You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

Depasquale corporation is working on its direct labor budget for the next two months. each unit of output requires 0.61 direct labor-hours. the direct labor rate is $8.70 per direct labor-hour. the production budget calls for producing 6,700 units in may and 7,100 units in june. if the direct labor work force is fully adjusted to the total direct labor-hours needed each month, what would be the total combined direct labor cost for the two months?