SOLUTION: Sharon's revenue R(in dollars) on the sales of x fruitcakes is determined by the fomula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the fomula C=2x+40.

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Question 123335: Sharon's revenue R(in dollars) on the sales of x fruitcakes is determined by the fomula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the fomula C=2x+40.What value of x is Sharon's profit positive?
Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
Sharon's revenue R(in dollars) on the sales of x fruitcakes is determined by the fomula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the fomula C=2x+40.What value of x is Sharon's profit positive?
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Profit is positive when Revenue > Cost
INEQUALITY:
50x-x^2 > 2x+40
48x-x^2 > 40
x^2-48x+40 < 0
0.84< x < 47.15
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Cheers,
Stan H.