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You are the manager of a widget factory. Production of a widget is currently a three stage process. The first stage takes 0.25 minutes per unit of input and has a setup time of 30 minutes. The output of the first stage then goes to the second stage which takes 0.2 minutes/unit. The second stage has a setup time of 20minutes. These units then go to the third and final step, which takes 0.15min/unit in addition to the setup time of 45min. Each stage is done by a different machine.
Work is processed in batches at each step and before a batch is processed at a step, the machine needs to be set up. During a setup, the machine is unable to process any unit.
1. What is the capacity of the Step 1 if the batch size is 40 parts?
2. What is the capacity of the process if batch size is 40 parts?
3. For what batch sizes will Step 1 be the bottleneck?
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