Problem 1 From you visits to the local post office, you observe that on average, there are 25 customers in the queue and it generally takes a customer 5 minutes from arriving at the post office to getting the service and leave. What can you say about the processing rate in that office based on these observations? Problem 2 You are asked to perform capacity analysis for a local clinic. The current resources of the clinic are as follows: You are also given the following information: - All patients need to register with the receptionist before they can see a nurse/doctor. The average waiting time at the reception desk is 3 minutes. - On average, 20% of the incoming patients are considered to have only minor problems that can be handled by nurses. The remaining 80% are given appointments to see a primary care provider. - The average consultation time with a nurse is 15 minutes. After diagnosis by a nurse, 25% of the patients are asked to see a primary care provider for further diagnosis. - An appointment with a primary care provider lasts 30 minutes, on average. After check up by a primary care provider, 10% of the patients are referred to a dermatologist, 15% are referred to the diabetes care center, and the rest 75% either don't need further referral or are referred to an outside hospital. The average consultation time with the dermatologist is 45 minutes. It takes 40 minutes, on average, for diagnosis at the diabetes care center. - Assume that a typical work day is 10 hours. Based on the above information, answer the following questions. a. What is the capacity of each resource in terms of number of patient arrivals/day? Which resource is the bottleneck? What is the total system capacity in terms of number of patient arrivals/day? b. The clinic is planning to hire 2 additional units for the bottleneck resource. How will this impact the system capacity? What resources are the new bottlenecks