SOLUTION: A local elementary school is taking orders for a craf they will make. After calculating the cost of supplies the profit associated with making the craft is represented by P(x)=-x^

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Question 170398: A local elementary school is taking orders for a craf they will make. After calculating the cost of supplies the profit associated with making the craft is represented by P(x)=-x^2+130x-3000, where x represents the number of crafts sold and P represents the profilt. Determine the number of orders that could be acepted in order to make a profit. (Give the entire interval of solutions where a profit would be made)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the profit associated with making the craft is represented by P(x)=-x^2+130x-3000, where x represents the number of crafts sold and P represents the profilt. Determine the number of orders that could be acepted in order to make a profit.
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Determine when P is > 0
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Solve -x^2+130x -3000 = 0
-(x^2-130x+3000) = 0
(x-30)(x-100) = 0
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Profit interval: 30 < x < 100
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Cheers,
Stan H.