Answer 9: 14
Early Start time of Activity D = Sum of Duration of predecessor activities (A &B) = 6 + 8 = 14
Answer 10: 25
Start to Start Relationship: Successor Activity Can't start until Predecessor activities have started.
Early Start time of Activity C = Max (Start time of A, Start time of B) = Max (20,25) = 25
Answer 11: 17.36
a = optimistic time = 15
m = most likely time = 24
b = pessimistic time = 40
Variance of Activity (VAR) = [(b-a)/6]^2 = [(40-15)/6]^2 = (25/6)^2 = 17.36
Answer 12: day 23
Activity A is first activity of the project
ES of A = 0
EF of A = 8
A has two successor activities B & C
For C LS = 8 which is equal to EF of A so Activity C is a critical activity
C has two successor activities D & E
But there is a slack (LS - ES or LF-EF) for activity D so Activity D can't be a critical activity.
so Activity E is the critical activity.
E has one successor activity F
so Critical path for the project is A-C-E-F
Now, Late start of Activity E = Early Start of Activity E = Early Finish of Activity C = 23
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