Consider the following system: Six trucks are used to haul coal from a mine to the rail road. There are two loaders and one weighing scale. After loading a truck immediately moves to the scale for weighing using FIFS policy. After weighing a truck begins a travel time and then returns to loader queue with the distribution of travel time as: Travel time (Mins) 40 60 80 100 Probability 0.3 0.4 0.1 0.2 Further the distribution of loading time and weighing time are as: Loading time (Mins) 5 10 15 Probability 0.5 0.3 0.2 Construct simulation table to trace the six trucks and: (a) Compute average waiting time of loading (b) Compute average time in system (loading and scaling times) (c) Compute waiting probability for scaling (d) Estimate the loader and scale utilization Weighing time (Mins) 12 16 Probability 0.6 0.4