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 Equations and Parabolas -> 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 1033492: 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 robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
You can the production level that will maximize profit by using the formula for x that maximize P(x): x%5Bmax%5D+=+-b%2F%282a%29+=+-150%2F%282%2A-0.0003%29+=+250000 units.