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Example: Textile Manufacturing at Great Threads . The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets. Each type of clothing

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Example: Textile Manufacturing at Great Threads . The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets. Each type of clothing requires that Great Threads have the appropriate type of machinery available. The machinery needed to manufacture each type of clothing must be rented at the weekly rates shown in the following table. This table also lists the amounts of cloth and labor required per unit of clothing, as well as the sales price and the unit variable cost for each type of clothing. In a given week, 4000 labor hours and 4500 square yards (sq yd) of cloth are available. The company wants to find a solution that maximizes its weekly profit. Rental Cost Labor Hours Cloth (sq yd) Sales Price Unit Variable Cost Shirts $1500 2.0 3.0 $35 $20 Shorts $1200 1.0 25 $40 $10 Pants $1600 6.0 40 $65 $25 Skirts $1500 4.0 45 $70 $30 Jackets $1600 8.0 5.5 $110 $35 Refer to the second example (textile manufacturing) in lecture notes, the optimal profit ($54,614) is obtained when the company produces 965.52 shorts and 379.31 jackets. If everything else remains the same. but the company has to produce at least 100 shirts, what is the maximum profit now? 49512 50890 53105 54914

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