PART II The North Shore Bank is working to develop an efficient work schedule for full-time and part-time tellers. The s

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Part Ii The North Shore Bank Is Working To Develop An Efficient Work Schedule For Full Time And Part Time Tellers The S 1 (114.57 KiB) Viewed 11 times

PART II The North Shore Bank is working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank, including adequate customer service and employee breaks. The bank is open from 9:00 a.m. to 7:00 p.m. The number of tellers necessary to provide adequate customer service during each hour of operation is as follows: Time 9:00 a.m.-10:00 a.m. 6 No. of Tellers 10:00 a.m.-11:00 a.m. 4 11:00 a.m.-Noon Noon–1:00 p.m. 8 10 1:00 p.m. -2:00 p.m. 9 2:00 p.m.-3:00 p.m. 6 3:00 p.m.-4:00 p.m. 4 4:00 p.m.-5:00p.m. 7 5:00 p.m.-6:00 p.m. 6 6:00 p.m.-7:00 p.m. 6 Each full-time employee starts on the hour and works a 4-hour shift, followed by a 1- hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour. Considering salary and fringe benefits, full-time employees cost the bank $15 per hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). The bank manager also needs to ensure that one full-time employee is on duty at all times and that there is a staff of at least five full-time employees. Develop an integer linear optimization model to determine how many of each type of employee should start working at each of the 10 hours of operation. Hint: use 3 integer decision variables for full-time employees (1 variable for each start hour 9, 10, and 11), and 7 integer decision variables for part-time employees (1 variable for each start hour 9, 10, 11, 12, 1, 2, and 3).