Complete the network diagram for activities A through L below. Insert durations and predecessor arrows, and then perform forward$-$pass, backward$-$pass, and float calculations. Answer the following questions based on the completed network

$\backslash \backslash$table$[[$ID:$],[$ES:$,$Duration:,LS:$],[,,$LF:$],[$EF:$,,],[$Total Float:,$]]$

$\backslash$table$[[$ID:$,$D$,],[$ES:$,$Duration:,LS:$],[,,$LF:$],[$Iotal Float:,$]]$a$.$ What is the critical path?

b$.$ What is the overall duration of the project?

c$.$ If Activity C$,$ Rough$-$In Plumbing, took two extra days to complete, how much longer would the overall duration be$?$

d$.$ If Activity I, Install Plumbing Fixtures, took six extra days to complete, how much longer would the overall duration be$?$

e$.$ If Activity D$,$ Rough$-$In HVAC, took four extra days to complete, Activity J$,$ Install and Test HVAC System, took three extra days to complete, and Activity G$,$ Finish and Paint Drywall, took two less days to complete, how much longer would the overall duration be$?$table$[[$Activitios Information$],[$Activity$,$Description$],[$A$,$Install Metal Stud Walls,$12,],[$B$,$Rough$-$In Electrical,$8,$Predecessors$],[$C$,$Rough$-$In Plumbing,$9,$A$],[$D$,$Rough$-$In HVAC,$7,$A$],[$E$,$Inspections,$0,$A$],[$F$,$Install Drywall,B$,$ C$,$ D$,],[$G$,$Finish and Paint Drywall,$9,$E$],[$H$,$Install Electrical Fixtures,$1,$F$],[$I$,$Install Plumbing Fixtures,$3,$G$],[$J$,$Install and Test HVAC System,$6,$G$],[$K$,$Punch List,$3,$G$],[$L$,$Closeout,H$,$ I, J$,,],[,,2,$K$]$