You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 80-Q, where Q = Q1 + Q2. The marginal cost associated with producing in the two plants are MC1 = Q1 and MC2 = 8. What is the profit maximizing price that the firm should charge? AND How much output should be produced in plant 1 in order to maximize profits? Show work. (answered incorrectly many times for some reason on here)