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Math Help - Profit Maximization

  1. #1
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    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????!?!?!?
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  2. #2
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    Quote Originally Posted by Pixie11711 View Post
    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 P w/r to s , then set P'(s) = 0 and solve for the critical values of s ... finally, determine which (if any) of those critical values yields a maximum for P(s) by using the first or second derivative test for extrema.
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