THE INTERNATIONAL UNIVERSITY (IU) VIETNAM NATIONAL UNIVERSITY HCMC
FINAL EXAMINATION
Date: 01/14/2022
Duration: 120 minutes
Student ID: .................................. Name: ................................................
SUBJECT: PROJECT MANAGEMENT
Dean of School of Business
Signature:
F
Lecturer
Signature:
Full name:
Dr. Truong Quang Duoc
Mr. Nguyen Nhu Tung
GENERAL INSTRUCTION(S)
1 This is examination. open book online
2. Your answer will be submitted in Blackboard
3. Your webcam must be opened during the examination time
4. The due time to submit this test in Black Board is 10:00 AM.
Problem 1 (30 points)
The following table presents project information (time unit in months)
Activit
y Predecessors
Pessimisti
c
Duration
Most likely
Duration
Optimisti
c
Duration
A ____ 12 10 7
B ____ 8 5 4
C A 9 7 5
D B 7 5 4
E B, D 12 10 8
F B, D 7 4 3
G E, F 10 8 5
a) Draw an AON network diagram for the project. (5 pts)
b) Determine the critical path of the project. (5 pts)
c) Calculate the expected time for all activities. (5 pts)
d) What is the expected project completion duration? (5 pts)
e) Calculate the variance of the critical path. (5 pts)
f) Estimate the probability that the project will be completed on or less than Month 26 (show
your calculations). (5 pts)
Problem 2 (30 points)
Consider the following table.
Activit
y
Predecessor Normal
Time
(days)
Crash Time
(days)
Normal Cost in
$
Crash
Cost in $
A 9 8 400 500
B A 5 1 300 500
C A 11 5 600 1000
D B, C 14 11 300 500
a) What is the activity with the smallest crash cost per period? (5 pts)
b) Which activity should be cut first to reduce the project duration by 1 day? How much is added
to the project cost? (5 pts)
c) Which activity should be the next to be crashed to cut a second day from the project duration?
(5 pts)
d) How much is added to the project cost with two days crashed? (5 pts)
e) What is the maximum time that can be crashed? How much additional cost is needed? (10 pts)
Problem 3 (20 points)
A new product development project has elapsed two weeks. It means that the status period is end of
Week 2. The monitoring team has reported the project updates as given in the following table.
Table 1 Update progress (Note: time proportionality rule is used for PV and EV calculation. Actual
Cost is reported at the status time)
Activit
y #
Description
Predecessor
s
Estimate
d
Duration
(weeks)
Planned
Value ($)
% Work
Complete
d
Money
Spent
(AC) ($)
1 Creative 5 1,000 25% 500
2 Strategy 2 500 75% 300
3 IT 4 3,000 25% 1,000
4 Fundraising 1 4 500
5 Marketing 1,2 2 2,000
6 Sales 1,2 5 500
7 Finance 5,6 2 750
8 HR 4,6 1 250
a) Calculate the values of SV, CV, SPI and CPI of Activity 1, 2, 3 and 4?
b) Which activities are behind schedule? Which activities have cost overrun?
c) If the 0-100 rule is used for EV calculation, what are the values of EV for Activity 1, 2 and 3?
1
4
6
3
100
50
66.67
66.67
Problem 4 (20 points)
Suppose that you are a monitoring and evaluation officer for a project for building a shelter for 100
homeless people in Ho Chi Minh City. Identify what, when and how the project will be monitored and
evaluated.
Good Luck!

Preview text:

THE INTERNATIONAL UNIVERSITY (IU) V
– IETNAM NATIONAL UNIVERSITY H – CMC FINAL EXAMINATION Date: 01/14/2022 Duration: 120 minutes
Student ID: ..................................
Name: ................................................
SUBJECT: PROJECT MANAGEMENT
Dean of School of Business
Lecturer Signature: Signature: F Full name: Dr. Truong Quang Duoc Mr. Nguyen Nhu Tung GENERAL INSTRUCTION(S)
1 This is open book online examination.
2. Your answer will be submitted in Blackboard
3. Your webcam must be opened during the examination time
4. The due time to submit this test in Black Board is 10:00 AM. Problem 1 (30 points)
The following table presents project information (time unit in months) Pessimisti Optimisti Activit c Most likely c y Predecessors Duration Duration Duration A ____ 12 10 7 B ____ 8 5 4 C A 9 7 5 D B 7 5 4 E B, D 12 10 8 F B, D 7 4 3 G E, F 10 8 5
a) Draw an AON network diagram for the project. (5 pts)
b) Determine the critical path of the project. (5 pts)
c) Calculate the expected time for all activities. (5 pts)
d) What is the expected project completion duration? (5 pts)
e) Calculate the variance of the critical path. (5 pts)
f) Estimate the probability that the project will be completed on or less than Month 26 (show your calculations). (5 pts) Problem 2 (30 points)
Consider the following table. Predecessor Normal
Crash Time Normal Cost in Crash Activit Time (days) $ Cost in $ y (days) A 9 1 8 400 500 100 B A 5 4 1 300 500 50 C A 11 6 5 600 1000 66.67 D B, C 14 3 11 300 500 66.67
a) What is the activity with the smallest crash cost per period? (5 pts)
b) Which activity should be cut first to reduce the project duration by 1 day? How much is added to the project cost? (5 pts)
c) Which activity should be the next to be crashed to cut a second day from the project duration? (5 pts)
d) How much is added to the project cost with two days crashed? (5 pts)
e) What is the maximum time that can be crashed? How much additional cost is needed? (10 pts) Problem 3 (20 points)
A new product development project has elapsed two weeks. It means that the status period is end of
Week 2. The monitoring team has reported the project updates as given in the following table. Table 1 U
– pdate progress (Note: time proportionality rule is used for PV and EV calculation. Actual
Cost is reported at the status time) Activit Description Predecessor Estimate Planned % Work Money y # s d Value ($) Complete Spent Duration d (AC) ($) (weeks) 1 Creative 5 1,000 25% 500 2 Strategy 2 500 75% 300 3 IT 4 3,000 25% 1,000 4 Fundraising 1 4 500 5 Marketing 1,2 2 2,000 6 Sales 1,2 5 500 7 Finance 5,6 2 750 8 HR 4,6 1 250
a) Calculate the values of SV, CV, SPI and CPI of Activity 1, 2, 3 and 4?
b) Which activities are behind schedule? Which activities have cost overrun?
c) If the 0-100 rule is used for EV calculation, what are the values of EV for Activity 1, 2 and 3? Problem 4 (20 points)
Suppose that you are a monitoring and evaluation officer for a project for building a shelter for 100
homeless people in Ho Chi Minh City. Identify what, when and how the project will be monitored and evaluated. Good Luck!