Flu Shot: Suppose that School of Business Administration is considering offering the students the opportunity to get a flu vaccine ('flu shot'). The school is considering setting up the operation for just one day during the lunch hour. For a preliminary analysis, consider the following simplified description of the proposed operation: a total of 600 students will arrive at the cafeteria during the 12:00 Noon to 1:00 PM lunch hour. The students will arrive uniformly over time with no variability. No student will show up either before or after the lunch hour. Since 20% of the students have never had a flu shot, they first must go to a nurse practitioner for a quick review of their medical history. After this review, they then join a line waiting for vaccination by a doctor. The remaining 80% go straight to the line waiting for vaccination. (It is assumed that all the students will receive the vaccine.) There are 3 nurse practitioners available to review medical histories. Each nurse practitioner can review a student's medical history in 2 minutes. There are 4 doctors giving the vaccinations. It takes only 30 seconds for a doctor to vaccinate a student. All students who show up within the lunch hour will be served, even if that means the review and/or vaccinations must continue past 1:00 PM. Question: 1. How many students will come every minute during lunch hour (this is the arrival rate)? Question: 2. How many students can be handled every minute by the medical history review station of three nurse practitioners (this is the capacity rate of review station)? Question: 3. How many students can be handled every minute at the vaccination station of four doctors (this is the capacity rate of the vaccination station)? Question: 4. What is the maximum build-up of students at the nurse-practitioner review? Show the continuous inventory buildup diagram at the review station. Question: 5. What is the longest waiting time at the nurse-practitioner review station? Question: 6. At what time will the line at the review station be empty? Question: 7. At what time will the vaccination line be empty? Show the continuous inventory buildup diagram at the vaccination/doctor station. (Note that this doesn't mean all students have been vaccinated. It only means that there is no longer a line of students waiting for vaccination by a doctor. There may still be unvaccinated students at the nurse's station!)