Consider the following three-station production line with a single product that must visit stations 1, 2, and 3 in sequence:

* Station 1 has five identical machines with average processing time of 15 minutes per job. * Station 2 has 12 identical machines with average processing time of 30 minutes per job. * Station 3 has one machine with average processing time of 3 minutes per job.

a) What are the bottleneck rate rb*,the raw process time To* and the critical WIP wo*? b) Compute the average cycle time when the WIP level is set at 20 jobs, under the assumption of: i) The best case

ii) The worst case

iii) The practical worst case

c) Suppose you desire the throughput of a line to be 90 percent of the bottleneck rate. Find the WIP level required to achieve this under the assumptions of:

i) The best case

ii) The worst case

iii) The practical worst case

d) If the cycle time at the critical WIP is 100 minutes, where does performances fall relatives to the cases? Is thered much room for improvement?