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 = -25x^2 + 450x. Wh

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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 = -25x^2 + 450x. Wh      Log On


   

Question 635228: 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 = -25x^2 + 450x. What number of clerks will maximize the profit?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

y = ax^2 + bx + c   ⇒ y = a(x -(-b/2a)^2) - a(-b/2a)^2 + c

P = -25x^2 + 450x.    |  Note: -450/(2*-25) = 9

P= -25(x-9)^2 + 2025

  9 cleks will maximize the daily profit at $2025