SOLUTION: A chain store manager has been told by the main office that the daily profit, P, is related to the number of clerks working that day,x, according to the function P = -25x^2 + 3

Question 691277: A chain store manager has been told by the main office that the 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 by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The minus in front of the term
means there is a max and not a min.

Set to find roots
the roots are

---------

-----------
The x-coordinate of the maximum
is midway between the roots

So is the maximum
Now find at

With 6 clerks working that day, there is
a maximum profit of $900
here's a plot:

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