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?

Question

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?

Henry · Answer

X = -B/2A = -150/-0.0006 = 25,000 Units.