$[10$ points$]$ Consider a production line with five workstations.

$\backslash$table$[[$Station A$],[1$ worker$],[10$ minutes$]]=>$

$\backslash$table$[[$Station B$],[1$ worker$],[10$ units$/$hr$]]=>$

$\backslash$table$[[$Station C$],[1$ worker$],[8$ units$/$hr$]],$

$\backslash$table$[[$Station D$],[1$ worker$],[12$ minutes$]],$

$\backslash$table$[[$Station E$],[2$ workers$],[16$ minutes$]]$

a$.$ Which station is the bottleneck station? $($Note: $10$ minute means the processing time per unit$)$

b$.$ What is the throughput rate of the system?

c$.$ What is the total processing time?