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Pert Cpm

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Submitted By kikip2527
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NOTE:
Please note that the workings are provided in the Excel worksheet. PERT/CPM TECHNIQUES

Task:
A. Use the estimates for Company A in Table 1.1 to do each of the following:
1. Determine the expected completion time for each of the ten project activities, showing all of your work.
Task Optimistic Time to Complete
(weeks) Probable Time to Complete
(weeks) Pessimistic Time to Complete
(weeks) Expected Time to Complete (weeks)
A 2 3 4 3.00
B 5 6 13 7.00
C 3 4 8 4.50
D 10 11 15 11.50
E 4 5 6 5.00
F 8 10 12 10.00
G 4 6 11 6.50
H 8 10 18 11.00
I 3 6 12 6.50
J 2 3 7 3.50

a. Determine the variance for each project activity, showing all of your work.
Task Optimistic Time to Complete
(weeks) Probable Time to Complete
(weeks) Pessimistic Time to Complete
(weeks) Variance
(weeks)
A 2 3 4 0.11
B 5 6 13 1.78
C 3 4 8 0.69
D 10 11 15 0.69
E 4 5 6 0.11
F 8 10 12 0.44
G 4 6 11 1.36
H 8 10 18 2.78
I 3 6 12 2.25
J 2 3 7 0.69

2. Prepare a PERT chart (network diagram) to identify the critical path for project completion.

From the above diagram, you will observe that the critical path (a critical path has slack of zero) is shown by Start-B-F-G-I-J-End.

3. Determine each of the following, showing all of your work or reasoning:
a. Expected duration of the entire project

The expected project duration is the sum total of all critical path activities.
B 7.00
F 10.00
G 6.50
I 6.50
J 3.50
Project Duration 33.50

b. Slack for project task A
ACTIVITY Earliest Start Earliest finish Latest start Latest finish Slack
A 0 3 6.5 9.5 6.5
Slack = Latest Finish – Earliest Finish; 9.5 – 3 = 6.5

c. Slack for project task H
ACTIVITY Earliest Start Earliest finish Latest start Latest finish Slack
H 18.5 29.5 19.00 30 0.5
Slack = Latest Finish – Earliest Finish; 30 – 29.5 = 0.5

d. The week project task F is

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