Station $1$ has $5$ identical machines with average processing time of $15$ min per job.

Station $2$ has $12$ identical machines with average processing times of $30$ min per

job.Station $3$ has one machine with average processing time of $3$ min per job.

What are the bottleneck rate, the raw process time and the critical WIP?

Compute the average cycle time when the inventory level is set at $20$ jobs,

under the assumptions of i$)$ the best case, ii$)$ the worst case and iii$)$ the practical

worst case.

Suppose you want the throughput of the line to be $90\%$ of the bottleneck

rate. Find the WIP level required to achieve this under the assumptions of i$)$ the

best case, ii$)$ the worst case and iii$)$ the practical worst case.

If the cycle time at the critical WIP is $100$ minutes, where does performance

fall relative to the three cases? Is there much room for improvement?