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?

Aquatic marine stores company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. aquatic uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 3 pounds per unit; $ 6 per pound direct labor: 4 hours per unit; $ 19 per hour during the first quarter, aquatic produced 5 comma 000 units of this product. actual direct materials and direct labor costs were $ 65 comma 000 and $ 330 comma 000, respectively. for the purpose of preparing the flexible budget, calculate the total standard direct materials cost at a production volume of 5 comma 000 units.