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 produce 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 - 10 11 12   selected musicians         B: Reserve site - 8 10 12 C: Manage travel logistics A 2 7 9   for music group         D: Screen & hire B 4 5 6   security personnel         E: Arrange advertising C 7 7 7   & ticketing         F: Hire parking staff A, D 8 9 16 G: Arrange concession sales E 6 7 11

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

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 produce 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 - 10 11 12
  selected musicians        
B: Reserve site - 8 10 12
C: Manage travel logistics A 2 7 9
  for music group        
D: Screen & hire B 4 5 6
  security personnel        
E: Arrange advertising C 7 7 7
  & ticketing        
F: Hire parking staff A, D 8 9 16
G: Arrange concession sales E 6 7 11

 

 

Activity
ES
LS
EF
LF
Slack
Activity
A
0.00
0.00
11.00
11.00
0.00
Yes
В
0.00
7.00
10.00
17.00 V
7.00 V
No
C
11.00
11.00
18.00
X
18.00
0.00 V
Yes
D
10.00
17.00 V
15.00 V
22.00 V
7.00
No v
E
18.00 X
18.00 X
25.00 X
25.00
0.00
Yes v
F
15.00
22.00 V
25.00
32.00 V
7.00
No v
25.00
25.00 X
32.00
32.00
0.00
Yes
c. Determine the critical path in the project network.
A-C-E-G V
d. What is the expected duration and variance of the critical path? If required, round your answer to two decimals.
Expected duration =
32 V
Variance =
2.16 V
e. What is the likelihood that the project will be completed within 30 days? If required, round your answer to four decimals. Note: Use Appendix B to identify the probability.
Likelihood =
-1.369
f. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? If required, round your answer to one decimal place.
A delay of 6 days to activity B will not
affect the time to complete this project because activity B has a slack of
7
days.
Transcribed Image Text:Activity ES LS EF LF Slack Activity A 0.00 0.00 11.00 11.00 0.00 Yes В 0.00 7.00 10.00 17.00 V 7.00 V No C 11.00 11.00 18.00 X 18.00 0.00 V Yes D 10.00 17.00 V 15.00 V 22.00 V 7.00 No v E 18.00 X 18.00 X 25.00 X 25.00 0.00 Yes v F 15.00 22.00 V 25.00 32.00 V 7.00 No v 25.00 25.00 X 32.00 32.00 0.00 Yes c. Determine the critical path in the project network. A-C-E-G V d. What is the expected duration and variance of the critical path? If required, round your answer to two decimals. Expected duration = 32 V Variance = 2.16 V e. What is the likelihood that the project will be completed within 30 days? If required, round your answer to four decimals. Note: Use Appendix B to identify the probability. Likelihood = -1.369 f. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? If required, round your answer to one decimal place. A delay of 6 days to activity B will not affect the time to complete this project because activity B has a slack of 7 days.
g. Using all paths through the project network, estimate the probability that the project will be completed within 30 days. Compare your answer to the answer in part e and explain. Round your answers for z values to
2 decimal places and for probability values to 4 decimal places.
For path B-D-F:
2.145
X
= Z
Cumulative probability
0.98 X
For path A-F:
4.76
X
= Z
Cumulative probability
P(entire project completed) =
1
X
Transcribed Image Text:g. Using all paths through the project network, estimate the probability that the project will be completed within 30 days. Compare your answer to the answer in part e and explain. Round your answers for z values to 2 decimal places and for probability values to 4 decimal places. For path B-D-F: 2.145 X = Z Cumulative probability 0.98 X For path A-F: 4.76 X = Z Cumulative probability P(entire project completed) = 1 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Knowledge Booster
Inventory management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.