$(24$ points$)$ An engaged couple is planning their wedding. The table below outlines planning the wedding, the duration of each task $($in weeks$)$ and the tasks that must precede them:

$\backslash$table$[[$Activity$,$Description,Duration,Immediate Predecessor$],[$A$,$Allocate budget and draft guest list,$-,],[$B$,$Finalize guest list,A$,],[$C$,$Book venue,$1,$A$],[$D$,$Finalize design and print invitation,$4,$C$],[$E$,$Send invitations and finalize attending guests,$2,6],[$F$,$Hire photographer,$3,$B$,$D$],[$G$,$Create seating chart,$2,$A$]]$

$($a$)$ Draw a project network for this project in the space below. Use a forward and a backward pass to determine the critical path. EXPLAIN IN DETAIL