Set up linear program and explain Suppose you are helping lo create a student sc

Question

Set up linear program and explain Suppose you are helping lo create a student schedule for a peer tutoring lab. The need for service fluctuates during work hours (8 a.m. to 5 p.m). The minimum number of students needed is 2 between 8 a.m - 10 a.m., 3 between 10 a.m. and 11 a.m., 4 between 11 a.m and 1 p.m and 3 between 1 p.m. and 5 p.m. Each student is allotted 3 consecutive hours (except for those starting at 3 p.m. who work for 2 hours, and those who start at 4 p.m. who work for one hour) Because of their flexible schedules, the student workers can usually report to work at any hour during the work day, except that no student worker wants lo start working at lunch time (noon). Determine the minimum number of students the department should employ and specify the time of the day at which they should each report to work. Complete this problem as follows: Set up a linear programming model for this scenario so that the number of students is minimized. Make sure you define your variables well, and create your model in a clear and complete manner. Solve your model on Undo. Interpret your results: Give a complete and practical interpretation of your results ( state it in a way that your non-technical colleagues will understand) Put all results into a single file as stated in the directions at the top of the page.

Explanation / Answer

Number of students

Time Slot

2

8-10

3

10-11

4

11-1pm

3

1-5pm

Variables:

StartHour

FinishHour

SlotPerStudent

StudentWorker

Number of students

Time Slot

2

8-10

3

10-11

4

11-1pm

3

1-5pm

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