(Simple Setup) Consider the following batch flow process consisting of three process steps performed by three machines: Step 1 Step 2 Step 3 Processing Time: 1 Minute/Part Setup Time: 20 Minutes Processing Time: 2 Minute Part No Setup Processing Time: 1.5 Minutes/Part No Setup Work is processed in batches at each step. Before a batch is processed at step 1, the machine has to be set up. During a setup, the machine is unable to process any product. a. Assume that the batch size is 50 parts. What is the capacity of the process? [5.1] b. For a batch size of 10 parts, which step is the bottleneck for the process? [5.1] c. What batch size would you choose? [5.6] d. Suppose the batch size is 40 parts. What would be the average inventory after step 1? [5.6]