SOLUTION: The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic function P(X)=-0.0003X2+150X-375000 where X is the number of units produced. What product

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic function P(X)=-0.0003X2+150X-375000 where X is the number of units produced. What product      Log On


   

Question 955409: The profit P ( in dollars) for a manufacturer of sound systems is given by the quadratic function P(X)=-0.0003X2+150X-375000 where X is the number of units produced. What production level will yield a maximum profit?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The profit P (in dollars) for a manufacturer of sound systems is given by the quadratic function P(X)= -0.0003X2+150X-375000 where X is the number of units produced. What production level will yield a maximum profit?
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Vertex occurs when x = -b/(2a) = -150/(2*-0003) = 250,000
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Using my TI-84 I get::
Ans: Max = P(250,000) = 1.84x10^7
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Cheers,
Stan H.
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