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tejasree

  • 3 years ago

A farmer has 336 ft of fencing and wants to build two identical pens for his prize-winning pigs. The pens will be arranged as shown. Determine the dimensions of a pen that will maximize its area.

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  1. tejasree
    • 3 years ago
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    |dw:1354506861516:dw|

  2. petewe
    • 3 years ago
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    Fencing = 3x + 4y 336 = 3x + 4y Area = 2xy A = 2xy x = (336-4y) / 3 A = 2[(336-4y)/3] y Find dA/dy and equate to 0. solve for y.

  3. tejasree
    • 3 years ago
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    I dont understand this part: x = (336-4y) / 3 A = 2[(336-4y)/3] y Find dA/dy and equate to 0. solve for y.

  4. petewe
    • 3 years ago
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    i rearranged the fencing equation in terms of x and subbed it into the area equation. find the derivative of A with respect to y. make it equal 0. solve for y. sub y into original equation and solve for x.

  5. tejasree
    • 3 years ago
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    I dont know deriatives yet!

  6. tejasree
    • 3 years ago
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    pls help me! I have to study for my final exam!!!

  7. petewe
    • 3 years ago
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    instead of taking the derivative, find the vertex of the quadratic equation.

  8. tejasree
    • 3 years ago
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    ok! I will try and call for you when I dont get it!

  9. petewe
    • 3 years ago
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    the x value of your vertex will be y

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