The Northside Bank is working to develop an efficient work schedule for full-time and part-time tellers. The schedule must provide for efficient opera 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 summarize 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 bank $15 per hour ( $105 a day), and part-time employees cost the bank $8 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 emplo number of part-time employees coming on duty at the beginning of hour ).) 1f unur anewier it sarn enter " 0 " and if the constant is " 1 " it must be entered in the box. xi,yi0 and integer for i=9,10,11 and j=9,10,11,12,1,2,3 \begin{tabular}{|c|c|c|c|c|c|c|} \hline (rurd 00:cx & +u & + & +214 & \\ \hline (curd 00:g-wd 00:5) oul1 & Q - Lamsue tnok popas - & a) & +u & & +214 & \\ \hline (curd 00:s'urd 00:t) owil & o- damsue inok pajas - & G & +2x & & & \\ \hline (rurd 00: p-rurd 00:c) aull & O- tamsue ino k popas - & ck & +u & +M & +24x & +tLC \\ \hline (wod 00:erw-d 00:z) aull & c- tamsue dno K pajas - & ck & +24 & & +24 & +rk \\ \hline (w'd 00:z'u'd 00:t) aul & o- tamsue ano pajos - & ca & +2x & & +24 & +TH \\ \hline ('w-d 00:t-'voON) aLII & o- Jamsue anoK popas - & & +4 & & & \\ \hline ('voON-W-e 00:th) WIL & 0 - tamsue tno K poples - & 4x & +4 & +2A & +211 & +tis \\ \hline ("we 00:1t-we 00:0t) aul 1 & o- tamasue uno K pajes - & & & +1K & & \\ \hline (w'v 00:0t-'w'e 00:6) oun1 & o- Lamsue ano A paps - & A & +21 & +TH & & \\ \hline & & cA & +24 & +M & & \\ \hline \end{tabular} (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 (c), the bank manager realized that some additional requirements must be specified. Specifically, she v employees. Revise your model to incorporate these additional requirements, and solve for the optimal solution. Enter the total number of 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: $ hust be specifed. Specifically, she wants to ensure that one full-time emplovee is on duty at all times and that there is a stalf of at least six full-time olution. Enter the total number of fult-time and part-time employees required and the total cost under the revised optimal solution