a Using the data in the table, calculate the expected time (ET) and VAnace uI expected time (ET) Job Predecessor a mb variance number Job(s) 4 56 12 3 --- 23 4 36 9 C C, D 4512 C,E 14 7 b [Skotch the network diagram for the project on a sheet of paper YOU DO NOT HAVE TO SUBMIT THE SKETCH AS PART OF YOUR ANSWER] c List each unique path through the network For example, "A. B,C would indicate a path consisting of activity A, followed by activity B, which is followed by activity C d. Indicate the critical path (You can do this by inspecting the palhs- you do not bave to calculate ES, EF, LS, LF.) What is the expected completion time for the project? e. What is the probability that the project wil be completed in 25 days or less? 1. What is the probability that the project will take more than 25 days to complete?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question 9
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QUESTION 9
The folowing table represents the set of activities required to complele a project, along with their time estimates for PERT calculations
a Using the data in the table, calculate the expected time (ET) and variance for each activity
Predecessor
a mb
Inumber Job(s)
expected
time (ET)
Job
variance
50
45 6
12 3
23 4
369
45 12
A
C
B
D
B
C, D
C, E 14 7
F
b [Sketch the network diagram for the project on a sheet of paper YOU DO NOI HAVE TO SUBMIT THE SKETCH AS PART OF YOUR ANSWER].
c. List each unique path through the network For example, "A, B, C" would indicate a path consisting of activity A, followed by activity B, which is followed by activity C.
d. Indicate the critical path. (You can do this by inspecting the paths - you do not have to calculate ES, EF, LS, LF.) What is the expected completion time for the project?
e. What is the probability that the project will be completed in 25 days or less?
f. What is the probability that the project will take more than 25 days to complete?
rarch
W
2°C Sunny
ho
%23
%24
&
3
4
6
7
8.
9.
E
Y
4
5.
6)
F
K
L
D.
Transcribed Image Text:/mail/u/1/#inbox/FMfcgzGlIMH ZIZQjIFwwMxzWIkgFFB O Maps Q Search mail 1 of 73,747 11:39 AM (1 minute ag bright effah kyeremeh <brighteffahkyeremeh@gmail.com> to me - QUESTION 9 The folowing table represents the set of activities required to complele a project, along with their time estimates for PERT calculations a Using the data in the table, calculate the expected time (ET) and variance for each activity Predecessor a mb Inumber Job(s) expected time (ET) Job variance 50 45 6 12 3 23 4 369 45 12 A C B D B C, D C, E 14 7 F b [Sketch the network diagram for the project on a sheet of paper YOU DO NOI HAVE TO SUBMIT THE SKETCH AS PART OF YOUR ANSWER]. c. List each unique path through the network For example, "A, B, C" would indicate a path consisting of activity A, followed by activity B, which is followed by activity C. d. Indicate the critical path. (You can do this by inspecting the paths - you do not have to calculate ES, EF, LS, LF.) What is the expected completion time for the project? e. What is the probability that the project will be completed in 25 days or less? f. What is the probability that the project will take more than 25 days to complete? rarch W 2°C Sunny ho %23 %24 & 3 4 6 7 8. 9. E Y 4 5. 6) F K L D.
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