Introduction Example 1 Gandhi Cloth Company is capable of manufacturing three types of clothing:shirts,shorts,and pants.The manufacture of each type of clothing requires that Gandhi have the appropriate type of machinery available.The machinery needed to manufacture each type of clothing must be rented at the following rates:shirt machinery,$200 per week; shorts machinery,$150 per week;pants machinery,$100 per week.The manufacture of each type of clothing also requires the amounts of cloth and labor shown in the left table.Each week,150 hours of labor and 160 sq yd of cloth are available.The variable unit cost and selling price for each type of clothing are shown in the right table. Formulate an IP whose solution will maximize Gandhi's weekly profits. Resource Reguirements lor Gandhi Reveue ad Costtrmatioor Gandhi Clothing Labor Cloth Clothing Salea Variable Hours】 (Square Yards) Type Price (S] Co时(S) Shirt 4 Shirt 12 6 Shorts 2 Shorts Pants 6 Pants 15 )Q0 Xi Chen (chenxi0109@bfsu.edu.cn) Integer Programming 5/42Introduction Example 1 Gandhi Cloth Company is capable of manufacturing three types of clothing: shirts, shorts, and pants. The manufacture of each type of clothing requires that Gandhi have the appropriate type of machinery available. The machinery needed to manufacture each type of clothing must be rented at the following rates: shirt machinery, $200 per week; shorts machinery, $150 per week; pants machinery, $100 per week. The manufacture of each type of clothing also requires the amounts of cloth and labor shown in the left table. Each week, 150 hours of labor and 160 sq yd of cloth are available. The variable unit cost and selling price for each type of clothing are shown in the right table. Formulate an IP whose solution will maximize Gandhi’s weekly profits. Xi Chen (chenxi0109@bfsu.edu.cn) Integer Programming 5 / 42