A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling x units is 20x + 0.25x² dollars. Find the number of units the company should produce in order to maximize profit, and find the maximum profit.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
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A firm produces a commodity and receives $100 for each unit sold. The cost of producing
and selling r units is 20x + 0.25x? dollars. Find the number of units the company should produce in
order to maximize profit, and find the maximum profit.
Transcribed Image Text:A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling r units is 20x + 0.25x? dollars. Find the number of units the company should produce in order to maximize profit, and find the maximum profit.
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