SOLUTION: the total profit P on the production and sale of x compact disk if given by P(x)=-x^2+980x-3000. how many disk must be produced to maximize profits. what is the maximum profit?

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Question 547767: the total profit P on the production and sale of x compact disk if given by P(x)=-x^2+980x-3000. how many disk must be produced to maximize profits. what is the maximum profit?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the total profit P on the production and sale of x compact disk if given by P(x)=-x^2+980x-3000. how many disk must be produced to maximize profits. what is the maximum profit?
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Max occurs when x = -b/(2a) = -900/(2*-1) = 450
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Max profit is P(450) = -(450)^2 + 980*450 - 3000 = $235,500
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Cheers,
Stan H.