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The sum of a number and three times another number is 18. Find the number if their product is a maximum.

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Joe

  1. x + 3y = 18
    z = xy = (18-3y)(y) = 18y-3y^2
    This is just a parabola with vertex (maximum value) at y=3

    so, x=9, y=3

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    Steve

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