Consider the following batch-flow process consisting of three process steps performed by three machines:

STEP 1 Processing Time: 0.25 Min/Part Processing Time: 0.20 Min/Part Processing Time: 0.15 Min/Part

STEP 2 Setup Time: 30 Minutes Setup Time: 20 Minutes Setup Time: 45 Minutes

STEP 3  Work is processed in batches at each step. Before a batch is processed at a step, the machine at that step must be set up. (During a setup, the machine is unable to process any product.) Assume that there is a dedicated setup operator for each machine (i.e., there is always someone available to perform a setup at each machine.)

a. What is the capacity of step 1 if the batch size is 35 parts?

b. For what batch sizes is step 1 (2, 3) the bottleneck? In other words, at what batch sizes do each step become the bottleneck?