An office that dispenses automotive licenses plates has divided its customers into categories to level the office workload. Customers arrive and enter one of three linesbased on their residence location. Model this arrival activity as three independent arrival streams using an exponential interarrival distribution with a mean 10 minutes for each stream, and a first creation time 0 for each stream.

Processing Line: Each customer type is assigned a single queue for each. The service time is UNIF(8,10) minutes for all customer types.

Plates Line: After completion of the processing step, all customers are sent to a single, second clerk who checks the forms and issues the plates (this clerk serves all three customer types, who merge into a single first-come, first-served queue for this clerk). The service time for this activity is UNIF(2.66,3.33) minutes for all customer types.

Develop an Arena model of this system and run it for 50 replications of 600 minutes; observe the average and maximum time in system for all customer types combined. Add animation of this process into your model.

a. What is the average time in the system for all customer types? b. What is the maximum time in the system for a customer? c. Which process appears to be the bottleneck in the system based on your assessment of waiting and utilization? Enter either Processing or Plates as your answer.