Use SIMIO for the following problems. Unless otherwise specified $--$ results should be reported in text or a readable pivot table, and all results that involve time units should be reported in minutes.

Question $1$: $(10$ points$)$

A: Consider an office where people come to get their driver's licenses. The process involves three steps for arriving applicants $---$ reception, a vision exam, and a written exam. Assume that applicants' arrivals are Poisson with a rate of $6$ per hour $($i$.$e$.,$ inter$-$arrival times are exponentially distributed with a mean of $10$ minutes$).$ The processing time distributions for the three processes are given in Table $1$ below. The office has one person responsible for reception and one person responsible for administering the vision exarns. The written exam is computer$-$based, and there are three computer stations where applicants can take the exam. Developra Simio model of this system. Assume that the office opens at $9$:$00$ a$.$m$.$ and closes at $5$:$00$ p$.$m$.,$ use Path to link objects $($instead of Connectors$),$ and the distance between objects is $10$ meters long $($set drawn to scale false$).$ The performance metrics of interest include the time $($in minutes$)$ that applicants spend in the system. the utilizations of both office employees and the computer stations, and the average and maximumbers of applicants in the reception queue, the vision exam queue, and the written exam queue for $1000$ replications $($highlight these results$).$

Table $1$: Processing time parameters.

Process

Reception

Vision exam

Written exama. In general, how many replications should be run for an experiment in order to be confident about the simulation results? How do you make the decision? Discuss your answer. For example, is $1000$ replications above good enough? Why or why not?