Q$5\mathrm{.}3($Simple Setup$)$ Consider the following batch$-$flow process consisting of three process steps performed by three machines:

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? $[5\mathrm{.}1]$

b$.$ For a batch size of $10$ parts, which step is the bottleneck for the process? $[5\mathrm{.}1]$

c$.$ What batch size would you choose? $[55\mathrm{.}6]$