c$.$ Consider the process flowchart in the figure below:

Jobs

The estimated activity time and resources for each activity in the process are shown in the table below.

$\backslash$table$[[$Activity$,\backslash$table$[[$Activity Time$],[($min$)]],\backslash$table$[[$Resource$],[$Type$]]],[$A$,2,$R$1],[$B$,5,$R$1],[$C$,8,$R$2],[$D$,3,$R$2],[$E$,4,$R$2],[$F$,2,$R$1],[$G$,4,$R$3],[$H$,2,$R$3],[$I$,4,-]]$

There are two units of $R1,$ two units of $R2,$ and one unit of $R3.$

Calculate the theoretical process capacity and identify the bottleneck.

If the actual throughput has been observed to be $6$ jobs$/$hour$,$ what is the capacity utilisation?

$(40$ marks$)$