Three-Step Line with Batch Processing

Consider the following three-step process with setup times and task times:

Each step employs a single worker who is not cross-trained for any other step. The setup represents the amount of time each separate worker spends setting up the machine for each batch of work. No units can be processed on a machine while it is being set up. Setting up the machine in this case does not require the work to be processed to be available, i.e., the machine at Step 2 can be set up while work is still being processed at Step 1.

The runtime represents the amount of time it takes the worker to process a single unit.

Assume the batch size is 10. At each station, the worker sets up the machine, runs 10 units through the process, and then sets up the machine for the next batch. At the beginning, the worker at step 1 sets up the machine, runs 10 units, and then delivers those 10 units to the worker at step 2, and so on. If all three workers start at the same time and there is no current inventory in the system.

1. What is the minimum throughput time for a batch of 10 units to be produced? show detailed work

2. Please identify the bottleneck(s) of the process. show detailed work .