3.3 Draw the activity-on-node (AON) project network associated with the following
activities for Carl Betterton‘s construction project.
a) How long should it take Carl and his team to complete this project?
b) What are the critical path activities?
Activity
A
B
C
D
E
F
G
H
Immediate Predecessors
A
A
B
B
C
D
E, F
Time (Days)
3
4
6
6
4
4
6
8
ANSWER
E (4)
B (4)
Start
A (3)
D (6)
C (6)
ab ) L
ro=jeAcBtE=H41
Cern
itgicth
aloPfapth
=d
3a+ys4 + 4 + 8= 19
H (8)
F(4)
3.5 Using AOA, diagram the network described below for Lillian Fok‘s construction
project.
a) Calculate its critical path.
b) How long is the minimum duration of this network?
Activity
J
K
L
M
N
O
P
J = 10
Nodes
1-2
1-3
2-4
2-3
3-4
4-5
3-5
2
Time (weeks)
10
8
6
3
2
7
5
L=6
4
M=3
1
O=7
N=2
K=8
5
3
P=5
a) Critical Path = J + L + O= 10 + 6 + 7 = 23 Weeks
b) Minimum duration= 41 weeks
3.7 Task time estimates for the modification of an assembly line at Jim Goodale‘s
Carbondale, Illinois, factory are as follows:
Activity
A
B
C
D
E
F
G
a)
b)
c)
d)
Time (Hours)
6.0
7.2
5.0
6.0
4.5
7.7
4.0
Immediate Predecessors
A
B, C
B, C
D
E, F
Draw the project network using AON,
Identify the critical path,
What is the expected project length?
Draw a Gantt chart for this project.
a)
A (6)
C (5)
F (7.7)
START
D (6)
B (7.2)
G (4)
E (4.5)
b) Critical path= ACDFG= 6 + 5+ 6 +
c) Project length = 40.4 hours
d) Gantt Chart
7.7 + 4 = 28.7 hours