The Northide Bank is working to develop an efficient wark schedule for full-time and part-time tellers. The schledule must provide for efficient operation of the be open from 9:00 A.M. to 7:00 P.M. The number of tellers necessary to orovide adequate customer service during each hour of operation is summarized here. Each full-time employee starts on the hour and works a 4-hour shift, followed by a t-hour break and then a 3-hour shift. Part-time employees work one 4-hour s 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 employee cost. (Hinf number of part-time employees coming on duty at the beginning of hour f.) If your answer is zero enter " 0 " and if the constant is " 1 " it must ha antararl in ohn haw tellers. The schedule must provide for efficient operation of the bank, including adequate customer service, employee breaks, and sa on. On Fridays, the bank is er service during each hour of operation is summarized here. fk and 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 day), Batisfy customer service heeds at a minimum employee cost. (Hint: tet xg= number of full-time employees coming on duty at the beginning of hour 1 and y ) = (b) Solve the tP Relaxation of your model in part (a). Enter the total cost value under the optimal solution. Total Cost: 1 (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 70; Total Number of full-Time Empioyees: 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 wants to ensure th time employees, Revise your model to incorporate these additional requirements, and solve for the optimal solution. Finter the total number of full-time and If required, round your answers to the nearest whole number. If your answer is zero enter "o", Totai Number of Futl-Time Employees: Total Number of Part-Time Eimpioyees: Total Costi mal solution. employees required. quirements must be specified, Specifically, she wants to ensure that one full-time employee is on duty at ail times and that there is a staff of at least sax fuile for the optimal solution. Enter the total number of full-time and part-time employees required and the total cost under the revised optimal solution. " 0