Problema Solution

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

Answer provided by our tutors

if the profit is the function


p(x) = - 25^2 + 300x, where x is the number of clerks


the more clerks work the bigger the profit so


the maximum number of clerks allowed will maximize the profit


if x -> infinity the maximum possible profit will p(x) -> infinity.