Consider that both component inter$-$arrival times and processing times are exponential, and

jobs arrive at a rate of $5$units$/$hr$.$

a$.$ What is the average flow time to complete component A$,$ that is$,$ to complete steps A$1$

and A$2?(10$ points$)$

b$.$ What is the average time to complete component B$,$ that is$,$ to complete steps B$1,$ B$2$

and B$3?(10$ points$)$

c$.$ What is the critical path of the system now? Please explain why. $(5$ points$)$

d$.$ What is the average inventory in the entire system? $(5$ points$)$