polyester clothing company can make 3 types of clothing, shirts, shorts, and pants using 1500 4. (15 pts) Each week the yards of cloth and 1600 hours of labor. The manufacture of each type of clothing gives a certain profit per item produced, requiring labor and cloth for each item produced, and if any of one type of clothing is produced then a certain rental cost for the ap propriate machinery is required as given in the table. Formulate an integer programming problem for obtaining the optimal I production schedule for maximizing the company's profit from the production of clothing. Labor Cloth Profit Rental Cost $6 $150 3 $4 $200 | 57 | $100 4 Shirts Shorts 3 Pants Available 1500 1600 5 4