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Max area

  1. Oct 28, 2004 #1
    What are the dimensions of a rectangular plot with maxium area if the north and south sides cost twice as much to fence as the east and west sides and if you have $1000 to spend? East and west sides cost $10 per meter to fence.
     
  2. jcsd
  3. Oct 28, 2004 #2

    arildno

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    Dearly Missed

    Let "x" be the length in the eastern direction, "y" the length in the northern direction.

    Hence, the total cost satisfies:
    10*(2x)+20*(2y)=1000
    Or:
    x=50-2y

    You are to maximize x*y
     
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