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Problem 3 A hardware store packages handyman bags of screws, bolts, nuts, and washers. Screws come in 100-16 boxes and cost $120 each, bolts come in 100-1b boxes and cost $175 each, nuts come in 80-16 boxes and cost $75 each, and washers come in 30-16 boxes and cost $25 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 of bolts cannot exceed the number of nuts or the number of washers. A bolt weighs 10 times as much as a nut and 50 times as much as a washer. The goal is to minimize the cost. Formulate this problem as an LP model