The bank is working to develop an efficient work schedule for time and part-time bilers. The schedule mu pride for efficient persion of the bank, induding adeg 9.00 A.M. to 7:00 PM. The number of telles necessary to provide adequate On ridays, the bank each hour of operation is suremated here Time No. of Tellers Time 9:00a.m. 10:00 4 200 3100 m. 10:00am-11100 m 2 3:00 pm 4:00 pm 11:00a.m.Noon 4:00 pm 5:00p.m. Noon-1:00 pm 5:00p.m.6:00 pm 8:00 pm-7:00p.m. 6:00p.m..7:00 pm Each time employee starts on the hour and works a chur followed by a 1 hour break and the mployees work one how being on the hout considering salary and tribes, time m e bank 15 per hour ($10 a day) and part-time employees is the bank per hour (132 per day (2) Formulate an integer programming model that can be used to develop a schedule customer service de p loyee count: LR x umber of some employees coming on duty at the beginning of hour number of part-time employees coming on dy at the beginning of hour) If your answer weer andere constant must be entered in the box M 105 106 105 32 32 Yo + 32 ni 32 3 3 3 323 SLI 9.00- 11.00 + + Oyuz OY+Ono 2 4 Time 9:00 am 10:00 am) 19+ XO X1 + 19 1710 On orion on 2 Time (10.00 -19:00 am 1 x 1 10 111 + 1 + 1 + 1 + 12+ OM + O2 + 2 Tona (100 ) 1.X10 + Irino 12 Onionon me ( -1,00 pr.) 09 110 + + Yon 1 Yona 2 1-9 + DD + OYO 1 n on Time (2:00 -300 m.) 1 + 10 + 11O rie 1 Y + 2 1 2 1 - 1 O. M o Yo + Time (4.0 -5:00pm.) 01- 01 or. 10.11+ + YO+ on.in O and Integer for 9, 10, 11 and = 9, 10, 11, 12, 1, 2, 3 (10 .2.00 () Solve the R ain of your model in partla). 20 na 4 Total Cost 1) Solve for the optimal schedule of tellers If your answer is zero antero No. of Pull-time of Part-time employees employees 9:00 am-10.00. 10:00 am 1100 11:00 .-Noor Noon-1:00 pm 1:00 22:00 2.0 pm-3:00 pm 3-00 400 4100 5:00 pm Comment on the c) Mereviewing the solution to put the bank manage employees Revise your model to incorporate these d d er who d that some a r e must be specified al regiments, and move for the promo tion were No. of Pull-time No. of Part-time employee employees 2.00 3.00 3:00 400 m. 400 m 5.00p.m. 500 pm - 6:00 PM 7:00 pm Then the bo r de bereid out G) Aer reviewing the solution to part them that someone must be species employees. Revise your model to incorporate these detonal requirements, and solve for the optimal solution required, round your answers to the nearest whole number. If your newer is rentro The new optimal solution is as follows No. of Pull-time No. of Part-time employees employees