Etta Washington
Instructor: William Irvin
22 November 2015
Application Assignment #5
20. A series of activities must be completed in a coordinated fashion to complete a landscaping overhaul. The following table shows the activities their optimistic, most likely and pessimistic durations and their immediate predecessors Activity A m b Immediate Predecessors
A 4 8 12 ---
B 4 10 13 A
C 7 14 18 B
D 9 16 20 B
E 6 9 12 B
F 2 4 6 D,E
G 4 7 13 C,F
H 3 5 7 G
I 2 3 4 G,H A- Determine the expected times and variances for each activity
B- Construct a project network for this problem
C- Determine the EST, EFT, LST, LFT and slack for each activity. Also determine the critical path and project completion time.
D- What is the probability that the project will be finished in less than 57 days?
E- What is the probability that the project will need at least 50 days?

Activity | Early Start | Early Finish | Late Start | Late Finish | Slack | A | 0 | 8 | 0 | 8 | 0 | B | 8 | 17.5 | 8 | 17.5 | 0 | C | 17.5 | 31 | 23.5 | 37 | 6 | D | 17.5 | 33 | 17.5 | 33 | 0 | E | 17.5 | 26.5 | 24 | 33 | 6.5 | F | 33 | 37 | 33 | 37 | 0 | G | 37 | 44.5 | 37 | 44.5 | 0 | H | 44.5 | 49.5 | 44.5 | 49.5 | 0 | I | 49.5 | 52.5 | 49.5 | 52.5 | 0 | | Project | 52.5 | | | |

Variance | Critical Variance | 1.77777778 | 1.78 | 2.25 | 2.25 | 3.36111111 | | 3.36111111 | 3.36 | 1 | | 0.44444444 | 0.44 | 2.25 | 2.25 | 0.44444444 | 0.44 | 0.11111111 | 0.11 | Project | 10.64 | Std.dev | 3.26 |

Probabilities | | z | p | <57 | 1,37963555 | 0,9162 | = 50 | -0,7664642 | 0,2206 | 22. The expected project completion time for the construction of a pleasure yacht is 21 months and the project variance is 6. What is the probability that the project will: (a) Require at