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A hardware store packages handyman bags of screws, bolts, nuts, and washers. Screws come in 100-lb boxes and cost $110 each, bolts come in 100-lb boxes and cost $150 each, nuts come in 80-lb boxes and cost $70 each, and washers come in 30-lb boxes and cost $20 each. The handyman package weighs at least 1 lb and must include, by weight, at least 10% screws and 25% bolts, and at most 15% nuts and 10% washers. To balance the package, the number bolts cannot exceed the number of nuts or the number of washers. A bolt weights 10 times as much as a nut and 50 times as much as a washer. Formulate the LP model to determine the optimal mix of the package.
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