If a buffer is put between step 1 and step 2, and if we choose the batch size as 10-unit per order, what is the hourly rate at which inventory is built up at the buffer (assuming workers at step 1 and step 2 work as fast as they can and lets ignore step 3)?

Consider the following three-step worker-paced line: Step 1 Step 2 Step 3 Setup: 30 mins Run: 3 mins per unit Setup: 50 mins Run: 2 mins per unit Setup: 20 mins Run: 5 mins per unit Each step employs a single worker. The setup time is fixed per order (batch), e.g. for Step 1, it takes 30 minutes to setup the machine to process 1 order (regardless of how many units are in the order). The run time represents the amount of time it takes the worker process a single unit. When a worker completes an order, he or she hands it off to the next stage. a. If only 10-unit orders are produced, what is the process capacity in units per day (assuming 8-hour in a day)? b. At what order size does the bottleneck move? That is, at what order size are there two steps that are both bottlenecks? c. If a buffer is put between step 1 and step 2, and if we choose the batch size as 10-unit per order, what is the hourly rate at which inventory is built up at the buffer (assuming workers at step 1 and step 2 work as fast as they can and let's ignore step 3)