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Question 1: Bottleneck analysis Consider an operation that processes two types of jobs, called type A and type B, and has only two processing resourcesyou may think of these as operators. The input rates, routing, and average processing times for the two job types are shown in the gure below. 1. What is the long-run average utilization of the two processing resources if a type A job arrives every 4.5 hour on average and those of type B at every 5 hours on average. 2. The rst question suggests that the system can sustain higher arrival rates that 1/45 and 1/5 respectively. Suppose the two types of jobs are in equal quantities in the input mix (i.e., 50%) each. What is the capacity of the process and which resource is the bottleneck? How does the answer change if the mix is 60% for input A and 40% for input B? 3. What do you think the utilization of the resources will be if jobs of type A arrive every 4.5 hours and those of type B every 3.5 hours (yes, 3.5 this is not a typo)? Arrivals of type A jobs i mean mean mean processing processing processing time 2.0 time 1.9 lime 0.1 resource 1 mean mean mean resource processing processing processing 2 time 0.1 time 1.9 time 2-0 Arrivals of type B jobs