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anonymous

  • 4 years ago

A farmer will make a rectangular pen with 100 feet of fence using part of his barn for one side of the pen. What is the largest area he can enclose?

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  1. anonymous
    • 4 years ago
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    100/4=25*25=625

  2. anonymous
    • 4 years ago
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    I know the answer, but i need the work. Answer is 1250

  3. anonymous
    • 4 years ago
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    is that the actual answer?

  4. anonymous
    • 4 years ago
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    The perimeter: 2(x + y) = 100 + x The area: x * y = area 2x + 2y = 100 + x 2y = 100 + x - 2x y = 50 - 0.5x x * (50 - 0.5x) = area -0,5x^2 + 50x = area First derivative: -x + 50 Solve for x: x = 50 So y must be: 2x + 2y = 100 + x 2 * 50 + 2 * y = 100 + 50 100 + 2y = 150 2y = 50 y = 25 Test drive: x * y = 50 * 25 = 1250

  5. anonymous
    • 4 years ago
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    The first derivative is used for finding maximum point(s).

  6. anonymous
    • 4 years ago
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    Thanks :D

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