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The total weekly revenue (in dollars) of the Country Workshop realized in manufa

ID: 2853744 • Letter: T

Question

The total weekly revenue (in dollars) of the Country Workshop realized in manufacturing and selling its rolltop desks is given by the following equation, where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week.

R(x, y) = -0.25x2 - 0.2y2 - 0.2xy + 200x + 150y

The total weekly cost attributable to the manufacture of these desks is given by the following equation, where C(x, y) is in dollars.

C(x, y) = 90x + 90y + 4300

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?
$ _____

finished _____ units unfinished _____ units

Explanation / Answer

The total weekly revenue (in dollars) of the Country Workshop realized in manufa

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