1. Develop a simulation for a manufacturing process that involves drilling holes in a steel plate. The drilling machine has capacity for up to 3 parts at a time (c = 3 in queueing terms). The arrival rate should be 120 parts per hour and the processing rate should be 50 parts per hour. The interarrival time and processing time both have an exponential distribution.

a. Compute the exact values for the steady-state average time in system and in queue, average number of entities in system and in queue.