de 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 :00 A.M. to 7:00 PM. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. No. of Tellers Time No. of Tellers -10:00 a.m. 6 2:00 p.m.-3:00 p.m. 6 1.-11:00 a.m. 4 3:00 p.m-4:00 p.m. 4 1.-Noon 8 4:00 p.m.-5:00p.m. 7 0p.m. 10 5:00 p.m.-6:00 p.m. 6 --2:00 p.m. 9 6 6:00 p.m.-7:00p.m. aime 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-hou per hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). mulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost of ber of part-time employees coming on duty at the beginning of hour ).) our answer is zero enter"0" and if the constant is "i' it must be entered in the box X9+ X10 + V10+ 712 + X11+ Y9 Y1+ X + X1 + Y Vio 12+ Vt X10 + Y- Y10 + 12 - Y+ X X11 Y+ Vio 12+ + 9- XO Vio YE+ V2 *10 X1 Vio + 12 XIO V 10 - Y+ 10- Y Y: 712 + x9 X + Y+ Y10 Yu V12 Xio Y9+ 10+ V11 10 ers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and so on. On Fridays, the bank is ervice during each hour of operation is summarized here. la 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 sty customer service needs at a minimum employee cost. (Hint: Letx: - number of full-time employees coming on duty at the beginning of hour / and y- Y12 Y: Y + y Vit Vi Y2+ Y Select your answer VS1 Yu2 Yi Time (9:00 am - 10:00 a.m.) Time (10:00a.m. 11:00a.m.) Select your answer - 712 YE Time (11:00 am Noon) V + Select your answer Select your answer Viz > 12 V Time (Noon1:00 pm) Time (1:00-2:00) Select your answer Select your answer Yu VI- Vui PE Time (2:00 pm100 m) YL Select your answer Time 100 pm 4:00 pm) Yi Y Select your answer Time (4:00 5:00 pm) o e E HD X9+ X10 + Y9+ Y10+ Y+ V12 + Yi+ X9 + X10 + X11 + Y10+ 911 + V12+ Yi + XY, 20 and integer for 1 - 9, 10, 11 and 1 - 9, 10, 11, 12, 1, 2, 3 (b) solve the LP Relaxation of your model in part (a). Enter the total cost value under the optimal solution, Total Cost: (c) Solve for the optimal schedule of tellers. Enter the total number of full-time and part-time employees required. If your answer is zero enter"0" Total Number of Full-Time Employees: Total Number of Part-Time Employees: (d) After reviewing the solution to part (e), the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure employees. Revise your model to incorporate these additional requirements, and solve for the optimal solution. Enter the total number of full-time and par If required, round your answers to the nearest whole number. If your answer is zero enter "0" Total Number of Full-Time Employees: Total Number of Part-Time Employees: Total Cost: $ 11+ Y1 + Y2+ ya Select your answer Time (5:00p.m.-6:00 p.m.) V12 + Yuz + Y11 + V1 + Y2+ Ya Select your answer Time (6:00 pm - 7:00 p.m.) olution. oyees required. ments must be specified. Specifically, she wants 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 ptimal solution, Enter the total number of full-time and part-time employees required and the total cost under the revised optimal solution. Check My Work de 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 :00 A.M. to 7:00 PM. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. No. of Tellers Time No. of Tellers -10:00 a.m. 6 2:00 p.m.-3:00 p.m. 6 1.-11:00 a.m. 4 3:00 p.m-4:00 p.m. 4 1.-Noon 8 4:00 p.m.-5:00p.m. 7 0p.m. 10 5:00 p.m.-6:00 p.m. 6 --2:00 p.m. 9 6 6:00 p.m.-7:00p.m. aime 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-hou per hour ($105 a day), and part-time employees cost the bank $8 per hour ($32 per day). mulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost of ber of part-time employees coming on duty at the beginning of hour ).) our answer is zero enter"0" and if the constant is "i' it must be entered in the box X9+ X10 + V10+ 712 + X11+ Y9 Y1+ X + X1 + Y Vio 12+ Vt X10 + Y- Y10 + 12 - Y+ X X11 Y+ Vio 12+ + 9- XO Vio YE+ V2 *10 X1 Vio + 12 XIO V 10 - Y+ 10- Y Y: 712 + x9 X + Y+ Y10 Yu V12 Xio Y9+ 10+ V11 10 ers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and so on. On Fridays, the bank is ervice during each hour of operation is summarized here. la 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 sty customer service needs at a minimum employee cost. (Hint: Letx: - number of full-time employees coming on duty at the beginning of hour / and y- Y12 Y: Y + y Vit Vi Y2+ Y Select your answer VS1 Yu2 Yi Time (9:00 am - 10:00 a.m.) Time (10:00a.m. 11:00a.m.) Select your answer - 712 YE Time (11:00 am Noon) V + Select your answer Select your answer Viz > 12 V Time (Noon1:00 pm) Time (1:00-2:00) Select your answer Select your answer Yu VI- Vui PE Time (2:00 pm100 m) YL Select your answer Time 100 pm 4:00 pm) Yi Y Select your answer Time (4:00 5:00 pm) o e E HD X9+ X10 + Y9+ Y10+ Y+ V12 + Yi+ X9 + X10 + X11 + Y10+ 911 + V12+ Yi + XY, 20 and integer for 1 - 9, 10, 11 and 1 - 9, 10, 11, 12, 1, 2, 3 (b) solve the LP Relaxation of your model in part (a). Enter the total cost value under the optimal solution, Total Cost: (c) Solve for the optimal schedule of tellers. Enter the total number of full-time and part-time employees required. If your answer is zero enter"0" Total Number of Full-Time Employees: Total Number of Part-Time Employees: (d) After reviewing the solution to part (e), the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure employees. Revise your model to incorporate these additional requirements, and solve for the optimal solution. Enter the total number of full-time and par If required, round your answers to the nearest whole number. If your answer is zero enter "0" Total Number of Full-Time Employees: Total Number of Part-Time Employees: Total Cost: $ 11+ Y1 + Y2+ ya Select your answer Time (5:00p.m.-6:00 p.m.) V12 + Yuz + Y11 + V1 + Y2+ Ya Select your answer Time (6:00 pm - 7:00 p.m.) olution. oyees required. ments must be specified. Specifically, she wants 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 ptimal solution, Enter the total number of full-time and part-time employees required and the total cost under the revised optimal solution. Check My Work