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, includin 9:00 AM to 7:00 PM. 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 9:00 a.m.-10:00 a.m. 2:00 p.m.-3:00p.m. 10:00 am-11:00 am 3 3:00 p.m.-4:00p.m. 11:00 a.m.-Noon 4:00 p.m.-5:00p.m. Noon-1:00 p.m. 5:00 pm - 6:00 pm 1:00 p.m.-2:00 pm 6:00 p.m.-7:00 pm 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 shirt Part-time employees work one 4 hour shi bank $15 per hour (5105 a day), and part-time employees cost the bank 58 per hour ($32 per day) (a) Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: number of part-time employees coming on duty at the beginning of hour.) If your answer is zero enter"0" and if the constant is "1" it must be entered in the box. Min X10 Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: number of part-time employees coming on duty at the beginning of hour.) If your answer is zero enter"0" and if the constant is "1" it must be entered in the box. Min and integer for 9, 10, 11 and ) = 9, 10, 11, 12, 1, 2, 3 X, Y and integer for i = 9, 10, 11 and ) = 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: $ Comment on the solution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (d) After reviewing the solution to part (c), the bank manager realized that some additional requirements must be s employees. 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 "O". 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. 10:00 a.m.-11:00 a.m. 11:00 a.m.-Noon Noon-1:00 p.m. 1:00 p.m. -2:00 p.m. 2:00 p.m.-3:00p.m. 3:00p.m.-4:00p.m. 4:00 p.m.-5:00p.m. gage.com/ilm/takeAssignment tassignment 13 Assignment (Prescriptive Analytics) 11:00 a.m.-Noon Noon-1:00 p.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: $ 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, includin 9:00 AM to 7:00 PM. 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 9:00 a.m.-10:00 a.m. 2:00 p.m.-3:00p.m. 10:00 am-11:00 am 3 3:00 p.m.-4:00p.m. 11:00 a.m.-Noon 4:00 p.m.-5:00p.m. Noon-1:00 p.m. 5:00 pm - 6:00 pm 1:00 p.m.-2:00 pm 6:00 p.m.-7:00 pm 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 shirt Part-time employees work one 4 hour shi bank $15 per hour (5105 a day), and part-time employees cost the bank 58 per hour ($32 per day) (a) Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: number of part-time employees coming on duty at the beginning of hour.) If your answer is zero enter"0" and if the constant is "1" it must be entered in the box. Min X10 Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. (Hint: number of part-time employees coming on duty at the beginning of hour.) If your answer is zero enter"0" and if the constant is "1" it must be entered in the box. Min and integer for 9, 10, 11 and ) = 9, 10, 11, 12, 1, 2, 3 X, Y and integer for i = 9, 10, 11 and ) = 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: $ Comment on the solution. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (d) After reviewing the solution to part (c), the bank manager realized that some additional requirements must be s employees. 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 "O". 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. 10:00 a.m.-11:00 a.m. 11:00 a.m.-Noon Noon-1:00 p.m. 1:00 p.m. -2:00 p.m. 2:00 p.m.-3:00p.m. 3:00p.m.-4:00p.m. 4:00 p.m.-5:00p.m. gage.com/ilm/takeAssignment tassignment 13 Assignment (Prescriptive Analytics) 11:00 a.m.-Noon Noon-1:00 p.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: $