SOLUTION: A company that manufactures mountain bikes makes a daily profit p according to the equation p=-200^2+8800x-94,062, where p is measured in dollars and x is the number of mountain bi

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Question 1080721: A company that manufactures mountain bikes makes a daily profit p according to the equation p=-200^2+8800x-94,062, where p is measured in dollars and x is the number of mountain bikes made per day. Find the number of mountain bikes that must be made each day to produce a zero profit for the company.
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
I'm assuming your equation is really,

You can factor,

So when,

Then,

Rounding up to 26.
and

Rounding down to 18.
.
.
.
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Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
-200x^2+8800x-94062=100x^2-4400x+47031, dividing both sides by -2
x=(1/200)*(4400+/- sqrt (19360000-400*47031); sqrt term is 547600=740
x=(1/200)(4400+/-740)=5140/200 or between 25 and 26; 3660/200 or between 18 and 19. There are two answers, showing that above a certain number, it will again become a loss.