SOLUTION: Suppose that the equation p(x) = -5x^2 + 600x +100 (where x represents the number of items sold), describes the profit function for a certain business. How many items should be sol

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Suppose that the equation p(x) = -5x^2 + 600x +100 (where x represents the number of items sold), describes the profit function for a certain business. How many items should be sol      Log On


   

Question 635426: Suppose that the equation p(x) = -5x^2 + 600x +100 (where x represents the number of items sold), describes the profit function for a certain business. How many items should be sold to maximize the profit?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

p(x) = -5x^2 + 600x +100 = 

p(x) = -5(x-60)^2 + 18100  |Completing the Square,   Vmax = (60,18100)

 at 60 units sold, profit is at a maximum