Consider a project with the following information. Construct the project activity network $9/$ using the

$\backslash$table$[[$Activity$,$Duration,Pretecessors$],[$A$,4,-],[$B$,6,$A$],[$C$,7,$A$],[$D$,4,$B$,$ C$],[$E$,5,$B$],[$F$,5,$D$],[$G$,3,$C$],[$H$,5,$E$,$ F$,$ G$]]$

$($a$)$ Activity On Arrow $($AOA$)$ methodology and appropriately label each node and arrow. Identify all dummy activities required to complete the network.

$($b$)$ Also identify critical parth using forward pass and backward pass methods and show activities sluck.

$)=(10M$