Question: Help me with the following linear programming problem AereoCA is going to add new flights, so you need to hire more customer service employee. However,
Help me with the following linear programming problem AereoCA is going to add new flights, so you need to hire more customer service employee. However, it is unclear how many more you should hire. Management recognizes the need to control cost and at the same time permanently provide a satisfactory level of service. For all this, an IO team studies how to program agents to provide a satisfactory service with the lowest cost in personnel. An analysis has been conducted of the minimum number of customer service employees that must be on call at different times of the day to provide a satisfactory level of service. The agreement is that each agent works an 8 hour shift 5 days a week, and the authorized shifts are
Shift 1: 6:00 a.m. at 2:00 p.m. Shift 2: 8:00 a.m. at 4:00 p.m. Shift 3: 12:00 a.m. (noon) at 8:00 p.m. Shift 4: 4:00 p.m. at 12 p.m. (midnight) Shift 5: 10:00 p.m. at 6:00 a.m.
The marks in the main body of the table show the hours covered by the respective shifts. Since some shifts are less desirable than others, the wages specified in the contract differ from one to the other. The last line shows the daily compensation with benefits for each agent for each shift. The problem is determining how many officers should be assigned to the respective shifts each day to minimize the total cost of personnel.
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