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Q2) Currently in a service location, there are 4 servers each able of processing 9 customers/hour. customers arrive at a rate of 40 customers per hour. Interarrival times and service times are exponentially distributed. The service cost is $10 and waiting cost is $7. They are considering three options. Option #1: Hire 2 more servers. The service cost is $10 and waiting cost is $7. Option #2: Invested in training programs for the current 4 workers that made the workers serve on average 14 customers per hour. The service cost is $15 and waiting cost is $7. Option #3: Divided the current system into 4 sub-system. Each sub-system has one server with system capacity of 8 customers. Any customer arriving with 8 customers in the system will not enter the system. Invested in training programs for the current 4 workers that made the workers serve on average 12 customers per hour. The service cost is $13 and waiting cost is $7. a) For all the three situations (current, option #1, and option #2), what is the notation for each system? b) For all the three situations, is the system stable? why? c) Compare the three systems based on their characteristics. d) Compare the three systems based on their Costs. e) What is the probability that 7 people are in the system? (for each system if applicable) f) Rank the systems based on your recommendation? why