The total weekly revenue of the Country Workshop in manufacturing and selling its rolltop desks is given by R(x, y) = -0.2x² -0.25y²-0.2xy + 206x + 195y 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 to manufacture the desks is given by C(x) = 100x +90y + 4000 Determine how many finished units and unfinished units the company should manufacture each week to maximize its profit. Hence, find the maximum profit.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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The total weekly revenue of the Country Workshop in manufacturing and selling its
rolltop desks is given by
R(x, y) = -0.2x² -0.25y² -0.2xy + 206x + 195y
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 to manufacture the desks is given by
C(x) = 100x + 90y + 4000
Determine how many finished units and unfinished units the company should
manufacture each week to maximize its profit.
Hence, find the maximum profit.
Transcribed Image Text:The total weekly revenue of the Country Workshop in manufacturing and selling its rolltop desks is given by R(x, y) = -0.2x² -0.25y² -0.2xy + 206x + 195y 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 to manufacture the desks is given by C(x) = 100x + 90y + 4000 Determine how many finished units and unfinished units the company should manufacture each week to maximize its profit. Hence, find the maximum profit.
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