Project Management Critical Path Analysis

The assignment is based on a project management scenario where various tasks are assigned to different individuals with specific deadlines. The goal is to identify the critical path of the project by analyzing the dependencies between tasks and determining which ones cannot be delayed without delaying the entire project. A Gantt chart is provided to visualize the task schedule, and references are made to relevant texts on project management.

Running head: PROJECT MANAGEMENT
Project Management
Name of the Student
Name of the University
Author’s note

1PROJECT MANAGEMENT
Table of Contents
Answer to question b..................................................................................................................3
Project Plan............................................................................................................................3
Arrow On Network Diagram illustrating forward pass and backward pass calculation........4
Critical Path initially..............................................................................................................5
Answer to question c..................................................................................................................6
1. Project Plan........................................................................................................................6
1. Change in Critical Path......................................................................................................7
2. Project Plan........................................................................................................................8
2. Change in Critical Path......................................................................................................9
Answer to question d................................................................................................................10
Project Plan..........................................................................................................................10
Change in Critical Path........................................................................................................11
References................................................................................................................................12

2PROJECT MANAGEMENT
Answer to question b
Project Plan
Task
Name
Completion
time Start Finish Early
Start
Early
Finish
Late
Start
Late
Finish
Free
Slack Predecessors
Activity 19 wks Thu
3/8/18
Wed
7/18/18
Thu
3/8/18
Wed
7/18/18
Thu
3/8/18
Wed
7/18/18 0 wks
A 3 wks Thu
3/8/18
Wed
3/28/18
Thu
3/8/18
Wed
3/28/18
Thu
3/8/18
Wed
3/28/18 0 wks
B 4 wks Thu
3/8/18
Wed
4/4/18
Thu
3/8/18
Wed
4/4/18
Thu
3/15/18
Wed
4/11/18 0 wks
C 4 wks Thu
3/8/18
Wed
4/4/18
Thu
3/8/18
Wed
4/4/18
Thu
3/15/18
Wed
4/11/18 0 wks
D 4 wks Thu
3/29/18
Wed
4/25/18
Thu
3/29/18
Wed
4/25/18
Thu
3/29/18
Wed
4/25/18 0 wks 1
E 4 wks Thu
3/29/18
Wed
4/25/18
Thu
3/29/18
Wed
4/25/18
Thu
5/31/18
Wed
6/27/18 9 wks 1
F 2 wks Thu
4/5/18
Wed
4/18/18
Thu
4/5/18
Wed
4/18/18
Thu
4/12/18
Wed
4/25/18 1 wk 2
G 3 wks Thu
4/5/18
Wed
4/25/18
Thu
4/5/18
Wed
4/25/18
Thu
5/3/18
Wed
5/23/18 4 wks 2
H 4 wks Thu
4/5/18
Wed
5/2/18
Thu
4/5/18
Wed
5/2/18
Thu
4/26/18
Wed
5/23/18 2 wks 2
I 6 wks Thu
4/5/18
Wed
5/16/18
Thu
4/5/18
Wed
5/16/18
Thu
4/12/18
Wed
5/23/18 0 wks 3
J 4 wks Thu
4/5/18
Wed
5/2/18
Thu
4/5/18
Wed
5/2/18
Thu
5/3/18
Wed
5/30/18 0 wks 3
K 4 wks Thu
4/26/18
Wed
5/23/18
Thu
4/26/18
Wed
5/23/18
Thu
4/26/18
Wed
5/23/18 0 wks 4,6
L 5 wks Thu
5/24/18
Wed
6/27/18
Thu
5/24/18
Wed
6/27/18
Thu
5/24/18
Wed
6/27/18 0 wks 7,11
M 5 wks Thu
5/17/18
Wed
6/20/18
Thu
5/17/18
Wed
6/20/18
Thu
5/24/18
Wed
6/27/18 1 wk 8,9
N 4 wks Thu
5/3/18
Wed
5/30/18
Thu
5/3/18
Wed
5/30/18
Thu
5/31/18
Wed
6/27/18 4 wks 10
O 3 wks Thu
6/28/18
Wed
7/18/18
Thu
6/28/18
Wed
7/18/18
Thu
6/28/18
Wed
7/18/18 0 wks 5,12,13,14

3PROJECT MANAGEMENT
Arrow On Network Diagram illustrating forward pass and backward pass calculation

