Maximizing Profit 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) = −0.25x 2 − 0.2y 2 − 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) = 110x + 50y + 4800 Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. finished unitsunfinished units What is the maximum profit realizable? $ Transcribed Image Text: Maximizing Profit 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)
= 110x + 50y + 4800
Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit.
finished
units
unfinished
units
What is the maximum profit realizable?
$
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