Quanitive Analysis

Business and Marketing
[Name of Student]
[Name of Institute]
PERT/CPM Analysis of Project A
Task Detail Table
The expected time can be estimated using the following formula:
Expected Time= (a+4m+b)6
Variance= (b-a)236
Task

Preceding Activity

Optimistic Time to Complete (weeks) ‘a`

Probable Time to Complete (weeks) ‘m`

Pessimistic Time to Complete (weeks) ‘b`

Expected Time to Complete (weeks)

Variance (weeks)

Start







A

Start

2

3

4

3

0.11

B

Start

5

6

13

7

1.77

C

A

3

4

8

4.5

0.69

D

B

10

11

15

11.5

0.69

E

C

4

5

6

5

0.11

F

B

8

10

12

10

0.44

G

F

4

6

11

6.5

1.36

H

D, E

8

10

18

11

2.78

I

G

3

6

12

6.5

2.25

J

H, I

2

3

7

3.5

0.69

End







PERT Chart
-1905085725ACEHStartBDFGIJEnd00ACEHStartBDFGIJEnd
From the above figure, it is obvious that the critical path is B - F - G - I - J.
Expected Duration of the Entire Project
Expected time for the path A - C- E - H - J = 3 + 4.5 + 5 + 11 + 3.5 = 27 weeks
Expected time for the path B - D - H - J = 7 + 11.5 + 11 + 3.5 = 33 weeks
Expected time for the path B - F - G - I - J = 7 + 10 + 6.5 + 6.5 + 3.5 = 33.5 weeks
The critical path is B - F - G - I - J, therefore, the expected duration of the entire project is 33.5 weeks.
Slack for Project Task A
Slack time for project task A is estimated as follows:
Slack time=Latest Finish-Earliest Finish
Slack time=9.5-3=6.5
Slack for Project Task H
Slack time for project task H is estimated as follows:
Slack time=Latest Finish-Earliest Finish
Slack time=30-29.5=0.5
Sched...