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March 29, 2017

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A farmer with 3000 feet of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?

  • intermediate algebra - ,

    Area = A x B
    Total length = 3000 = A + 2B
    B = (3000-A)/2 so,
    Area = A x (3000-A)/2 =
    = 3000A/2 - (1/2)A^2
    take 1st derivative
    0 = 1500 - A and solve for A
    A = 1500 and B = 750

  • intermediate algebra - ,

    2345

  • intermediate algebra - ,

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