4PROJECT MANAGEMENT
Critical Path initially

5PROJECT MANAGEMENT
Answer to question c
1. Project Plan
Task D gets delayed to 2 weeks. So, overall project completion time changes from 19
weeks to 21 weeks.
Task Name Completion
time Start Finish Early
Start
Early
Finish
Late
Start
Late
Finish
Free
Slack Predecessors
Activity 21 wks
Thu
08-03-
18
Wed
01-08-
18
Thu
08-03-
18
Wed
01-08-
18
Thu
08-03-
18
Wed
01-08-
18
0 wks
A 3 wks
Thu
08-03-
18
Wed
28-03-
18
Thu
08-03-
18
Wed
28-03-
18
Thu
08-03-
18
Wed
28-03-
18
0 wks
B 4 wks
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
Thu
29-03-
18
Wed
25-04-
18
0 wks
C 4 wks
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
Thu
29-03-
18
Wed
25-04-
18
0 wks
D 6 wks
Thu
29-03-
18
Wed
09-05-
18
Thu
29-03-
18
Wed
09-05-
18
Thu
29-03-
18
Wed
09-05-
18
0 wks 1
E 4 wks
Thu
29-03-
18
Wed
25-04-
18
Thu
29-03-
18
Wed
25-04-
18
Thu
14-06-
18
Wed
11-07-
18
11 wks 1
F 2 wks
Thu
05-04-
18
Wed
18-04-
18
Thu
05-04-
18
Wed
18-04-
18
Thu
26-04-
18
Wed
09-05-
18
3 wks 2
G 3 wks
Thu
05-04-
18
Wed
25-04-
18
Thu
05-04-
18
Wed
25-04-
18
Thu
17-05-
18
Wed
06-06-
18
6 wks 2
H 4 wks
Thu
05-04-
18
Wed
02-05-
18
Thu
05-04-
18
Wed
02-05-
18
Thu
10-05-
18
Wed
06-06-
18
2 wks 2
I 6 wks
Thu
05-04-
18
Wed
16-05-
18
Thu
05-04-
18
Wed
16-05-
18
Thu
26-04-
18
Wed
06-06-
18
0 wks 3
J 4 wks
Thu
05-04-
18
Wed
02-05-
18
Thu
05-04-
18
Wed
02-05-
18
Thu
17-05-
18
Wed
13-06-
18
0 wks 3
K 4 wks Thu
10-05-
Wed
06-06-
Thu
10-05-
Wed
06-06-
Thu
10-05-
Wed
06-06-
0 wks 4,6

6PROJECT MANAGEMENT
18 18 18 18 18 18
L 5 wks
Thu
07-06-
18
Wed
11-07-
18
Thu
07-06-
18
Wed
11-07-
18
Thu
07-06-
18
Wed
11-07-
18
0 wks 7,11
M 5 wks
Thu
17-05-
18
Wed
20-06-
18
Thu
17-05-
18
Wed
20-06-
18
Thu
07-06-
18
Wed
11-07-
18
3 wks 8,9
N 4 wks
Thu
03-05-
18
Wed
30-05-
18
Thu
03-05-
18
Wed
30-05-
18
Thu
14-06-
18
Wed
11-07-
18
6 wks 10
O 3 wks
Thu
12-07-
18
Wed
01-08-
18
Thu
12-07-
18
Wed
01-08-
18
Thu
12-07-
18
Wed
01-08-
18
0 wks 5,12,13,14
1. Change in Critical Path

7PROJECT MANAGEMENT
2. Project Plan
Task G gets completed in 8 weeks. So, overall project completion time changes from
19 weeks to 20 weeks.
Task Name Completion
time Start Finish Early
Start
Early
Finish
Late
Start
Late
Finish
Free
Slack Predecessors
Activity 20 wks
Thu
08-03-
18
Wed
25-07-
18
Thu
08-03-
18
Wed
25-07-
18
Thu
08-03-
18
Wed
25-07-
18
0 wks
A 3 wks
Thu
08-03-
18
Wed
28-03-
18
Thu
08-03-
18
Wed
28-03-
18
Thu
15-03-
18
Wed
04-04-
18
0 wks
B 4 wks
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
0 wks
C 4 wks
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
Thu
22-03-
18
Wed
18-04-
18
0 wks
D 4 wks
Thu
29-03-
18
Wed
25-04-
18
Thu
29-03-
18
Wed
25-04-
18
Thu
05-04-
18
Wed
02-05-
18
0 wks 1
E 4 wks
Thu
29-03-
18
Wed
25-04-
18
Thu
29-03-
18
Wed
25-04-
18
Thu
07-06-
18
Wed
04-07-
18
10 wks 1
F 2 wks
Thu
05-04-
18
Wed
18-04-
18
Thu
05-04-
18
Wed
18-04-
18
Thu
19-04-
18
Wed
02-05-
18
1 wk 2
G 8 wks
Thu
05-04-
18
Wed
30-05-
18
Thu
05-04-
18
Wed
30-05-
18
Thu
05-04-
18
Wed
30-05-
18
0 wks 2
H 4 wks
Thu
05-04-
18
Wed
02-05-
18
Thu
05-04-
18
Wed
02-05-
18
Thu
03-05-
18
Wed
30-05-
18
2 wks 2
I 6 wks
Thu
05-04-
18
Wed
16-05-
18
Thu
05-04-
18
Wed
16-05-
18
Thu
19-04-
18
Wed
30-05-
18
0 wks 3
J 4 wks
Thu
05-04-
18
Wed
02-05-
18
Thu
05-04-
18
Wed
02-05-
18
Thu
10-05-
18
Wed
06-06-
18
0 wks 3
K 4 wks
Thu
26-04-
18
Wed
23-05-
18
Thu
26-04-
18
Wed
23-05-
18
Thu
03-05-
18
Wed
30-05-
18
1 wk 4,6
L 5 wks
Thu
31-05-
18
Wed
04-07-
18
Thu
31-05-
18
Wed
04-07-
18
Thu
31-05-
18
Wed
04-07-
18
0 wks 7,11

