Q.1 (20 points)
Given the following network, calculate the earliest–latest starting and finishing times, the total slack for each activity and identify the critical path.
Act.
Time
ES
EF
LS
LF
TS
A
4
B
3
C
1
D
2
E
3
F
4
G
4
H
2
I
4
J
2
K
4
L
1
M
3
Q.2 (20 points)
Consider the following WBS for a small project (all times are in days)
a. Draw a network diagram representing the project.
b. Calculate the expected time and the SD for each activity?
c. Identify all the paths in the network and calculate the probability of finishing the path within 21 days?
d. What is the most critical path?
Act.
Pre. Act.
a
m
b
Exp. Time
SD
A
–
1
2
3
B
–
4
5
6
C
–
4
5
6
D
A
2
3
4
E
A
1
2
3
F
C
2
3
4
G
C
7
9
15
H
B
4
5
6
I
B
6
10
14
J
B
1
2
3
K
G
2
3
4
L
H
6
10
14
Path
Exp. Time
SD
P(T < 21)
Q.3 (20 points)
Given the following network, the normal time and cost, cashed time and cost are given in the following table. Crash the project normal duration by five days at the minimum cost.
Act.
NT
CT
NC
CC
A
5
3
20000
30000
B
3
2
10000
20000
C
4
2
16000
24000
D
6
3
25000
43000
E
5
4
22000
30000
F
7
4
30000
48000
G
9
5
25000
45000
H
8
6
30000
44000
Q.4 (20 points)
Carry out resource leveling for the following project. Crashing, expanding and splitting activates is permissible assuming that all activities are fixed work volume and crashing can be done without extra cost. Initial and final resource load graphs should be provided. (You can use graph paper or excel sheet to develop the graphs).
Act.
Pred.
Time
Res. Rate
A
–
2
7
B
A
3
2
C
A
5
2
D
B
2
3
E
B
4
1
F
C
3
2
G
C
10
2
H
E
4
5
I
E, F
2
3
J
D, H, I, G
3
6
Q.5 (10 points)
You are the project manager for R&D department to develop a new product for your organization. Which technique you recommend to be used in scheduling your project, CPM or PERT? Why?
Q.6 (10 points)
Based on your personal experience with MS Project software in your course project, list 5 advantages, 5 disadvantages and compare it with other software used for project scheduling.

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