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A farmer wants to fence in a rectangular pict of land adjacent to the north...

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Calculus

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A farmer wants to fence in a rectangular pict of land adjacent to the north wall of his bar. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fending costs $10 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most aren. (Enter the dimensions as a comma separated list.)

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