P$11-3$ Draw CPM diagram and determine critical path A project consists of the following activities.

$\backslash$table$[[$Activity$,$Duration $($days$)],[$A$,3],[$B$,5],[$C$,7],[$D$,5],[$E$,4],[$F$,6],[$G$,2],[$H$,3]]$

A and $B$ can be commenced concurrently. Both $C$ and $D$ can be commenced after completion of $A.$ E cannot commence until both $B$ and $C$ have been completed. $F$ can commence after completion of B$.$ G cannot commence until D and E have been completed. H follows completion of $F.$

Required:

$($a$)$ Draw the network diagram.

$($b$)$ List the paths in the network and identify the critical path.

$($c$)$ What is the total project completion time?