The Laurenster Corporation needs to set up an assembly line to produce a new product. The following table describes the relationships among the activities that need to be completed for this product to be manufactured.
ACTIVITY DAYS IMMEDIATE PREDECESSORS
a m b
A 3 6 6 —
B 5 8 11 A
C 5 6 10 A
D 1 2 6 B, C
E 7 11 15 D
F 7 9 14 D
G 6 8 10 D
H 3 4 8 F, G
I 3 5 7 E, F, H
(a) Develop a project network for this problem.
(b) Determine the expected duration and variance for each activity.
(c) Determine the ES, EF, LS, LF, and slack time for each activity. Also determine the total project completion time and the critical path(s).
(d) Determine the probability that the project will be completed in 34 days or less.
(e) Determine the probability that the project will take longer than 29 days.