$2)$ Consider the two$-$step process. Step A has a processing time of $2$ minutes per unit and a

setup time of $10$ minutes. Step B has a processing time of $4$ minutes per unit, but no setup

time is required. There is a buffer between steps A and B if there is a minor delay in operation.

$30$ points

a$)$ Draw the flow chart for this problem.

b$)$ Suppose units are produced in batches of $15.$ Which step is a bottleneck, and what is the

capacity of the process $($in units per minute$)?$

c$)$ What is the batch size that maximizes the flow rate of this process with minimal inventory?

Assume there is significant demand.