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
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.1: Systems Of Linear Equations: Two Variables
Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are...
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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.)

Expert Solution
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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