2. The marginal costs associated with producing in the two plants are MC1 = 3Q1 and MC2 = 2Q2. How much output should be produced in plant 1 in order to maximize profits? What price should be charged to maximize profits
