Question: Problem 5 (15 points) Consider a system with 4 queues for Machines 1, 2, 3, and 4 in series. A job visits Machine 1, Machine

Problem 5 (15 points) Consider a system with 4

Problem 5 (15 points) Consider a system with 4 queues for Machines 1, 2, 3, and 4 in series. A job visits Machine 1, Machine 2, Machine 3, and Machine 4 and then leaves the system. The system has roughly 360 jobs arriving per hour. On average, jobs spend 5 minutes in Machine 1, 3 minutes in Machine 2, 4 minutes in Machine 3, and 2 minutes in Machine 4. (All times include waiting time and time in service.) (a) (5 points) Is utilization of each machine below one? Why or why not? (Please include your reasoning clearly in the written solution.) (b) (8 points) What are the average numbers of jobs in Machines 1, 2, 3, and 4 respectively (including those in the queue and in service)? (c) (2 points) What is the average (total) number of jobs in the system

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