Question: MAXIMIZING PROFIT The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by
R(x, y) = -0.2x2 - 0.25y2 - 0.2xy + 200x + 160y
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) = 100x + 70y + 4000
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 realizable?