The daily production costs P (in dollars) for a manufacturer of sound systems is given by the quadratic function.

Question

P(x)= -0.003x^2+150x-375,000
Where x is the number of units produced. What production level will yield a maximum profit?

Answer 1

as with all parabolas, the vertex (in this case a maximum) is at

p = -b/2a = 150/.006