Describe the differences between power and authority

Amonopolist’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) = 150 - 6 q1 - 3 q2b. determine the profit-maximizing level of output for each facility.output for facility 1: output for facility 2: c. determine the profit-maximizing price.$