Question: To help students with homework and to answer students' doubts in your operations management course planning to start a help desk every saturday staffed by

To help students with homework and to answer students' doubts in your operations management course planning to start a help desk every saturday staffed by your instructor .The working time of the help desk starts from 11:00 am to 7:00 pm. Statistics show that students arrive at a rate of four per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS. Show work for each.

1. Calculate the percentage utilization of the instructor

2.Calculate the average number of students in the system, excluding the instructor service.

3.Calculate the average time in the system.

4.Calculate the probability of four or more students being in line or being served.

5. Before a test, the arrival of students increases to six per hour, on average. What will the new average line length be?

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