A farmer has 3 farms to grow 3 crops. The farms are 500, 800, and 700 acres, and the water allocation for each farm is 600, 800, and 375 acre-feet, respectively.
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The crops suited for this region include sugar beets, cotton and corn. These crops differ primarily in their expected net return per acre and their consumption of water.
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The USDA has set a maximum quota for the total acreage that can be devoted to each of these crops. Each crop can be devoted to any of the 3 farms, but at least 50% of each farm must be used. Formulate the problem to maximize the net return.