show your work please.

Please solve the following problem using simulation by hand methodology: A system is composed from a M/M/1 system, the following represent the arrival time and the service time: Stop after customer 20 Arrival time Service time 1 0 0.35 N 32.41 2.3 w 3 35.75 1.33 4 38.1 0.5 un 39.27 1.55 6 41.34 14.36 7 43.68 16.82 8 52.78 17.52 9 57.76 1.08 10 59.18 5.5 11 59.89 4.13 12 70.38 10.29 13 70.39 1.77 14 72.56 4.03 15 84.34 3.82 16 90.57 16.36 17 93.8 4.65 18 100 3.94 19 110 0.5 20 112 0.25 118 Find the following: 1. Max number in the system 2. Max number in the queue 3. Throughput 4. Average interarrival time 5. Average waiting time 6. Average system time 7. Max system time 8. Average number of customer in the queue 9. The utilization of the system