# Abdm

Submitted By harikesh
Words 905
Pages 4
Problems
Question 1
#1 c only, Be sure to 1) identify all of the paths in the diagram and their lengths, 2) indicate which is the critical path, 3) work out the ES, EF, LS, LF for each activity, 4) what are the slack times for each activity?
Solution
Path | Expected Path Time | 1-2-5-12-16 | 44 | 1-3-6-13-16 | 39 | 1-3-7-14-16 | 41 | 1-4-8-9-10-11-15-16 | 35 | 1-4-8-10-11-15-16 | 38 | The critical path in this diagram is 44, that is 1-2-5-12-16 as the slack time is 0. Activity | ES | EF | LF | LS | Slack | 1-2 | 0 | 10 | 10 | 0 | 0 | 2-5 | 10 | 24 | 24 | 10 | 0 | 5-12 | 24 | 37 | 37 | 24 | 0 | 12-16 | 37 | 44 | 44 | 37 | 0 | | | | | | | 1-3 | 0 | 14 | 19 | 5 | 5 | 3-6 | 14 | 29 | 34 | 19 | 5 | 6-13 | 29 | 35 | 40 | 34 | 5 | 13-16 | 35 | 39 | 44 | 40 | 5 | | | | | | | 1-3 | 0 | 14 | 14 | 0 | 3 | 3-7 | 14 | 25 | 28 | 17 | 3 | 7-14 | 25 | 38 | 41 | 28 | 3 | 14-16 | 38 | 41 | 44 | 41 | 3 | | | | | | | 1-4 | 0 | 3 | 9 | 6 | 6 | 4-8 | 3 | 11 | 17 | 9 | 6 | 8-10 | 11 | 15 | 21 | 17 | 6 | 10-11 | 15 | 22 | 28 | 21 | 6 | 11-15 | 22 | 28 | 34 | 28 | 6 | 15-16 | 28 | 38 | 44 | 34 | 6 | | | | | | | 1-4 | 0 | 3 | 12 | 9 | 9 | 4-8 | 3 | 11 | 20 | 12 | 9 | 8-9 | 11 | 12 | 21 | 20 | 9 | 10-11 | 12 | 19 | 28 | 21 | 9 | 11-15 | 19 | 25 | 34 | 28 | 9 | 15-16 | 25 | 35 | 44 | 34 | 9 |

Question 7
Three recent college graduates have formed a partnership and have opened an advertising firm. Their first project consists of activities listed in the following table.
a. What is the probability that the project can be completed in 24 days or less? In 21 days or less?
Solution
Path | Activity | to | tm | tp | te | σ 2 | | a-c-e | a | 5 | 6 | 7 | 6 | 4/36 | | | c | 6 | 8 | 11 | 8.166 | 25/36 | 1.25 | | e | 5 | 6 | 9 | 6.333 | 16/36 | | d-f-g | d | 9 | 12 | 15 | 12 | 36/36 | |...