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 ->  Equations -> 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 899402: 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 ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
completing the square:
P(X)=-0.0003X^2+150X-375000 = -.0003(x-250,000)^2 - 375000 + 18,750,000
x = 250,000 yields a maximum profit