You are the manager of a widget factory. Production of a widget is currently a three stage process. The first stage takes 1 minute per unit of input and has a setup time of 40 minutes. The output of the first stage then goes to the second stage which takes 0.5 minutes/unit. The second stage has a setup time of 30minutes. These units then go to the third and final step, which takes 0.75min/unit in addition to the setup time of 60min. 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 20 parts? 2. What is the capacity of the process if batch size is 20 parts? 3. For what batch sizes will Step 1 be the bottleneck?