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A small manufacturing department contains three serial workstations each with a special machine to process the parts. Parts arrive according to an exponential interarrival-time distribution

A small manufacturing department contains three serial workstations each with a special machine to process the parts. Parts arrive according to an exponential interarrival-time distribution with a mean of 8 (all times are given in minutes), with the first parts arriving at time 0. Before a new part can start processing, it must be mounted on fixtures, and this mounting operation takes 2 minutes). The part remains on the fixture until it completes processing on all the workstations, at which time it is removed from the fixture (this removal operation takes 1 minute), after which the fixture becomes available for another part that might be waiting for it. Processing times at the first workstation have a high frequency of 7 and can be as low as 4 but do not exceed 9. Processing times at the second workstation have a lower and upper bound of 5 and 10 respectively. Processing times at the third workstation do not exceed 9 but with a minimum of 5, and usually 6.5. Run your simulation for a single replication of length 48 hours. Determine the time-average and maximum work-in-process (WIP) in the whole system. At each workstation separately, Determine the average time spent in the queue and maximum queue length. (All results must be reported in minutes). What key assumptions are required to model the workstations, the Mounting station and the offloading station. If it costs R3000 to keep a part in the right condition before being processed at a workstation, how much should the company budget to ensure parts are in the right condition?

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