9. At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully pro- duce this rock concert, SCOPE has listed the requisite activities and related information in the following table (duration estimates measured in days). Immediate Most Activity Predecessor(s) Optimistic Probable Pessimistic A: Negotiate contract with selected musicians B: Reserve site 8 10 15 7 8 9 C: Manage travel logistics for music group D: Screen & hire security personnel E: Arrange advertising & ticketing F: Hire parking staff G: Arrange concession sales A 5 10 В 3 3 3 В, С 1 5 9 D 4 7 10 E 3 8 10 640 / 939 Draw the project network. b. Compute the expected duration and variance of each acti Determine the critical path in the project network. What is the expected duration and variance of the critical path? What is the likelihood that the project will be completed within 30 days? f. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? а.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
icon
Related questions
Question
mat tne pr
13. Suppose that the following estimates of activity times (in weeks) were provided for the net-
SELF test
work shown in Problem 6:
ITTI
Activity
Optimistic
Most Probable
Pessimistic
A
4.0
5.0
6.0
B
2.5
3.0
3.5
6.0
7.0
8.0
D
5.0
5.5
9.0
E
5.0
7.0
9.0
2.0
3.0
4.0
G
8.0
10.0
12.0
H
6.0
7.0
14.0
614
Chapter 13 Project Scheduling: PERT/CPM
What is the probability that the project will be completed
a.
Within 21 weeks?
b.
Within 22 weeks?
с.
Within 25 weeks?
Transcribed Image Text:mat tne pr 13. Suppose that the following estimates of activity times (in weeks) were provided for the net- SELF test work shown in Problem 6: ITTI Activity Optimistic Most Probable Pessimistic A 4.0 5.0 6.0 B 2.5 3.0 3.5 6.0 7.0 8.0 D 5.0 5.5 9.0 E 5.0 7.0 9.0 2.0 3.0 4.0 G 8.0 10.0 12.0 H 6.0 7.0 14.0 614 Chapter 13 Project Scheduling: PERT/CPM What is the probability that the project will be completed a. Within 21 weeks? b. Within 22 weeks? с. Within 25 weeks?
9. At a local university, the Student Commission on Programming and Entertainment
(SCOPE) is preparing to host its first rock concert of the school year. To successfully pro-
duce this rock concert, SCOPE has listed the requisite activities and related information in
the following table (duration estimates measured in days).
Immediate
Most
Activity
Predecessor(s) Optimistic Probable Pessimistic
A: Negotiate contract with
selected musicians
B: Reserve site
10
15
8
C: Manage travel logistics
for music group
D: Screen & hire
A
5
6.
10
3
3
security personnel
E: Arrange advertising
& ticketing
F: Hire parking staff
G: Arrange concession sales
В, С
1
9.
D
4
7
10
E
3
8.
10
640 / 939
Draw the project network.
Compute the expected duration and variance of each acti
Determine the critical path in the project network.
d. What is the expected duration and variance of the critical path?
What is the likelihood that the project will be completed within 30 days?
If activity B is delayed by six days beyond its early start time, how does this affect the
expected project duration?
а.
b.
c.
е.
f.
Transcribed Image Text:9. At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully pro- duce this rock concert, SCOPE has listed the requisite activities and related information in the following table (duration estimates measured in days). Immediate Most Activity Predecessor(s) Optimistic Probable Pessimistic A: Negotiate contract with selected musicians B: Reserve site 10 15 8 C: Manage travel logistics for music group D: Screen & hire A 5 6. 10 3 3 security personnel E: Arrange advertising & ticketing F: Hire parking staff G: Arrange concession sales В, С 1 9. D 4 7 10 E 3 8. 10 640 / 939 Draw the project network. Compute the expected duration and variance of each acti Determine the critical path in the project network. d. What is the expected duration and variance of the critical path? What is the likelihood that the project will be completed within 30 days? If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? а. b. c. е. f.
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