Math
posted by Jennifer on .
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?

if you know Calculus ....
dP/dx = 50x + 300 = 0 for a max of P
x = 6
P= 25(36) + 300(6) = 900
otherwise complete the square ....
P = 25(x^2  12x + 3636)
= 25( (x6)^2  36)
= 25(x6)^2 + 900
same as above