Part $3-$ Case Study in Simulation $-$ KanBan Levels $(35$ points$)$

You have a $3$ machine simulation. Jobs arrive at a rate of $1$ job per minute with exponential arrival times. You have a series of $3$ machines. All machines take uniform distribution from $\mathrm{.}7$ to $1$ minutes to process a job. Thus, the utilization is $85\%($all machines$).$ Set the maximum queue size in front of each machine to $1000,10,5,$ and $2.$ Comment on the system performance under low inventory levels.