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Math Help - [SOLVED] Optmization - Cost

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    [SOLVED] Optmization - Cost

    Question: A rectangular storage container is to have a volume of 10 meters cubed. The length of the base is twice the width. Material for the base costs $10 per square meter. Material for the sides and top costs $6 per square meter. Find the cost of the materials for the cheapest such container. ANS: $191.28

    So I have A = 40w^2 + 36wh and V = 2w^2h

    Then rearranging V to get h = 10/2w^2

    What am I doing incorrectly? I subbed h into the A equation and solved dA/Dw equal to zero. . . 0 = 80w - 180w/w^2

    I got w = 1.5 and h = 20/9
    Last edited by millerst; April 7th 2009 at 04:21 PM.
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  2. #2
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    Never mind, I figured this out...
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