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

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.
.
.
.
.

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.

RELATED QUESTIONS
A company manufactures mountain bikes. The research department produces the following... (answered by ikleyn)
A small business manufactures stickers. Past data indicates that the company's monthly... (answered by edjones)
A company manufactures both mountain bikes and trail bikes. The cost of materials for a... (answered by ankor@dixie-net.com)
A company manufactures both mountain bikes and trail bikes. The cost of materials for a... (answered by amoresroy)
A chain store manager has been told by the main office that daily profit, P, is related... (answered by solver91311)
A chain store manager has been told by the main office that daily profit, P, is related... (answered by BrittanyM)
a chain store manager has been told by the main office that daily profit P is related to... (answered by longjonsilver)
The daily profit P in dollars of a company making tables is described by the function... (answered by josgarithmetic)
A chain store manager has been told by the main office that daily profit, P, is related... (answered by ewatrrr)