4) An elevator in a manufacturing plant carries exactly 300 kilograms of material. There are three kinds of material (contained in boxes) that arrive for a ride on the elevator. These materials and their arrival distributions are as follows: Material A Weight (kg) 200 B 100 Interarrival Time (minutes) 5+2 (uniform) 6 (constant) P(2)= 0.33 P(3) = 0.67 50 It takes 1 minute to go up to the second floor, 2 minutes to unload, and 1 minute to return back to the first floor (i.e., 4 minutes in total). The elevator does not leave the first floor unless it has a full load (300kg). Assume that heavier boxes are given priority when loading. For example, if you have one of Material A, one box of Material B, and two boxes of Material C's, you would load Box A (200kg) and Box B(100 kg) instead of Box A (200 kg) and two Box C's (2 x 50 kg). Simulate the system for 60 minutes (ignore arrivals after this point) assuming the following random number for arrivals of Material A and Material C(Material B does not require random numbers since the interarrival time is always 6 minutes). Also, there may still be boxes waiting to for the elelvator when the simulation stops after 60 minutes. Do not include these in the calculation of Mean Waiting Time. Material A Box Random Number Material Box Random Number 1 1 1 58 2 4 2 92 3 2 3 17 4 3 4 01 5 9 5 60 6 7 6 24 7 2 7 22 8 7 8 58 9 5 9 85 10 10 95 11 11 17 12 12 34 To assist with the development of the simulation, you might want to use a simulation table which contains at least the following columns: Current Clock, A Box Queue, B Box Queue, C Box Queue, Total Weight, Elevator Service Begins, Elevator Service Ends, Waiting Time for A, Waiting Time for B, Waiting Time for C. What is the average waiting time for a box of Material A, Material b and Material C? How many boxes of Material C made the trip in 1 hour