3. Suppose we have a single-product kanban line consisting of five stations like that illustrated at the bottom of Figure 6.4. Suppose there are currently a total of 30 cards, allocated among the various stations, and th line is achieving a throughput of 50 jobs per hour. Now suppose that we convert the line to a CONWIP system like that shown at the top of Figure 6.4 and set the number of cards equal to 30. a. It can be shown mathematically that the throughput level in the CONWIP line will be at least as large, and possibly larger, than that in the kanban line. Explain why this occurs. (Hint: Note that the throughput of the line will be equal to the rate of the bottleneck station times the utilization of the bottleneck. Think about what causes blocking and starving of the bottleneck.) b. Given the result of part (a) and the fact that CONWIP is simpler to implement (i.e., because it only requires setting a single card count, rather setting card counts for each station), when would it make sense to use kanban instead of CONWIP? defining parale con h 0-0 10 L] Workstation Buffer + Material flow 6 Cath 3. Suppose we have a single-product kanban line consisting of five stations like that illustrated at the bottom of Figure 6.4. Suppose there are currently a total of 30 cards, allocated among the various stations, and th line is achieving a throughput of 50 jobs per hour. Now suppose that we convert the line to a CONWIP system like that shown at the top of Figure 6.4 and set the number of cards equal to 30. a. It can be shown mathematically that the throughput level in the CONWIP line will be at least as large, and possibly larger, than that in the kanban line. Explain why this occurs. (Hint: Note that the throughput of the line will be equal to the rate of the bottleneck station times the utilization of the bottleneck. Think about what causes blocking and starving of the bottleneck.) b. Given the result of part (a) and the fact that CONWIP is simpler to implement (i.e., because it only requires setting a single card count, rather setting card counts for each station), when would it make sense to use kanban instead of CONWIP? defining parale con h 0-0 10 L] Workstation Buffer + Material flow 6 Cath