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It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, 2a the number sold is given by n = + b(60-x), where a and b are positive constants. What selling X-C price will bring a maximum profit?

It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, 2a the number sold is given by n = + b(60-x), where a and b are positive constants. What selling X-C price will bring a maximum profit?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, 2a the number sold is given by n = + b(60-x), where a and b are positive constants. What selling X-C price will bring a maximum profit? Express the total profit P in terms of x. P(x) = he
Transcribed Image Text:It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, 2a the number sold is given by n = + b(60-x), where a and b are positive constants. What selling X-C price will bring a maximum profit? Express the total profit P in terms of x. P(x) = he
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