A company operates two plants which manufacture the same item and whose total cost functions are C1 = 6.8 +0.03(q )' and C2 = 7.2 + 0.04(q, ), where q, and q, are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = q, + q, , is related to the price, p, by p = 40 - 0.04q. How much should each plant produce in order to maximize the company's profit?1 9, = i\fDividing the equations both with 2 20 - 0.0791 - 0.0492 = 6 20 - 0.0491 - 0.0892 = 0 - 9 4 =) subgiacting equation (2) From equation (1) - 6039 1 +0. 049 2 26 6:0492 = 0.0391 492 = 391 92 = 3 9, 4 91 - 3 - 92 3 - Substituting / 91 = 492 in equation 1 20 - 0. 07 / 492) - 0. 0492 20 20 = 10.093 40.04912 92 = 150.03 =) Fromequation ? 9 / 2 2 . 3 9) 4 3 91 = 4q2 2 200.04