In this pre-lab assignment, let us consider a following deterministic queuing system with a single server: (a) The jobs are incoming with an inter-arrival time of exactly 40 minutes; (b) The server can process a job in exactly 20 minutes; (c) However, the server needs periodic maintenance. Specifically, every time it has processed 3 jobs, it needs to be maintained. The maintenance time duration is exactly 60 minutes. Task 1: Perform simulation-by-hand, and based on it, determine (i) On the average, how long does a job stay in the system (from the moment it enters the queue, till the moment it has been processed), and (ii) What is the average length of the queue? (iii) What is the utilization rate of the server? Recall that in the Pre-Lab 1 Appendix B, the flowcharts for executing an arrival event and for executing a departure event were described. Those flowcharts were used to construct the python codes for simulating the basic queuing system for Lab 1 Problem 1. Task 2 (Bonus): For the above-mentioned deterministic queuing system subjected to periodic maintenance, draw an appropriate flowchart for executing an arrival event and an appropriate flowchart for executing a departure event. Also, draw an appropriate flowchart for executing an end-of-maintenance-period event (i.e. event corresponding to the end of 60-minute maintenance)