The Education Department announces the conduct of the Summer Training Program for Teachers, with the aim of enhancing the knowledge, skills and attitude of teachers in terms of learning area content and pedagogies. The program will run for 8 weeks during July and August and will be conducted in the State University. Training participants come in batches for a 1-week training, during which time they live in the State Apartelle. At the end of a week, a new batch of teachers comes in. Lisa works as the Laundry Supervisor in the State Apartelle. She is in charge of arranging for sheets for the beds the participants will sleep on in the apartelle. Lisa has been instructed to develop a plan for purchasing and cleaning sheets each week of training at the lowest possible cost. Clean sheets are needed at the beginning of each week, and the particiants use the sheets all week. At the end of the week, the sheets are stripped off the beds and placed in large bins. Lisa must arrange either to purchase new sheets or to clean old sheets. A set of new sheets costs P600. A local laundry has indicated that it will clean a set of sheets for P240. Also, a couple of student friends of Lisa have offered to clean some of the sheets. They offer to charge only P120 for each set of sheets they clean. However, while the laundry will provide cleaned sheets in a week, Lisa's friends can deliver cleaned sheets only in 2 weeks. They are going to summer school and plan to launder the sheets at night at a neighborhood Laundromat. The accompanying table lists the number of participants who have registered during each of the 8 weeks the training program will operate. Based on discussions with housekeeping administrators that handled previous training programs and on some old records and receipts, Lisa estimates that each week about 20% of the cleaned sheets that are returned will have to be discarded and replaced. Food and drinks get spilt on the sheets, and sometimes the stains do not come out during cleaning. Occasionally the sheets get torn at the cleaners. In either case, when the sheets come back from the cleaners and are put on the beds, 20% are taken off and thrown away. At the beginning of the summer, the apartelle has no sheets available, so initially sheets must be purchased. Week Registered Training Participants 1 58 2 105 N 3 125 4 115 5 130 6 150 7 125 8 95 Lisa wants to develop a plan for purchasing and cleaning sheets by using linear programming. Help Lisa formulate a linear programming model for this problem and solve it by using the computer