A company has two manufacturing plants which manufacture the same item. Suppose the cost function is given by C(91 , 92 ) = 29, + 9, 92 + 97, where q1 and q2 are the quantities (measured in thousands) produced in each plant. The total demand q1 + 92 is related to the price, p, by p = 110 - 0.5(q, + 92). How much should each plant produce in order to maximize the company's profit? The first plant should produce items and the second plant should produce i items in order to maximize profit