2a It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n=x+b(67-x), where a and b are positive constants. What selling price will bring a maximum profit? Express the total profit P in terms of x. P(x)=(x-c)n The selling price that will maximize profit is $ C

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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2a
It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n =
+ b(67-x), where a and b are positive constants. What selling price will bring a maximum profit?
X-C
Express the total profit P in terms of x.
P(x) = (x-c)n
The selling price that will maximize profit is
Transcribed Image Text:2a It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, the number sold is given by n = + b(67-x), where a and b are positive constants. What selling price will bring a maximum profit? X-C Express the total profit P in terms of x. P(x) = (x-c)n The selling price that will maximize profit is
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