Using the Critical Path Method $($CPM$)$ and PERT:

a$)$ Create the activity network diagram and calculate the mean time for each activity.

b$)$ Use these mean times as the duration for each activity and present the updated network diagram.

c$)$ Determine the Early Start $($ES$),$ Early Finish $($EF$),$ Late Start $($LS$),$ and Late Finish $($LF$)$ for each activity and identify the critical path.

d$)$ Calculate the float time for each activity.

e$)$ Compute the variance for each activity and find the sum of variances for all activities with zero float time $($using pert formula$)$

Note: $($Accuracy of values: to four decimal places$)$

Activity Immediate predecessor Optimistic Time Most Probable Time Pessimistic time Mean Time $($PERT Formula$)$ Float Time Variance $($Pert Formula$)$

A $-6710$

B $-8912$

C A $8810$

D B $578$

E B $367$

F C$,$D $121314$

G E$,$D $81218$

H F$,$G $101721$

I G$,$H$,$E $111214$