HHL LEIPZIG GRADUATE SCHOOL OF MANAGEMENT Value chain management written examination. Date: July 7th 2022. Name: Maximum duration: 90 minutes A. Exercises (60/100 pts) VSM and flow exercise (20/60) Review the following VSM chart and the general information of the line depicted on the map very well. Calculated demand: 1000 pcs/day - 3 shifts of 8 hours per day - Downtime of 2.5 hours per shift All resources within the processes have a capacity of 22 pcs/sec. Mill Drill Heat Treat Grind Shipping Cycle time: Cycle time: Incoming units (WIP): 1000 pcs Rework: 30 pc Scrap: 10 pcs Scrap: 0 pcs Scrap: 25 pcs Incoming units (WIP): 500 pcs Rework: 10 pcs Cycle time: Incoming units (WIP): 800 pcs Rework: 100 pcs Cycle time: Incoming units (WIP): 200 pcs Rework: 8 pcs Cycle time: Incoming units (WIP): 100 pcs Rework: 1 pcs Scrap: 3 pcs Output rate: 20 pcs/ Sec Output rate: 7 pcs/ Sec Output rate: 14 pcs/ Sec 240 sec 530 sec Scrap: 2 pcs Output rate: 4 pcs/Sec Output rate: 2 pcs/ Sec 320 sec According to this information please calculate: 1. 2. 3. 4. 5. The Takt Time and Cycle Time of each process (Mill, Drill, Heat treat, Grind and Shipping) The First Time Yield and the adjusted cycle time of the Mill process The Rolled Throughput Yield (RTY) of the entire line. (The FTY of the other processes must be calculated first) Using the VUT equation calculate the waiting time before a piece enters de grind process, if the variance of interarrival time is: 2.3 and the variance of the process time is: 0.5 Calculate the process cycle efficiency of the line Process control and capability exercises (20/60) According to the historical information of the last 20 days of the process presented in the table 1 please calculate: 8. 678 6. The short-term standard deviation 7. Process control limits Is the process under control? Write why 9. If the specification limits are: 43s Lower Limit, and 59s Upper Limit, please calculate the CPk. 10. Is the process capable? Write why.