The West 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 bank, including adequate customer service, employee breaks, and so on. On Fridays, the bank is 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 summarized here.

Time	No. of Tellers	Time	No. of Tellers
9:00 a.m.-10:00 a.m.	6	2:00 p.m.-3:00 p.m.	6
10:00 a.m.-11:00 a.m.	4	3:00 p.m.-4:00 p.m.	4
11:00 a.m.-Noon	8	4:00 p.m.-5:00 p.m.	7
Noon-1:00 p.m.	10	5:00 p.m.-6:00 p.m.	6
1:00 p.m.-2:00 p.m.	9	6:00 p.m.-7:00 p.m.	6

(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. 

(b) Solve the LP Relaxation of your model in part (a). If required, round your answers to the nearest whole number.

(c) Solve for the optimal schedule of tellers.

(d) After 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 on duty at all times and that there is a staff of at least five full-time employees. Revise your model to incorporate these additional requirements, and solve for the optimal solution. If required, round your answers to the nearest whole number. The new optimal solution is as follows: I have tried the answers I have found from other posts and some are correct and others are not. Could someone please help me solve this.

Answer rating: 100% (QA)

a Formulation of the integer programming model is shown below ... View the full answer