Question 2: Kick Scooters Consider the following batch-flow process consisting of three process steps performed by three machines. Process Step Processing Time Setup time Step 1 Step 2 Step 3 0.3min./unit 25 min 0.50 min./unit No Set up time 0.4 min./unit 30 min 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. For what batch sizes is step 1 the bottleneck? For what batch sizes is step 3 the bottleneck Which station is the bottleneck if products are processed in batches of 400 on each step b. c. Discuss if there exists an optimal batch size. If so, what is the optimal batch size? If not, explain your reasoning