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ifferent activities that need to be performed to complete a diate predecessor for each activity and the Optimistic, e estimates for each activity. (Times listed are in weeks.) or Optimistic Most Likely 3 32563 6 1 8 5 3 76489 Pessimistic 7 4 15 6 5 9 10 associated with this problem. That is, determine the times and the slack for each activity. Also determine the ect completion time.

ifferent activities that need to be performed to complete a diate predecessor for each activity and the Optimistic, e estimates for each activity. (Times listed are in weeks.) or Optimistic Most Likely 3 32563 6 1 8 5 3 76489 Pessimistic 7 4 15 6 5 9 10 associated with this problem. That is, determine the times and the slack for each activity. Also determine the ect completion time.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Project Management: Activity Duration Analysis The following table lists seven different activities that need to be performed to complete a project. Also listed are the immediate predecessor for each activity and the Optimistic, Most Likely, and Pessimistic time estimates for each activity. (Times listed are in weeks.) #### Activity Time Estimates | Activity | Predecessor | Optimistic (weeks) | Most Likely (weeks) | Pessimistic (weeks) | |----------|--------------|--------------------|---------------------|---------------------| | A | - | 3 | 5 | 7 | | B | - | 2 | 3 | 4 | | C | A | 5 | 7 | 15 | | D | A | 6 | 6 | 6 | | E | C | 3 | 4 | 5 | | F | D | 1 | 8 | 9 | | G | B | 8 | 9 | 10 | ### Instructions Sketch and analyze the network associated with this problem. This includes: 1. Determining the earliest and latest start and finish times. 2. Calculating the slack for each activity. 3. Identifying the critical path. 4. Determining the overall project completion time. ### Steps to Analyze the Network 1. **Draw the Network Diagram**: Create nodes for each activity and use directed arrows to represent the precedence relationships. 2. **Calculate Early Start (ES) and Early Finish (EF) Times**: - For each activity with no predecessors (start activities), ES = 0. - EF = ES + Duration (most likely time). - For subsequent activities, ES = Latest EF of preceding activities. 3. **Calculate Late Start (LS) and Late Finish (LF) Times**: - Begin with the final activity of the network. LF = Project completion time. - LS = LF - Duration. - For preceding activities, LF = Earliest LS of succeeding activities. 4. **Calculate Slack Times**: - Slack = LS - ES or LF - EF. - Slack indicates the flexibility in the schedule of an activity without affecting the overall project completion time. 5. **Determine the Critical Path**: - The
Transcribed Image Text:### Project Management: Activity Duration Analysis The following table lists seven different activities that need to be performed to complete a project. Also listed are the immediate predecessor for each activity and the Optimistic, Most Likely, and Pessimistic time estimates for each activity. (Times listed are in weeks.) #### Activity Time Estimates | Activity | Predecessor | Optimistic (weeks) | Most Likely (weeks) | Pessimistic (weeks) | |----------|--------------|--------------------|---------------------|---------------------| | A | - | 3 | 5 | 7 | | B | - | 2 | 3 | 4 | | C | A | 5 | 7 | 15 | | D | A | 6 | 6 | 6 | | E | C | 3 | 4 | 5 | | F | D | 1 | 8 | 9 | | G | B | 8 | 9 | 10 | ### Instructions Sketch and analyze the network associated with this problem. This includes: 1. Determining the earliest and latest start and finish times. 2. Calculating the slack for each activity. 3. Identifying the critical path. 4. Determining the overall project completion time. ### Steps to Analyze the Network 1. **Draw the Network Diagram**: Create nodes for each activity and use directed arrows to represent the precedence relationships. 2. **Calculate Early Start (ES) and Early Finish (EF) Times**: - For each activity with no predecessors (start activities), ES = 0. - EF = ES + Duration (most likely time). - For subsequent activities, ES = Latest EF of preceding activities. 3. **Calculate Late Start (LS) and Late Finish (LF) Times**: - Begin with the final activity of the network. LF = Project completion time. - LS = LF - Duration. - For preceding activities, LF = Earliest LS of succeeding activities. 4. **Calculate Slack Times**: - Slack = LS - ES or LF - EF. - Slack indicates the flexibility in the schedule of an activity without affecting the overall project completion time. 5. **Determine the Critical Path**: - The
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