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Math Help - Profit maximization

  1. #1
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    Profit maximization

    Been on this problem for over an hour please help,

    I keep getting my derivative at -.12x^2-10.8x-1200
    with zeros at -154.659, 64.659 I dont know if thats right though

    here is the question:

    If C(x) = 13000 + 400x - 0.6x2 + 0.004x3 is the cost function and p(x) = 1600 - 6x is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)
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  2. #2
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    P(x)=Revenue function - cost funtion

    Take the derivative and set equal 0
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  3. #3
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    I did that but I get -.12x^2-10.8x-1200=0 which doesnt do anything for me
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  4. #4
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    What is your revenue function?
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