Consider the following three-station production line with a single product that must visitstations 1, 2, and 3 in sequence: •Station 1 has 5 identical machines with average processing times of 15 minutes per job. •Station2 has 12 identical machines with average processing times of30 minutes per job. •Station 3 has 1 machine with average processing times of3 minutes per job. a). What are the bottleneck rate rb, the raw process time T0, and the critical WIP? b). Compute the average cycle time when the WIP level is set at 20 jobs, under the assumptions of i). the best case ii). the worst case iii). the practical worst case c). We desire the throughput to be 90 percent ofthe 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.