Problem $2$: $(25$ Marks$)$

Draw the node network, perform the CPM calculations, mark the critical path on the network, and complete the table below. All relationships are FS unless otherwise mentioned and a finish date of $31$ days is imposed on the project. TABLE MUST BE FILLED or only $50\%$ of grade will be given.

$\frac{?}{{?}_S}\frac{?}{{?}_F}=-D,LF=,TF\frac{?}{{?}_F}=-$EFF$=(E_s{)}_{m}in=F$

$\backslash$table$[[$Activity$,$Duration,IPA,Lag,ES$,$EF$,$LS$,$LF$,$TF$,$FF$],[$A$,5,-,,0,5,,,,],[$B$,6,$A$,,5,11,,,,],[$C$,3,$A$,,5,8,,,,],[$D$,5,$C$-$FF$,2,7,12,,,,],[,,$B$,3,14,19,,,,],[$E$,9,$C$,,8,17,,,,],[$F$,8,$B$,$ C$,,11,19,,,,],[$G$,5,$F$,,19,24,,,,],[,,$D$-$SS$,3,10,15,,,,],[$H$,6,$F$,$G$,,24,30,24,30,,],[$I$,8,$F$,,19,27,,,,]]$

Network Diagram: