Assignment:
The project of building a backyard swimming pool consists of eight major activities and has to be completed within 19 weeks. The activities and related data are given in the following table:
|
Activity
|
Immediate predecessor
|
Activity time (weeks)
|
|
A
|
-
|
3
|
|
B
|
-
|
6
|
|
C
|
A
|
2
|
|
D
|
B,C
|
5
|
|
E
|
D
|
4
|
|
F
|
E
|
3
|
|
G
|
B,C
|
9
|
|
H
|
F,G
|
3
|
a. Draw a network diagram for this problem.
b. Determine the critical path and the expected project completion time.
c. Assume the project variance is 4 weeks2.
i. What is the probability that all the activities are completed within 19 weeks?
ii. When is the due date if there is a 90% of completing all the activities?
Provide complete and step by step solution for the question and show calculations and use formulas.