Solve the problem

**mt_lapin** · March 30th 2008, 07:15 PM

If the cost, $C(x)$ , for manufacturing $x$ units of a certain product is given by $C(x)=x^2-60x+13500$ , find the number of units manufactured at a cost of $17500.

**o_O** · March 30th 2008, 07:50 PM

Basically it's asking how many units you manufactured if it costed you $17500, i.e. C(x) = 17500:
$17500 = x^{2} - 60x + 13500$
$0 = x^{2} - 60x - 4000$

Solve the quadratic and take the solution that makes most sense.

**mr fantastic** · March 30th 2008, 07:51 PM

Originally Posted by mt_lapin

If the cost, $C(x)$ , for manufacturing $x$ units of a certain product is given by $C(x)=x^2-60x+13500$ , find the number of units manufactured at a cost of $17500.

Solve $17500 = x^2 - 60x + 13500 \Rightarrow 0 = x^2 - 60x - 4000$ and round to the whole number you think best answers the question ......

**mt_lapin** · March 30th 2008, 07:53 PM

Man, I hope the answer is 100!

**o_O** · March 30th 2008, 08:08 PM

Well, plug it back in to see if it works out:
$C(100) = (100)^{2} - 60(100) + 13500 = 10000 - 6000 + 13500 = 17500$

Is that what you wanted? Yes.

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