A company manufactures x 55-inch televisions which sell for $r and y 60-inch televisions which sell for $s. The weekly demand and cost equations are as follows: r=-6x + y + 329 s=2x-7y+382 C(x, y) = 110 x + 230 y + 360 How many of each product should the company produce to maximize their profit? a) 24 55-inch televisions and 22 60-inch televisions b) 24 55-inch televisions and 14 60-inch televisions Oc) 22 55-inch televisions and 16 60-inch televisions d) 26 55-inch televisions and 14 60-inch televisions

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 8CQ
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A company manufactures x 55-inch televisions which sell for $r and y
60-inch televisions which sell for $s. The weekly demand and cost equations are as
follows:
r=-6x + y + 329
s=2x-7y+382
C(x, y) = 110x + 230 y + 360
How many of each product should the company produce to maximize their profit?
O a) 24 55-inch televisions and 22 60-inch televisions
b) 24 55-inch televisions and 14 60-inch televisions
Oc) 22 55-inch televisions and 16 60-inch televisions
d) 26 55-inch televisions and 14 60-inch televisions
Transcribed Image Text:A company manufactures x 55-inch televisions which sell for $r and y 60-inch televisions which sell for $s. The weekly demand and cost equations are as follows: r=-6x + y + 329 s=2x-7y+382 C(x, y) = 110x + 230 y + 360 How many of each product should the company produce to maximize their profit? O a) 24 55-inch televisions and 22 60-inch televisions b) 24 55-inch televisions and 14 60-inch televisions Oc) 22 55-inch televisions and 16 60-inch televisions d) 26 55-inch televisions and 14 60-inch televisions
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