Posted by **stacii** on Wednesday, November 18, 2009 at 10:24am.

The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?

- math -
**drwls**, Wednesday, November 18, 2009 at 10:41am
I suppose you mean f(x) = 14x - 0.2x^2.

Please use an ^ before exponents.

The function has a maximum value where the derivative is zero.

f'(x) = 14 - 0.4 x = 0

x = 14/.4 = 35

If you don't know differential calculus yet, you can get the same result by "completing the square", but it takes longer, espcially with decimals involved.

- math -
**allen**, Saturday, December 5, 2009 at 12:12pm
Determine whether the system is consistent, inconsistent, or dependent.

3x + 2y = 15

6x + 4y = 30

- math -
**Tony**, Sunday, March 11, 2012 at 7:49pm
inconsistent

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