5 0.44444 4 0.1111 3. 2 1 4 7. 2 F 5 8 5 0.4444 4 0.111 3. 11 wo decimal places at all times for expected times wh ermitted to round off to integers). network for this problem xpected Times. ctivity schedule (ES, EF, LS, and LF) as well as slack. state the critical path for this project. pected time and the variance of the project? ability that the project is completed in 22 or fewer weeks ld be set such that there is a 94% chance of completion v

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A new project is to be completed. The following activities need to be completed in the order
shown, where times are in weeks.
A new project is to be completed. The following activities need to be completed in the order
shown, where times are in weeks.
| Activity Immediate Optimistic Most Most
predecessors time
Variance
likely pessimistic
time
time
A
3.
4 0.11111
В
4
6.
0.44444
A,B
1
3
0.11111
D
B
1
3.
5
0.44444
E
A
3
0.11111
1
7
1
E,F
D,F
5
8
1
G,H
1
3.
5
0.44444
J
4 0.11111
You must use two decimal places at all times for expected times when they are not integer
(you are not permitted to round off to integers).
a) Draw the activity network for this problem
(b) Determine the Expected Times.
(C) Determine the activity schedule (ES, EF, LS, and LF) as well as slack.
(d) Determine and state the critical path for this project.
(e) What are the expected time and the variance of the project?
(f) What is the probability that the project is completed in 22 or fewer weeks
(9) What date should be set such that there is a 94% chance of completion within that time?
Transcribed Image Text:A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks. A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks. | Activity Immediate Optimistic Most Most predecessors time Variance likely pessimistic time time A 3. 4 0.11111 В 4 6. 0.44444 A,B 1 3 0.11111 D B 1 3. 5 0.44444 E A 3 0.11111 1 7 1 E,F D,F 5 8 1 G,H 1 3. 5 0.44444 J 4 0.11111 You must use two decimal places at all times for expected times when they are not integer (you are not permitted to round off to integers). a) Draw the activity network for this problem (b) Determine the Expected Times. (C) Determine the activity schedule (ES, EF, LS, and LF) as well as slack. (d) Determine and state the critical path for this project. (e) What are the expected time and the variance of the project? (f) What is the probability that the project is completed in 22 or fewer weeks (9) What date should be set such that there is a 94% chance of completion within that time?
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