SOLUTION: A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P = -25x2 + 500x. Wha

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P = -25x2 + 500x. Wha      Log On


   

Question 483284: A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P = -25x2 + 500x. What number of clerks will maximize the profit?
Answer by mathstutor494(120) About Me  (Show Source):
You can put this solution on YOUR website!
P = -25x^2 + 500x.
Differentiating and equating to zero
dP/dx = -50x+500 = 0
50x=500
x=10