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Pert Cpm Essay

1410 words - 6 pages

Please note that the workings are provided in the Excel worksheet.


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 ...view middle of the document...

Weeks to Finish B = 7, so project task F is scheduled is week 7.

e. The week project task I is scheduled to finish
ACTIVITY Latest finish
I 30
Weeks to Finish B+ Weeks to Finish F + Weeks to Finish G + Weeks to Finish I
7 + 10 + 6.5 + 6.5 = 30

4. Determine the probability of completing this project in time for the product launch in 34 weeks, showing all of your work.
Task Expected time Variance (Weeks) Critical Path Total
B 7.00 1.78 1.78 7.00
F 10.00 0.44 0.44 10.00
G 6.50 1.36 1.36 6.50
I 6.50 2.25 2.25 6.50
J 3.50 0.69 0.69 3.50
END 2.55 33.50
Probability 57.76% =(34 – 33.5)/2.55

In determining the probability, of completing the project by 34 weeks) only the critical path activities’ duration and variance is relevant. The total duration and variance are as calculated in the above table. From the table, you will observe that the probability is 57.76% that the project will be completed in less than 34 weeks.

B. Assume that Company B has the same expected completion times for project activities as Company A. Use your results from part A1 and the data in Table 1.2 to determine the following, showing all of your work:
1. Maximum reduction in time
Task Expected Time (weeks) Crash
(weeks) Normal Cost Crash
Cost Maximum Reduction in Time
A 3 2 $8,400 $11,200 1
B 7 5 $28,000 $40,000 2
C 4.5 3 $18,000 $24,000 1.5
D 11.5 7 $36,800 $44,800 4.5
E 5 3 $14,000 $16,800 2
F 10 6 $20,000 $24,000 4
G 6.5 5 $18,200 $28,000 1.5
H 11 8 $44,000 $64,000 3
I 6.5 4.5 $26,000 $36,000 2
J 3.5 3 $21,000 $36,000 0.5

2. Crash cost per week
Task Expected Time to Complete
(weeks) Normal Cost Crash
Cost Crash Cost per week
A 3 2 $8,400 $11,200 $2,800
B 7 5 $28,000 $40,000 $6,000
C 4.5 3 $18,000 $24,000 $4,000
D 11.5 7 $36,800 $44,800 $1,778
E 5 3 $14,000 $16,800 $1,400
F 10 6 $20,000 $24,000 $1,000
G 6.5 5 $18,200 $28,000 $6,533
H 11 8 $44,000 $64,000 $6,667
I 6.5 4.5 $26,000 $36,000 $5,000
J 3.5 3 $21,000 $36,000 $30,000
Activity A can be crashed a total of 1 weeks (normal time - crash time = 3 -2 = 1 weeks) at a total crash cost of $2,800 (crash cost - normal cost =...

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