If the profit function for a firm is given by  P(x) = −3800 + 210x − x2  and limitations on space require that production be less than 100 units, find the break-even points.

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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If the profit function for a firm is given by 

P(x) = −3800 + 210x − x2

 and limitations on space require that production be less than 100 units, find the break-even points. (Enter your answers as a comma-separated list.)

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Step 1

According to the question, 

Profit function for a firm is given by equation:

P(x) = −3800 + 210x − x2
 
Also, the production should be less than 100 units. 
We need to calculate the break even point for this situation. 
 
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