A chain store manager hs been told by the main office that daily profit, P, as related to the number of clerks working that day, x, according to the functions P=-25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?

Question

A chain store manager hs been told by the main office that daily profit, P, as related to the number of clerks working that day, x, according to the functions P=-25x^2 + 300x.  What number of clerks will maximize the profit, and what is the maximum possible profit?

Henry · Answer

P = -25x^2 + 300x. h = Xv = -B/2A = -300/-50 = 6 Clerks. P = k = Yv = -25*6^2 + 300*6 = $900