申論題

2.The total weekly revenue (in dollars) of the company realized in manufacturing and selling its rolltop desks is given by R(x, y) = -0.2x² - 0.25y² - 0.2xy + 224x + 180y where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. The total weekly cost attributable to the manufacture of these desks is given by C(x, y) = 120x + 80y + 2000 dollars. Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. What is the maximum profit (P) realizable?