Question

If the cost, C, for manufacturing x units of a certain product is given by C=x²-10x+65, find the number of units manufactured at a cost of $12,140.

There are_____manufactured at a cost of $12,140.

Answer 1

115

Explanation:

You solve this by factoring.

12140 = x^2-10x+65

0 = x^2-10x-12075

0=(x+105)(x-115)

The only positive solution is x=115