please solve the question

Q5.3 ung or (Simple Setup) Consider the following balch flow process steps performed by three machines: Step 1 Step 2 Step 3 Processing Time: 1 Minute/Part Processing Time: 2 Minutes/Part Processing Time: 1.5 Minutes/Part Setup Time: 20 Minutes No Setup 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? [5.11 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? [5.61 d. Suppose the batch size is 40 parts. What would be the average inventory after step 1? 15.61