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Math Help - another Functions help need please?

  1. #1
    Dec 2009

    another Functions help need please?

    A company advertises on Radio and TV for its product. the profit based on these advertisement has been
    determine in 1000 is as P(x,y)=-2x^2-xy-y^2+8x+9y+10
    where x is the amount spent on Radio and y is the amount spend on TV respectively. How much money should
    be spent on both advertisement to maximize the profit?

    Note: not-homework
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  2. #2
    Senior Member
    Jan 2010
    The maximum profit occurs where the gradient equals zero, or in other words, where both the partial derivative wrt x and the partial derivative wrt y are zero at the same time.

    Knowing this, can you solve this problem?
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