SOLUTION: Hello I need to solve the following problem: A company uses the function: C(x) = 2x2 – 40x + 250 to model the cost of producing x units. How many units must be made to minimiz

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hello I need to solve the following problem: A company uses the function: C(x) = 2x2 – 40x + 250 to model the cost of producing x units. How many units must be made to minimiz      Log On


   

Question 6194: Hello
I need to solve the following problem:
A company uses the function: C(x) = 2x2 – 40x + 250 to model the cost of producing x units. How many units must be made to minimize the cost?
Thanks much
Mhunter
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
C%28x%29+=+2x%5E2+%96+40x+%2B+250+
if the cost is minimized, then it will equal zero:
0+=+2x%5E2+%96+40x+%2B+250+
divide both sides by 2:
0=x%5E2-20x%2B125
factor:
%28x%2B5%29%28x-25%29
x=-5 or 25
since we are talking about producing an item, we cannot produce negative items, so we can discard the -5 answer.
costs will be minimized if 25 units or more are produced.