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 unitsunfinished units What is the maximum profit realizable? $
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 unitsunfinished units What is the maximum profit realizable? $
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 24E
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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 unitsunfinished units
What is the maximum profit realizable?
$
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