The decisions variables for our problem will be x (the number of full time employees) and y1,y2,y3,y4,y5 (the part time labor force that arrives to work at 9, 10, 11, 12, 13 hundred hours respectively)

Our objective is to minimize the labor force cost for the bank. Referring to the provided data, the cost of each full time employee is 75 euros a day, while the cost of a part time worker 24. If we define as z the total labor cost, our objective will be to minimize it, and the relative function would be in the form of: Z(min)= 75x+24(y1+y2+y3+y4+y5)

The bank needs a total of 112 working hours per day in order to operate. The constraints here are that the part time employees can work only 4 hours per day each and their total hours can¡¯t be more than 50% of the total working hours required by the bank. Thus the maximum hours part time employees can work is 56 hours per day.

11 to 12 o¡¯clock constraint is: 0.5*x+y1+y2+y3¡Ý14

4-5 PM needs 10 $K$14>=10 Binding 0

12 Full-timers X¡Ü12 10 Not Binding 2

10-11 AM needs X+y2+y3¡Ý12 17 Not Binding 5

Some topics in this essay:
, Status Slack, Solution Timers, None Tellers, Solution Using, 1 1, 1 1 1, 1 0, 1 1 0, o¡¯clock constraint, binding 0, tellers arrive, 24 24, 10 11, 9 10, 24 24 24, 11 12, cost bank, minimum manpower cost, 9 10 11,