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Chris M., M.S.W. Social Work
Category: Homework
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Experience:  Master's Degree, strong math and writing skills, experience in one-on-one tutoring (college English)
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# The break even values for a profit model are the values for

### Resolved Question:

The break even values for a profit model are the values for which you earn \$0 in profit. In other words, you neither earn nor lose money. Use the equation P=49x-x^2-490 to solve P = 0, and find your break even values.

Solve a Quadratic Equation by Factoring
Submitted: 6 years ago.
Category: Homework
Expert:  Chris M. replied 6 years ago.

Hello,

-x² + 49x - 490 = 0

-1(x² - 49x + 490) = 0

-1(x - 35)(x - 14) = 0

x - 35 = 0
x = 35

x - 14 = 0
x = 14

The break even points are selling either 14 or 35 per month.

Hope this helps!

Customer: replied 6 years ago.

Using the break even values in question #4 and trial & error to find the quantity of tile sets per month that yields the highest profit. What price would you sell the tile sets at to realize this profit?

Fill the table using values for x that are in between the two possible values you got from problem #4, then use the information you've generated to answer the question.

 x P 14 16 18 20 22 24 25 26 28 30 32 34 35
Expert:  Chris M. replied 6 years ago.