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**ineedhelp****Member**- Registered: 2006-01-21
- Posts: 7

Fantastic Flags, Inc., finds that the cost to make x flags is: C = 19x + 10, 135

while the revenue produced from them is R = 37x (C and R are in dollars).

What is the smallest whole number of flags, x, that must be sold for the company to show a profit (that is, the point at which revenue begins to exceed cost)?

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**irspow****Member**- Registered: 2005-11-24
- Posts: 457

R - C = P (Profit)

So you want to know when;

R-C>0

37x - 19x - 10135 > 0

18x - 10135 > 0

18x > 10135

x > 563.05555...

x = 564

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,603

... and if they sell 564 this is the result:

Cost = 19x + 10,135 = 19 × 564 + 10,135 = 20,851

Revenue = 37x = 37 × 564 = 20,868

Profit = 20,868 - 20,851 = $17

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ineedhelp****Member**- Registered: 2006-01-21
- Posts: 7

Dang. Looks so easy now. Hard to see why I didn't see it myself. Thanks for the help.

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