Question 1: You have been recently hired by Bank X to help with their operations. They are planning to open a new branch at the city center as their customer base is growing. There are multiple ideas on how to set up the operations there. Following plan is on the table at the moment: Customers arrive at a rate of 50 per hour, take a queue number and wait. Once their turn comes, the clerk greets them and asks the reason of their visit. As all transactions include a fee, then they are diverted to the cashier. 40% of the transactions end here and the customer leaves the system. On the other hand, 60% of the customers need to talk to a bank associate and then leave the system. After that they also leave the system. Based on the graph and information above, please answer the following questions: a) By treating each service point as a separate queuing system, calculate the number of people in the system for each individual step and also for the whole branch. b) Calculate the time in system for each individual step and also for the whole branch. c) Calculate the utilization rates for each step. Question 1: You have been recently hired by Bank X to help with their operations. They are planning to open a new branch at the city center as their customer base is growing. There are multiple ideas on how to set up the operations there. Following plan is on the table at the moment: Customers arrive at a rate of 50 per hour, take a queue number and wait. Once their turn comes, the clerk greets them and asks the reason of their visit. As all transactions include a fee, then they are diverted to the cashier. 40% of the transactions end here and the customer leaves the system. On the other hand, 60% of the customers need to talk to a bank associate and then leave the system. After that they also leave the system. Based on the graph and information above, please answer the following questions: a) By treating each service point as a separate queuing system, calculate the number of people in the system for each individual step and also for the whole branch. b) Calculate the time in system for each individual step and also for the whole branch. c) Calculate the utilization rates for each step