8PROJECT MANAGEMENT
M 5 wks
Thu
17-05-
18
Wed
20-06-
18
Thu
17-05-
18
Wed
20-06-
18
Thu
31-05-
18
Wed
04-07-
18
2 wks 8,9
N 4 wks
Thu
03-05-
18
Wed
30-05-
18
Thu
03-05-
18
Wed
30-05-
18
Thu
07-06-
18
Wed
04-07-
18
5 wks 10
O 3 wks
Thu
05-07-
18
Wed
25-07-
18
Thu
05-07-
18
Wed
25-07-
18
Thu
05-07-
18
Wed
25-07-
18
0 wks 5,12,13,14
2. Change in Critical Path

9PROJECT MANAGEMENT
Answer to question d
Project Plan
The activity O cannot get started until at least 4 days after the activity M has finished.
Therefore, the completion time for activity O is 5.4 weeks. The overall completion time of
the project does not get affected.
Task Name Duration Start Finish Early
Start
Early
Finish
Late
Start
Late
Finish
Free
Slack Predecessors
Activity 19 wks
Thu
08-03-
18
Wed
18-07-
18
Thu
08-03-
18
Wed
18-07-
18
Thu
08-03-
18
Wed
18-07-
18
0 wks
A 3 wks
Thu
08-03-
18
Wed
28-03-
18
Thu
08-03-
18
Wed
28-03-
18
Thu
08-03-
18
Wed
28-03-
18
0 wks
B 4 wks
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
Thu
15-03-
18
Wed
11-04-
18
0 wks
C 4 wks
Thu
08-03-
18
Wed
04-04-
18
Thu
08-03-
18
Wed
04-04-
18
Tue
13-03-
18
Mon
09-04-
18
0 wks
D 4 wks
Thu
29-03-
18
Wed
25-04-
18
Thu
29-03-
18
Wed
25-04-
18
Thu
29-03-
18
Wed
25-04-
18
0 wks 1
E 4 wks
Thu
29-03-
18
Wed
25-04-
18
Thu
29-03-
18
Wed
25-04-
18
Thu
31-05-
18
Wed
27-06-
18
9 wks 1
F 2 wks
Thu
05-04-
18
Wed
18-04-
18
Thu
05-04-
18
Wed
18-04-
18
Thu
12-04-
18
Wed
25-04-
18
1 wk 2
G 3 wks
Thu
05-04-
18
Wed
25-04-
18
Thu
05-04-
18
Wed
25-04-
18
Thu
03-05-
18
Wed
23-05-
18
4 wks 2
H 4 wks
Thu
05-04-
18
Wed
02-05-
18
Thu
05-04-
18
Wed
02-05-
18
Tue
24-04-
18
Mon
21-05-
18
2 wks 2
I 6 wks
Thu
05-04-
18
Wed
16-05-
18
Thu
05-04-
18
Wed
16-05-
18
Tue
10-04-
18
Mon
21-05-
18
0 wks 3
J 4 wks
Thu
05-04-
18
Wed
02-05-
18
Thu
05-04-
18
Wed
02-05-
18
Thu
03-05-
18
Wed
30-05-
18
0 wks 3

10PROJECT MANAGEMENT
K 4 wks
Thu
26-04-
18
Wed
23-05-
18
Thu
26-04-
18
Wed
23-05-
18
Thu
26-04-
18
Wed
23-05-
18
0 wks 4,6
L 5 wks
Thu
24-05-
18
Wed
27-06-
18
Thu
24-05-
18
Wed
27-06-
18
Thu
24-05-
18
Wed
27-06-
18
0 wks 7,11
M 5.4 wks
Thu
17-05-
18
Fri 22-
06-18
Thu
17-05-
18
Fri 22-
06-18
Tue
22-05-
18
Wed
27-06-
18
0.6 wks 8,9
N 4 wks
Thu
03-05-
18
Wed
30-05-
18
Thu
03-05-
18
Wed
30-05-
18
Thu
31-05-
18
Wed
27-06-
18
4 wks 10
O 3 wks
Thu
28-06-
18
Wed
18-07-
18
Thu
28-06-
18
Wed
18-07-
18
Thu
28-06-
18
Wed
18-07-
18
0 wks 5,12,13,14
Change in Critical Path

11PROJECT MANAGEMENT
References
Kerzner, H. and Kerzner, H.R., 2017. Project management: a systems approach to planning,
scheduling, and controlling. John Wiley & Sons.
Pinto, J.K., 2015. Project management: achieving competitive advantage. Prentice Hall.