SOLUTION: A web-based company makes monogrammed napkins. The profit associated with producing x orders of napkins is governed by the equation: P(x)=-x^2 + 130x -3000 Determine the rang

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Question 930228: A web-based company makes monogrammed napkins. The profit associated with producing x orders of napkins is governed by the equation:
P(x)=-x^2 + 130x -3000
Determine the range of orders the company should accept in to make a profit.
I attempted to solve this problem using the Quadratic Formula. My results were x= -25 and x= 150. The solution given: 30

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A web-based company makes monogrammed napkins. The profit associated with producing x orders of napkins is governed by the equation:
P(x)=-x^2 + 130x -3000
Determine the range of orders the company should accept in to make a profit.
I attempted to solve this problem using the Quadratic Formula. My results were x= -25 and x= 150. The solution given: 30
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P(x) = -(x-30)(x-100)
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Ans: 30 < x < 100
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Cheers,
Stan H.
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