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relevant, to the following questions 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 Pessimistie A 0.25 0.75 B C D E F G H 0.5 0.5 0 2 1 2 as 0.5 1 1.5 0.5 3 1.5 2.5 1 HDITLIN 1.5 2.5 4 2 3 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).

relevant, to the following questions 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 Pessimistie A 0.25 0.75 B C D E F G H 0.5 0.5 0 2 1 2 as 0.5 1 1.5 0.5 3 1.5 2.5 1 HDITLIN 1.5 2.5 4 2 3 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
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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i am only needing assistance with doing this practice problemquestion 1 part a and b 

Dr. Ell has been given a budget of $5,000 to organize 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 responses, with appropriate explanations, tables, and formulas, where relevant, to the following questions: 1. PART 1. PERT/CPM with varying times a. Case Study Rubric 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 Optimis tic Most Probable Pessimis tic A 0.25 0.75 0.5 0.5 0 2 1 2 0.5 B C D E F G H 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). Activity A B с D E F G H 0.5 1 1.5 0.5 3 1.5 2.5 1 2. PART 2. Linear Programming and Crashing Model a. In order to have some peace of mind, Dr. Ell decides that she is willing to pay her Research Assistants extra money, out of her own pocket, in order to complete the project within 8 weeks. She has identified the following crashing options for each activity and wants you to assume that the Time t values are accurate and ignore the variances for now. A, B с с C D, E, F G 1.5 2.5 1 4 2 3 1.5 Crashed Activity Time 0.2 0.5 1 0.25 2 1 2 0.5 Criteria Cost (S) Normal Crashing 750 1,000 250 750 750 1,250 750 1,200 500 1,500 1,000 1,500 500 1,000 1,000 500 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. The rubric for this Case Study is given below (and is also placed in Canvas), so make sure you submit both the complete word file and the excel file showing all your work, when you submit this assignment for grading. Ratings AQU Pts
Transcribed Image Text:Dr. Ell has been given a budget of $5,000 to organize 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 responses, with appropriate explanations, tables, and formulas, where relevant, to the following questions: 1. PART 1. PERT/CPM with varying times a. Case Study Rubric 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 Optimis tic Most Probable Pessimis tic A 0.25 0.75 0.5 0.5 0 2 1 2 0.5 B C D E F G H 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). Activity A B с D E F G H 0.5 1 1.5 0.5 3 1.5 2.5 1 2. PART 2. Linear Programming and Crashing Model a. In order to have some peace of mind, Dr. Ell decides that she is willing to pay her Research Assistants extra money, out of her own pocket, in order to complete the project within 8 weeks. She has identified the following crashing options for each activity and wants you to assume that the Time t values are accurate and ignore the variances for now. A, B с с C D, E, F G 1.5 2.5 1 4 2 3 1.5 Crashed Activity Time 0.2 0.5 1 0.25 2 1 2 0.5 Criteria Cost (S) Normal Crashing 750 1,000 250 750 750 1,250 750 1,200 500 1,500 1,000 1,500 500 1,000 1,000 500 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. The rubric for this Case Study is given below (and is also placed in Canvas), so make sure you submit both the complete word file and the excel file showing all your work, when you submit this assignment for grading. Ratings AQU Pts
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
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