Create the AoN and Identify the Critical Path

$1.$ Calculate the Early Finish for each activity $($Forward Algorithm$)$

o Early Finish $=$ Early Start $+$ Duration for each activity

o The ES for any activity is the greatest $($latest$)$ EF of any preceding activity, based upon the

network logic

$2.$ Calculate the Late Finish for each activity $($Backwards Algorithm$)$

a$.$ Late Start $=$ Late Finish $$ Duration for each activity

b$.$ The LF for any activity is the least $($earliest$)$ LS of any subsequent activity, based upon

the network logic

$3.$ Calculate the Total Float

a$.$ Total Float is the amount of time that an activity can be delayed without delaying

the total project

b$.$ It is the difference between the EF and the LF for each activity

$4.$ Identify the Critical Path

a$.$ Those activities where TF $=0$ are, by definition, on the Critical Path

$\backslash$table$[[,$A$,$B$,$C$,$D$,E,f,$G$,$H$,1,J,$K$],[1,$Activity,$\backslash$table$[[$Duration$],[($Days$)]],$Cost $($$$/$day$),$Preceded By$,$Followed By$,\backslash$table$[[$Early$],[$Start$]],$Late Start,$\backslash$table$[[$Total$],[$Float$]],$Free Float,$\backslash$table$[[$Early$],[$Finish$]],\backslash$table$[[$Late$],[$Finish$]]],[2,$A$,2$ days,$$\frac{500}{?}$ day,$0,B,C,D,,,,,,],[3,$B$,3$ days,$$\frac{900}{?}$ day,A$,$E$,,,,,,],[4,$C$,4$ days,$$\frac{1600}{?}$ day,A$,F,,,,,,],[5,D,5$ days,$$500/$day$,$A$,$G$,,,,,,],[6,$E$,7$ days,$$1400/$day$,$B$,H,,,,,,],[7,F,7$ days,$$1500/$day$,$C$,$I, L$,,,,,,],[8,$G$,8$ days,$$2400/$day$,D,J,K,,,,,,],[9,H,4$ days,$$800/$day$,E,L,,,,,,],[10,1,2$ days,$$\frac{1000}{?}$ day,$F,N,,,,,,],[11,$J$,12$ days,$$3600/$day$,$G$,M,O,,,,,,],[12,K,5$ days,$$2000/$day$,$G$,P,,,,,,],[13,L,6$ days,$$\frac{1200}{?}$ day,$F,H,Q,,,,,,],[14,$M$,2$ days,$$\frac{900}{?}$ day,J$,N,,,,,,],[15,N,2$ days,$$700/$day$,$I,$M,S,,,,,,],[16,0,6$ days,$$1800/$day$,$J$,R,T,,,,,,],[17,P,4$ days,$$\frac{1200}{?}$ day,$K,T,,,,,,],[18,Q,4$ days,$$2000/$day$,L,u,,,,,,],[19,R,4$ days,$$1600/$day$,0,S,,,,,,],[20,S,2$ days,$$1400/$day$,N,R,$V$,,,,,,],[21,T,9$ days,$$1800/$day$,O,P,$V$,,,,,,],[22,$U$,2$ days,$$1200/$day$,$Q$,$V$,,,,,,],[23,$V$,3$ days,$$\frac{300}{?}$ day,$S,T,U,0,,,,,,]]$