e Northside Bank is working to develop an effclent work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank, including adequate cust pen from 9:00 A.M. to 7:00 R.M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. ach full-time employee starts on the hour and works a 4-hour shilt, followed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour, 0 ak $15 per hour ( $105 a day); and part-time employees cost the bank $8 per hour ( $32 per day). 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: Let x in = number of full-tin 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 be entered in the box. (b) Solve the LP 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 teliers. EMer the total number of full-time and part-time employees required. If your answer is zero enter " 0 ". Toral Number of Full-Time Emplayees: Toral Number of Part-Time Employees: (d) Atter reviewing the solution to part (c), the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure that one full-time employee is time employees. Revise your model to incorporate these additional requirements, and solve for the optimal solution. Enter the total number of full-time and part-time employees require 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: 4 The Northside Eank is working to develop an elficient work schedule for ful-time and part-lime tellers. The schedule must provide for efficient optration of the Bank; including adequate open from 9:00 A.M, to 7:00 PM. The namber of tellers necessary to provide odequate customer service during each hour of operation is summarited here. Each full-bime employee starts on the hour and wbeks a 4-hour shift, follbwed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4 -hour shift beginning on the houc, 6 bank 315 per hour ( $105 a day), and pert-time emplojees cost the bank ss per heur ( $32 per doy). (a) Fermulate an intger programming model that cen be used to develop a schesule that will satiafy customer strvice needs at a minimum employee copt. (Hint: Let xp; = fumber of full-eim namber of part-time employees coening on duty at the beginning of hour f.). If vour answer is zero eoter " 9 " and 8 the constant is " 2" it must be entered in the bex. full-time and part-time tellers. The schedule must provide for efficiont operation of the bank, inctuding adequate customier service, erniloyee bereaks, and se on. On Fridays, the bank is ovide adequate customer service during each hour of operation is summarized bere. lomed by a t-hour bresk and then a 3-hour shift. Part-time employens work one 4hour shit beginning on the hour. Considering salary and fringe benefits, full-time employees cost the s 18 per hour (532 per day), loo a schroule that will sabisty cuktomer servioe needs at a minimum employee cost. (Hint: Let x a number of fulltime employees coming on duty at the beginning of hour I and y = heur 3 . x,y)0 and intege for i=9,10,11 and y=9,10,11,12,1,2,3 Solve the 2 R Relaxation of your modet in part (a). Enter the tatal cost value under the optimal solution. Total Cott: 1 Solve for the optimal schedule of teileis. Enter the total number of full-time and part-time employees required, If your ancwer is zero enter " ? Total Number of fulltime Eimplayees: Fotal Number of Part-7ime tmployees: Afer reviewing the salution to part (c), the bank mansger realized that some adgitisnal reeuirements must be seeified. Specificaly, she wants to ensure that one full-time empioyee is an is time emplovees. Aevise your model to incorporate these additional requirements, and solve for the optimal solution, Enter the total bumber of full-time and part time empiovees required an Hr required, round yeur answers to the nearest whole number. If yeur answer is zere enter "0. Total Number of fullitime Employees: Total Number of Part-Time Employees: focal Cost: 1 e Northside Bank is working to develop an effclent work schedule for full-time and part-time tellers. The schedule must provide for efficient operation of the bank, including adequate cust pen from 9:00 A.M. to 7:00 R.M. The number of tellers necessary to provide adequate customer service during each hour of operation is summarized here. ach full-time employee starts on the hour and works a 4-hour shilt, followed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour, 0 ak $15 per hour ( $105 a day); and part-time employees cost the bank $8 per hour ( $32 per day). 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: Let x in = number of full-tin 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 be entered in the box. (b) Solve the LP 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 teliers. EMer the total number of full-time and part-time employees required. If your answer is zero enter " 0 ". Toral Number of Full-Time Emplayees: Toral Number of Part-Time Employees: (d) Atter reviewing the solution to part (c), the bank manager realized that some additional requirements must be specified. Specifically, she wants to ensure that one full-time employee is time employees. Revise your model to incorporate these additional requirements, and solve for the optimal solution. Enter the total number of full-time and part-time employees require 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: 4 The Northside Eank is working to develop an elficient work schedule for ful-time and part-lime tellers. The schedule must provide for efficient optration of the Bank; including adequate open from 9:00 A.M, to 7:00 PM. The namber of tellers necessary to provide odequate customer service during each hour of operation is summarited here. Each full-bime employee starts on the hour and wbeks a 4-hour shift, follbwed by a 1-hour break and then a 3-hour shift. Part-time employees work one 4 -hour shift beginning on the houc, 6 bank 315 per hour ( $105 a day), and pert-time emplojees cost the bank ss per heur ( $32 per doy). (a) Fermulate an intger programming model that cen be used to develop a schesule that will satiafy customer strvice needs at a minimum employee copt. (Hint: Let xp; = fumber of full-eim namber of part-time employees coening on duty at the beginning of hour f.). If vour answer is zero eoter " 9 " and 8 the constant is " 2" it must be entered in the bex. full-time and part-time tellers. The schedule must provide for efficiont operation of the bank, inctuding adequate customier service, erniloyee bereaks, and se on. On Fridays, the bank is ovide adequate customer service during each hour of operation is summarized bere. lomed by a t-hour bresk and then a 3-hour shift. Part-time employens work one 4hour shit beginning on the hour. Considering salary and fringe benefits, full-time employees cost the s 18 per hour (532 per day), loo a schroule that will sabisty cuktomer servioe needs at a minimum employee cost. (Hint: Let x a number of fulltime employees coming on duty at the beginning of hour I and y = heur 3 . x,y)0 and intege for i=9,10,11 and y=9,10,11,12,1,2,3 Solve the 2 R Relaxation of your modet in part (a). Enter the tatal cost value under the optimal solution. Total Cott: 1 Solve for the optimal schedule of teileis. Enter the total number of full-time and part-time employees required, If your ancwer is zero enter " ? Total Number of fulltime Eimplayees: Fotal Number of Part-7ime tmployees: Afer reviewing the salution to part (c), the bank mansger realized that some adgitisnal reeuirements must be seeified. Specificaly, she wants to ensure that one full-time empioyee is an is time emplovees. Aevise your model to incorporate these additional requirements, and solve for the optimal solution, Enter the total bumber of full-time and part time empiovees required an Hr required, round yeur answers to the nearest whole number. If yeur answer is zere enter "0. Total Number of fullitime Employees: Total Number of Part-Time Employees: focal Cost: 1