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A rancher wants to fence in an area of 2000000 square feet in a rectangular field...

A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. Suppose that that the fence for the outer part of the rectangle costs $7 per foot, while the cost of the “dividing” fence down the middle costs $4 per foot. What is the least amount of money the rancher can spend on the fence, and what dimensions for the fence will achieve that lowest cost?

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