Question: Consider the following two-step process: A B Processing time 1 0.2 Setup time 0 16 Step A has a processing time of 1 minute per
Consider the following two-step process:
| A | B | ||
| Processing time | 1 | 0.2 | |
| Setup time | 0 | 16 | |
Step A has a processing time of 1 minute per unit, but no setup is required. Step B has a processing time of 0.2 minute per unit, but a setup time of 16 minutes is required per batch.
(a) Suppose units are produced in batches of 12 (i.e., after each set of 12 units are produced, step B must incur a setup of 16 minutes). What is the capacity of the process (in units per minute)? (Round the answer to 2 decimal places.)
(b) Suppose they operate with a batch size of 22 and with this batch size step A is the bottleneck. What would be the average inventory in step B? (Round the answer to 2 decimal places. Round other intermediate computations to one decimal place.)
c) What is the batch size that maximizes the flow rate of this process with minimal inventory? Assume there is ample demand.
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