Question

Q3. The following information relates to a small project to deliver a training and development activity: Activity Duration (Weeks) Predecessor(s) A Select personnel 3 - B Invite personnel 5 - C Check budget 14 A D Prepare materials 5 A E Select instructor 4 B F Select date and venue 7 B G Remind personnel 8 D, E H Deliver training 5 G, F a. Draw the network diagram. b. Find the critical path and expected duration. c. Assume activity A will actually take 5 weeks, what is the new critical path and new expected duration?

Answer 1

Activity	Duration in weeks	Predecessor
A - Select personnel	3	-
B- Invite personnel	5	-
C-Check budget	14	A
D- Prepare materials	5	A
E-Select instructor	4	B
F-Select date and venue	7	B
G-Remind personnel	8	D,E
H-Deliver training	5	G,F

a) Given below is the network diagram:

Note :

1.The Activities and corresponding durations have been denoted on the diagram above the respective paths in the manner A3 B5 and so on.

2. The earliest Starting point have been calculated for each activity on the diagram denoted by E.

b) The Critical Path is denotedby the double lined arrows which is 1-3-4-5-6 or B-E-G-H.

The expected duration is 22 weeks which is also calculated on the diagram.

c) If activity A takes 5 weeks, the new critical path would be 1-2-4-5-6 or A-D-G-H.

The expected duration in this senario would be 23 weeks.

Given below is the network diagram showing the critical path if A's duration was 5 weeks :