Project Management
Class Examples
1) Consider the introduction of a new product described by the following activities and associated
times:
Activity
Letter
Design Prototype
Test Prototype
Design Package
Draft Production Plan
Obtain Credit
Material Quotes
Equipment Specs. And Tenders
Purchase and Install Equipment
Final Production Plan
Marketing Plan
Hire and Train Sales Staff
Prepare Advertisement
Advertising and Sales Campaign
D
T
P
DP
C
QP
E
I
FP
M
S
PA
AC
Immediate
Predecessor
None
D
D
P
None
C
QP, T
E
E, DP
None
M
S, P
PA
Time
(weeks)
12
8
3
6
6
9
5
8
15
5
14
4
14
Draw the PERT/CPM network, calculate the expected project completion time, and identify the critical
path(s).
2) A project has the activities, precedence relationships, and activity durations (in days) shown below:
Activity
A
B
C
D
E
F
G
Predecessors
A
B
B,C
D,E,F
Time
4
5
3
2
3
1
5
Activity
H
I
J
K
L
M
Predecessors
D,E,F
G
H
I
J,K
I
Time
4
7
3
1
2
2
Draw the PERT/CPM network for the project. Calculate the expected project completion time and identify
the critical path(s).
3) The following information is available regarding a project:
Activity
A
B
C
D
E
F
G
a)
b)
Immediate
Predecessors
None
None
A
B
B
C,D
E
--------------------Time (in weeks)-----------------Optimistic
Likely
Pessimistic
1
2
3
5
7
15
2
3
10
1
1
1
1
2
3
1
5
9
4
5
12
Calculate the expected time for each activity and identify the critical path.
What is the probability of completing this project in 18 weeks or less?
4) PROJECT CRASHING AND RESOURCE LOADING
The following additional information is available regarding the above project:
Activity
A
B
C
D
E
F
G
a)
b)
c)
Time (wks)
(Regular)
2
8
4
1
2
5
6
Cost/week
(Regular)
5000
1875
5000
7000
4000
2000
2000
Labor/week
(Regular)
4
2
3
2
5
3
2
Time (wks)
(Crashed)
1
5
3
1
1
3
2
Crashing
cost/week
5000
2000
4000

7000
6000
6000
Identify the weekly budgetary requirements for this project assuming that all activities take their
regular times.
Plot the labor resource loading chart for this project assuming that all activities take their regular
times.
The “crashed time” given above is the minimum time required to perform the activity. For
example, activity B at its maximum crashed time, will require 5 weeks to complete. We would
like to complete the project in 10 weeks. Find the cheapest way of attaining this objective.