a Follow a PERT/CPM model to identify the project network, activity schedule, critical activities, and the expected time for completing the project successfully. The expected completion times for each of the listed activities is based on the experiences of all the people on the team and is as follows: Activity Optimistic Most Probable Pessimistic А 0.25 0.75 ABUAHd fu В с D E G H 0.5 0.5 0 2 1 2 0.5 0.5 1 1.5 0.5 3 1.5 2.5 1 1.5 2.5 1 4 2 3 1.5 b. Dr. Ell is worried about completing all the required activities before the conference starts because she has never hosted a conference before. She wants to know, based on her team's estimates what is the probability of NOT completing the CRITICAL activities by the end of 8 weeks (NOTE: This means you need to look at the critical path ONLY, not all the paths).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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Dr. Ell has been given a budget of $5,000 to organize a conference at her university in less than 2.5 months'
time (9 weeks) via an educational grant. She has a team of 2 research assistants and after some deliberation,
they identified the following activities that are required to be completed for hosting a successful conference.
Immediate Predecessor
Activity
A
B
с
D
E
F
G
H
Description
Deciding Dates and Number of sessions
Determining Venue for conference
Sending out a Call for Papers
Inviting Special Speakers
Responding to presenters
Organizing Sessions with papers
Getting registrations and confirmations
Last minute Edits and Finalizing Program
Dr. Ell has approached you, her student, to help her figure this out, as a part of her Management Science
class assignment. Please give your respo with appropriate explanations, tables, and formulas, where
relevant, to the following questions:
BUAE U H
000000
1. PART 1. PERT/CPM with varying times
a. Follow a PERT/CPM model to identify the project network, activity schedule, critical
activities, and the expected time for completing the project successfully. The expected
completion times for each of the listed activities is based on the experiences of all the people
on the team and is as follows:
Activity Optimistic Most Probable Pessimistic
A
0.25
0.75
0.5
0.5
0
2
В
с
D
F
G
1
2
0.5
0.5
1
1.5
0.5
3
1.5
2.5
1
A, B
с
с
D, E, F
G
1.5
2.5
1
4
2
3
1.5
b. Dr. Ell is worried about completing all the required activities before the conference starts
because she has never hosted a conference before. She wants to know, based on her team's
estimates what is the probability of NOT completing the CRITICAL activities by the end of 8
weeks (NOTE: This means you need to look at the critical path ONLY, not all the paths).
Transcribed Image Text:Dr. Ell has been given a budget of $5,000 to organize a conference at her university in less than 2.5 months' time (9 weeks) via an educational grant. She has a team of 2 research assistants and after some deliberation, they identified the following activities that are required to be completed for hosting a successful conference. Immediate Predecessor Activity A B с D E F G H Description Deciding Dates and Number of sessions Determining Venue for conference Sending out a Call for Papers Inviting Special Speakers Responding to presenters Organizing Sessions with papers Getting registrations and confirmations Last minute Edits and Finalizing Program Dr. Ell has approached you, her student, to help her figure this out, as a part of her Management Science class assignment. Please give your respo with appropriate explanations, tables, and formulas, where relevant, to the following questions: BUAE U H 000000 1. PART 1. PERT/CPM with varying times a. Follow a PERT/CPM model to identify the project network, activity schedule, critical activities, and the expected time for completing the project successfully. The expected completion times for each of the listed activities is based on the experiences of all the people on the team and is as follows: Activity Optimistic Most Probable Pessimistic A 0.25 0.75 0.5 0.5 0 2 В с D F G 1 2 0.5 0.5 1 1.5 0.5 3 1.5 2.5 1 A, B с с D, E, F G 1.5 2.5 1 4 2 3 1.5 b. Dr. Ell is worried about completing all the required activities before the conference starts because she has never hosted a conference before. She wants to know, based on her team's estimates what is the probability of NOT completing the CRITICAL activities by the end of 8 weeks (NOTE: This means you need to look at the critical path ONLY, not all the paths).
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Sorry I forgot to add the second part. 

Activity
A
B
C
D
F
G
H
Crashed Activity
Time
0.25
0.5
1
0.25
2
1
2
0.5
Cost ($)
Normal Cras hing
750
250
750
750
500
1,000
500
500
1,000
750
1,250
1,200
1,500
1,500
1,000
1,000 |
b. Write a Linear Program to help Dr. Ell identify which, if any, activities should be crashed
and how much that would cost her to get everything completed within 8-week timeframe.
Remember, since she is paying personally for the extra crashing time, she wants to minimize
costs.
C. Provide a clear solution using the Excel SOLVER and present your case for her consideration
by showing an updated activity schedule, network diagram, and her personal cost if she decides
to implement the crashing of activities, such that the project is completed in 8 weeks.
Transcribed Image Text:Activity A B C D F G H Crashed Activity Time 0.25 0.5 1 0.25 2 1 2 0.5 Cost ($) Normal Cras hing 750 250 750 750 500 1,000 500 500 1,000 750 1,250 1,200 1,500 1,500 1,000 1,000 | b. Write a Linear Program to help Dr. Ell identify which, if any, activities should be crashed and how much that would cost her to get everything completed within 8-week timeframe. Remember, since she is paying personally for the extra crashing time, she wants to minimize costs. C. Provide a clear solution using the Excel SOLVER and present your case for her consideration by showing an updated activity schedule, network diagram, and her personal cost if she decides to implement the crashing of activities, such that the project is completed in 8 weeks.
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