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Math Help - Minimizing Cost

  1. #1
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    Minimizing Cost

    An offshore oil well is 2 km off the coast. The refinery is 4 km down the coast. Laying pipe in the ocean is twice as expensive as on land. What path should the pipe follow in order to minimize the cost? How is the distance found exactly?
    Last edited by Joewild; December 13th 2009 at 07:12 PM.
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  2. #2
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    Distance (C)=2√(4+x^2 )+(4-x)
    Dc/Dx=2(1/2)(√(4+x^2 ))(2x)+ (4-x)
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