Question: The 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,
The 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, includ 7:00 P.M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. Time No. of Tellers Time No. of Tellers 2:00 p.m.-3:00 p.m. 9:00 a.m. 10:00 a.m. 10:00 am - 11:00 a.m. 3:00 pm - 4:00 p.m. 4:00 p.m.-5:00 p.m. 11:00 a.m.-Noon Noon-1:00 p.m. 1:00p.m. 2:00 pm 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00p.m. 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 hours hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). XI, Y 20 and integer for i = 9, 10, 11 and j = 9, 10, 11, 12, 1, 2, 3 (b) Solve the LP Relaxation of your model in part (a). If required, round your answers to the nearest whole number. If your answer is zero enter "0". Total Cost: $ 672 (c) Solve for the optimal schedule of tellers. If your answer is zero enter "0". No. of Full-time No. of Part-time employees employees Time 9:00 a.m.-10:00 a.m. 10:00 a.m.-11:00 a.m. u 11:00 a.m.-Noon v Noon-1:00p.m. 1:00p.m.-2:00p.m. 2:00 p.m.-3:00 p.m. 3:00 p.m.4:00 p.m. 4:00 p.m.-5:00p.m. v 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00p.m. (d) After reviewing the solution to part (c), the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure the Revise your model to incorporate these additional requirements, and solve for the optimal solution If required, round your answers to the nearest whole number. If your answer is zero enter"0" The new optimal solution is as follows: No. of Full-time No. of Part-time employees employees Time 9:00 a.m.-10:00 a.m. 1 10:00 a.m.-11:00 a.m. 11:00 a.m.-Noon Noon-1.00p.m. 1:00 p.m. -2:00 p.m. 2:00 p.m.-3:00 p.m. 3:00 p.m.-4:00 p.m. 4:00 p.m.-5:00p.m. 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00p.m. Total Cost: $ 9093 The 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, includ 7:00 P.M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. Time No. of Tellers Time No. of Tellers 2:00 p.m.-3:00 p.m. 9:00 a.m. 10:00 a.m. 10:00 am - 11:00 a.m. 3:00 pm - 4:00 p.m. 4:00 p.m.-5:00 p.m. 11:00 a.m.-Noon Noon-1:00 p.m. 1:00p.m. 2:00 pm 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00p.m. 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 hours hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). XI, Y 20 and integer for i = 9, 10, 11 and j = 9, 10, 11, 12, 1, 2, 3 (b) Solve the LP Relaxation of your model in part (a). If required, round your answers to the nearest whole number. If your answer is zero enter "0". Total Cost: $ 672 (c) Solve for the optimal schedule of tellers. If your answer is zero enter "0". No. of Full-time No. of Part-time employees employees Time 9:00 a.m.-10:00 a.m. 10:00 a.m.-11:00 a.m. u 11:00 a.m.-Noon v Noon-1:00p.m. 1:00p.m.-2:00p.m. 2:00 p.m.-3:00 p.m. 3:00 p.m.4:00 p.m. 4:00 p.m.-5:00p.m. v 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00p.m. (d) After reviewing the solution to part (c), the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure the Revise your model to incorporate these additional requirements, and solve for the optimal solution If required, round your answers to the nearest whole number. If your answer is zero enter"0" The new optimal solution is as follows: No. of Full-time No. of Part-time employees employees Time 9:00 a.m.-10:00 a.m. 1 10:00 a.m.-11:00 a.m. 11:00 a.m.-Noon Noon-1.00p.m. 1:00 p.m. -2:00 p.m. 2:00 p.m.-3:00 p.m. 3:00 p.m.-4:00 p.m. 4:00 p.m.-5:00p.m. 5:00 p.m.-6:00 p.m. 6:00 p.m.-7:00p.m. Total Cost: $ 9093