`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+300x. What number of clerks will maximize the profit, and what is the maximum possible profit?

Question

`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+300x.  What number of clerks will maximize the profit, and what is the maximum possible profit?

Henry · Answer

The max. point is the vertex: Xv = -B/2A = -300 / -50 = 6 Clerks. P = Yv = -25*6^2 + 300*6 = $900 = Max. profit.