Thread: Profit Maximization

The profit (P) (in thousands of dollars) for a company spending an amount s (in thousands of dollars on advertising is: P = -1/10s^3 + 6s^2 + 400.

Find:

A.) The amount of money the company should spend on advertising in order to obtain a maximum profit.

B.) The maximum Profit.


I am stuck on this problem and I have to have it submitted soon. Can anyone help me????!?!?!?

Originally Posted by Pixie11711

The profit (P) (in thousands of dollars) for a company spending an amount s (in thousands of dollars on advertising is: P = -1/10s^3 + 6s^2 + 400.

Find:

A.) The amount of money the company should spend on advertising in order to obtain a maximum profit.

B.) The maximum Profit.


I am stuck on this problem and I have to have it submitted soon. Can anyone help me????!?!?!?

find the derivative of w/r to , then set and solve for the critical values of ... finally, determine which (if any) of those critical values yields a maximum for by using the first or second derivative test for extrema.