SOLUTION: Cost Equation Use the cost equation to find the number of units (x) that a manufacturer can produce for the cost (C). Round your answer to the nearest positive integer. C= 0.5x^2

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Question 180630: Cost Equation
Use the cost equation to find the number of units (x) that a manufacturer can produce for the cost (C). Round your answer to the nearest positive integer.
C= 0.5x^2 + 15x + 5000 C=$11,500
I have been stuck on this question for a couple days now. Can you please help me? I don't even know where to start!Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You want to find x so that C(x)=11500.
C%28x%29=0.5x%5E2%2B15x%2B5000=11500
0.5x%5E2%2B15x-6500=0
x%5E2%2B30x-13000=0
In other words, find the zeros of this quadratic equation and you'll have your solution.
You can factor this equation or use the quadratic formula to solve it.
%28x%2B130%29%28x-100%29=0
We'll only solve for the positive solution since the negative solution in this case doesn't make sense.
x-100=0
highlight%28x=100%29