Question $2(15$ points$)$: In this exercise, you are to execute a discrete event simulation by hand to re$-$populate Table $3\mathrm{.}2$ from the course textbook $($Banks et al$.,2010,$ p$.103),$ except that you will use the interarrival durations and service durations shown below. You should also schedule the end event as indicated below. You can omit the line of simulation trace where the CLOCK is equal to the end time.

$\backslash$table$[[$Interarrival Durations,,$1,1,3,5,4,6,],[$Service Durations,$3,4,3,2,3,4,3,]]$

END event at TIME $13$

In other words, your solution will take the form of the $8-$column table below. Relevant quantities include:

CLOCK: System time

$LQ(t)$ : Number of customers waiting for service at time $t$

$LS(t)$ : Number of customers receiving service at time $t$

CHECKOUT LINE: List of customers in the system

Future event list: List of scheduled, unprocessed event notices

$S$ : Sum of customer response times for all customers who have departed

$N_D$: Number of customers who have departed

$F$ : Number of departed customers who have spent $5$ minutes or longer in the system

$\backslash$table$[[$CLOCK$,$System state,CHECKOUT LINE,$\backslash$table$[[$Future event$],[$list$]],\backslash$table$[[$Cumulative$],[$statistics$]]],[LQ(t),LS(t),S,N_D,F$