Question

The cost c(x) for manufacturing x units for a certain product is given by C(x)=x^2-12x+50, find the number of units manufactured at a cost of 9500.

Answer 1

So they give you C(x) = 9500, right? And they want to know x...

So you can use 9500 in place of C(x) in the equation given.

Answer 2

and solve 9500= x^2-12x+50?

Answer 3

yes.

Answer 4

it doesn't look easy to factor... probably need quadratic formula.

Answer 5

simplify first though... get the 9500 over to the right side of the equation by subtracting 9500 from both sides.

Answer 6

6±3√(1054)

Answer 7

yeah... ugly numbers, aren't they?

The one with the subtraction will be a negative value for x, which doesn't make any sense in this problem... they can't produce a negative number of units.

So, you want the positive value for x.

Answer 8

There would be 2 solutions if this was just a math problem, but as a real-world problem, you can only keep the solutions that make sense.