Problema Solution
Maximum profit. 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 function P = -25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
Answer provided by our tutors
The profit function is given as
p=-25x^2+300x
the derivative will be
dp/dx=-50x+300
Put dp/dx=0
-50x+300=0
X=6
Profit is -25(6*6)+300(6)
Which is 1800
the number of clerks are 6 and maximum profit is 900