Question

1. In the following table task durations are given in weeks. Use the three point to find:

Activity	Predecessor	Optimistic	Normal	Pessimistic
A	None	2	4	6
B	None	3	5	9
C	A	4	5	7
D	A	4	6	10
E	B,C	4	5	7
F	D	3	4	8
G	E	3	5	8

1. Construct the (AON) Activity on Node network diagram
2. Find each activity’s ES, EF, LS and LS
3. Identify all paths. Which path is the critical path?
4. Calculate the slack for each activity.
5. How long will it take to complete the project?

Answer 1

all possible paths are

S-A-D-F-H

S-A-C-E-G-H

S-B-E-G-H

The critical path is S-A-C-E-G-H

it is expected to take 19.51 weeks to complete the project

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