SOLUTION: The profit from selling coffee cups is given by P(x) = -0.20x^2 + 672x - 50,000, where x is the number of cups sold. How many cups should be sold to maximize profit?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The profit from selling coffee cups is given by P(x) = -0.20x^2 + 672x - 50,000, where x is the number of cups sold. How many cups should be sold to maximize profit?      Log On


   

Question 1048392: The profit from selling coffee cups is given by P(x) = -0.20x^2 + 672x - 50,000, where x is the number of cups sold. How many cups should be sold to maximize profit?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
P(x) = -0.20x^2 + 672x - 50,000 Parabola OPening Downward -.2 < 0
P' = -.40x + 672
-.40x + 672 = 0
x = 672/.4 = 1680, How many cups should be sold to maximize profit