If C(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit amount, then the profit P(x) obtained by selling an amount x is P(x) = 10 x − C(x). (Notice that there is a loss if P(x) is negative.) a. If C(x) = cx and c < 10, is there a maximum profit? No b. If C(x) = (x − 6)2 + 9, find the maximum profit (which might be negative!).
If C(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit amount, then the profit P(x) obtained by selling an amount x is P(x) = 10 x − C(x). (Notice that there is a loss if P(x) is negative.) a. If C(x) = cx and c < 10, is there a maximum profit? No b. If C(x) = (x − 6)2 + 9, find the maximum profit (which might be negative!).
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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If C(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit amount, then the profit P(x) obtained by selling an amount x is
a. If C(x) = cx and c < 10, is there a maximum profit?
P(x) = 10 x − C(x).
(Notice that there is a loss if P(x) is negative.)a. If C(x) = cx and c < 10, is there a maximum profit?
No
b. If C(x) = (x − 6)2 + 9, find the maximum profit (which might be negative!).
The maximum profit is dollars.
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