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Math Help - Use Lagrange multipliers to find the dimensions of a rectangular box

  1. #1
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    Talking Use Lagrange multipliers to find the dimensions of a rectangular box

    Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is a constant c.
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  2. #2
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    So you want to maximize f(x, y, z) = xyz with the constraint that g(x, y, z) = 4x + 4y + 4z = c.

    Now use <\frac{\delta f}{\delta x}, \frac{\delta f}{\delta y}, \frac{\delta f}{\delta z}> = \lambda<\frac{\delta g}{\delta x}, \frac{\delta g}{\delta y}, \frac{\delta g}{\delta z}>
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