The Center for Information Technology at State University has outgrown its office in Bates (B) Hall and is moving to Allen (A) Hall, which has more space. The move will take place during the 3-week break between the end of summer semester and the beginning of fall semester. Movers will be hired from the university's physical plant to move the furniture, boxes of books, and files that the faculty will pack. The center has hired a local retail computer firm to move its office comput- ers so they won't be damaged. Following is a list of activities, their precedence relationships, and probabilistic time estimates for this project: Activity Description Predecessor Most likely Optimistic estimate (a) Pessimistic estimate (b) estimate (m) a Pack A offices 1 3 5 b Network A offices 2 3 5 с Pack B offices 2 4 7 d Movers move A a 1 3 4 offices Paint and clean A d 2 5 8 offices f Move computers b. e 1 2 2 Movers move B b, c, e 3 6 8 offices Computer f 2 4 5 installation Faculty move and g 3 4 6 unpack j h, i 1 2 Faculty set up computers and offices a. Draw up a table including activity, expected time and variance and then construct the project network. b. Find the critical path. c. Determine the expected completion time for the project. d. Calculate the probability that the project will be completed within 3 weeks. OD h t

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Only part (d) is needed

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The Center for Information Technology at State University has outgrown its office in Bates (B)
Hall and is moving to Allen (A) Hall, which has more space. The move will take place during the
3-week break between the end of summer semester and the beginning of fall semester. Movers will
be hired from the university's physical plant to move the furniture, boxes of books, and files that
the faculty will pack. The center has hired a local retail computer firm to move its office comput-
ers so they won't be damaged. Following is a list of activities, their precedence relationships, and
probabilistic time estimates for this project:
Activity Description
Predecessor
Optimistic
estimate (a)
Most likely
estimate (m)
Pessimistic
estimate (b)
a
Pack A offices
1
3
5
b
Network A offices
2
3
5
с
Pack B offices
2
4
7
d
Movers move A
a
1
3
4
offices
Paint and clean A
d
2
5
8
offices
Move computers
b, e
1
2
g
Movers move B
b, c, e
3
6
8
offices
h
Computer
f
2
4
5
installation
Faculty move and
g
3
4
6
unpack
J
h, i
1
2
4
Faculty set up
computers and
offices
a. Draw up a table including activity, expected time and variance and then
construct the project network.
b. Find the critical path.
Determine the expected completion time for the project.
d. Calculate the probability that the project will be completed within 3 weeks.
e
f
100
26
Transcribed Image Text:The Center for Information Technology at State University has outgrown its office in Bates (B) Hall and is moving to Allen (A) Hall, which has more space. The move will take place during the 3-week break between the end of summer semester and the beginning of fall semester. Movers will be hired from the university's physical plant to move the furniture, boxes of books, and files that the faculty will pack. The center has hired a local retail computer firm to move its office comput- ers so they won't be damaged. Following is a list of activities, their precedence relationships, and probabilistic time estimates for this project: Activity Description Predecessor Optimistic estimate (a) Most likely estimate (m) Pessimistic estimate (b) a Pack A offices 1 3 5 b Network A offices 2 3 5 с Pack B offices 2 4 7 d Movers move A a 1 3 4 offices Paint and clean A d 2 5 8 offices Move computers b, e 1 2 g Movers move B b, c, e 3 6 8 offices h Computer f 2 4 5 installation Faculty move and g 3 4 6 unpack J h, i 1 2 4 Faculty set up computers and offices a. Draw up a table including activity, expected time and variance and then construct the project network. b. Find the critical path. Determine the expected completion time for the project. d. Calculate the probability that the project will be completed within 3 weeks. e f 100 26
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