SOLUTION: a company finds that it can make a profit of P dollars each month by selling x patterns, according to the formula P(x)=-0.002x^2+3.5x-800. how many patterns must it sell each month

Algebra ->  Finance -> SOLUTION: a company finds that it can make a profit of P dollars each month by selling x patterns, according to the formula P(x)=-0.002x^2+3.5x-800. how many patterns must it sell each month      Log On


   



Question 1174045: a company finds that it can make a profit of P dollars each month by selling x patterns, according to the formula P(x)=-0.002x^2+3.5x-800. how many patterns must it sell each month to have a maximum profit ?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Maximum profit is when x=-b/2a in the quadratic or -3.5/-0.004=875
P(875)=$731.25
P(874)=$731.248
P(876)=$731.248
graph%28300%2C300%2C-100%2C1000%2C-1000%2C800%2C-0.002x%5E2%2B3.5x-800%29