# Thread: Solve the problem

1. ## Solve the problem

If the cost, $\displaystyle C(x)$, for manufacturing $\displaystyle x$ units of a certain product is given by $\displaystyle C(x)=x^2-60x+13500$, find the number of units manufactured at a cost of $17500. 2. Basically it's asking how many units you manufactured if it costed you$17500, i.e. C(x) = 17500:
$\displaystyle 17500 = x^{2} - 60x + 13500$
$\displaystyle 0 = x^{2} - 60x - 4000$

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

3. Originally Posted by mt_lapin
If the cost, $\displaystyle C(x)$, for manufacturing $\displaystyle x$ units of a certain product is given by $\displaystyle C(x)=x^2-60x+13500$, find the number of units manufactured at a cost of $17500. Solve$\displaystyle 17500 = x^2 - 60x + 13500 \Rightarrow 0 = x^2 - 60x - 4000$and round to the whole number you think best answers the question ...... 4. Man, I hope the answer is 100! 5. Well, plug it back in to see if it works out:$\displaystyle C(100) = (100)^{2} - 60(100) + 13500 = 10000 - 6000 + 13500 = 17500\$

Is that what you wanted? Yes.