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. (attached) You must use two decimal places at all times for expected times when they are not integer (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. (g) What date should be set such that there is a 94% chance of completion within that time?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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. (attached)

You must use two decimal places at all times for expected times when they are not integer

(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.

(g) What date should be set such that there is a 94% chance of completion within that time? 

Optimistic | Most Most
likely pessimistic
time
Activity Immediate
Variance
predecessors time
time
A
2
4 0.11111
B
4
6 0.44444
А,В
1
2
3
0.11111
D
В
1
3
5
0.44444
E
A
2
3
4
0.11111
F
C
1
4
7
1
G
E,F
2
H
D,F
8
1
I
G,H
1
3
0.44444
J
I
3
4
0.11111
3.
22-
Transcribed Image Text:Optimistic | Most Most likely pessimistic time Activity Immediate Variance predecessors time time A 2 4 0.11111 B 4 6 0.44444 А,В 1 2 3 0.11111 D В 1 3 5 0.44444 E A 2 3 4 0.11111 F C 1 4 7 1 G E,F 2 H D,F 8 1 I G,H 1 3 0.44444 J I 3 4 0.11111 3. 22-
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