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Math Help - another optimization question

  1. #1
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    another optimization question

    1) A rectangle study area is to be enclosed by a fence and divided into two equal parts, with a fence running along the division parallel to one of the sides. If the total area is 384ft^2, find the dimenstions of the study area that will minimize the total length of the fence. How much fence will be required?

    let = total length of fence



    ...



    someone told me to find and minimize
    so do I just set this equation to 0 and ..?

    thank you
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  2. #2
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    Your work is correct.

    Yes. First find, \frac{dF}{dW}, then set that equal to zero to find a critical point (a potentially optimized value for) W

    If you need further assistance, please provide your value for \frac{dF}{dW}.
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  3. #3
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    Quote Originally Posted by n0083 View Post
    Your work is correct.

    Yes. First find, \frac{dF}{dW}, then set that equal to zero to find a critical point (a potentially optimized value for) W

    If you need further assistance, please provide your value for \frac{dF}{dW}.

    I got 786/w^2 +3
    Is this right?
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  4. #4
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    Quote Originally Posted by inhae772 View Post
    I got 786/w^2 +3
    Is this right?
    close, -786/w^2 +3 (because the exponent of the w in the first term is -1)
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