Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x² + 600x - 100 Part A: If the company can produce at most 200 units, how many should the sell in order to maximize the profit? Part B: What is the maximum profit? $ Part C: If the company could only produce a maximum of 80 units, what would the maximum profit be? $

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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Suppose that the profit a company makes from selling x units of a product is given by :
P(x)=2x² + 600x - 100
Part A:
If the company can produce at most 200 units, how many should the sell in order to maximize the
profit?
Part B:
What is the maximum profit?
$
Part C:
If the company could only produce a maximum of 80 units, what would the maximum profit be?
$
Transcribed Image Text:Suppose that the profit a company makes from selling x units of a product is given by : P(x)=2x² + 600x - 100 Part A: If the company can produce at most 200 units, how many should the sell in order to maximize the profit? Part B: What is the maximum profit? $ Part C: If the company could only produce a maximum of 80 units, what would the maximum profit be? $
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