Business and Economics In Exercises 15-22, assume that relative maximum and mini- mum values are absolute maximum and minimum values. 15. Maximizing profit. Safe Shades produces two kinds of sunglasses; one kind sells for $17, and the other for $21. The total revenue in thousands of dollars from the sale of x thousand sunglasses at $17 each and y thousand at $21 each is given by R(x, y) = 17x + 21y. The company determines that the total cost, in thou- sands of dollars, of producing x thousand of the $17 sun- glasses and y thousand of the $21 sunglasses is given by C(x, y) = 4x2 – 4xy + 2y² – 11x + 25y – 3. How many of each type of sunglasses must be produced and sold to maximize profit?
Business and Economics In Exercises 15-22, assume that relative maximum and mini- mum values are absolute maximum and minimum values. 15. Maximizing profit. Safe Shades produces two kinds of sunglasses; one kind sells for $17, and the other for $21. The total revenue in thousands of dollars from the sale of x thousand sunglasses at $17 each and y thousand at $21 each is given by R(x, y) = 17x + 21y. The company determines that the total cost, in thou- sands of dollars, of producing x thousand of the $17 sun- glasses and y thousand of the $21 sunglasses is given by C(x, y) = 4x2 – 4xy + 2y² – 11x + 25y – 3. How many of each type of sunglasses must be produced and sold to maximize profit?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 15E
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Transcribed Image Text:Business and Economics
In Exercises 15-22, assume that relative maximum and mini-
mum values are absolute maximum and minimum values.
15. Maximizing profit. Safe Shades produces two kinds of
sunglasses; one kind sells for $17, and the other for $21.
The total revenue in thousands of dollars from the sale
of x thousand sunglasses at $17 each and y thousand at
$21 each is given by
R(x, y) = 17x + 21y.
The company determines that the total cost, in thou-
sands of dollars, of producing x thousand of the $17 sun-
glasses and y thousand of the $21 sunglasses is given by
C(x, y) = 4x2 – 4xy + 2y² – 11x + 25y – 3.
How many of each type of sunglasses must be produced
and sold to maximize profit?
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