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# Critical Path

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In the attached problem I need to draw a decision tree and fill in the table. I also need to find the critical path and duration and slack.

See attached file for full problem description.

Activity Predecessor Duration Earliest Start Earliest Finish Late Start Late Finish Slack
A n/a 7
B n/a 5
C A 3
D B 5
E C 4
F C, D 4
G E, F 3
H G 1

Fill in the table, find the critical path and duration.

#### Solution Preview

Activity Predecessor Duration Earliest Start Earliest Finish Late Start Late Finish Slack
A n/a 7
B n/a 5
C A 3
D B 5
E C 4
F C, D 4
G E, F 3
H G 1

Determine ES, EF, LS, LF, and slack for each activity.

1. Earliest start time (ES): the earliest time an activity can begin without violation of immediate
predecessor requirements
2. Earliest finish time (EF): the earliest time at which an activity can end
3. Latest start time (LS): the latest time an activity can begin without delaying the entire project
4. Latest finish time (LF): the latest time an activity can end without delaying the entire project

We begin at network's origin to compute the ...

#### Solution Summary

This solution is comprised of a detailed explanation to find the critical path of this problem.

\$2.19

## Finding the Critical Path and Project Duration

The construction of a cottage requires the performance of certain tasks. The following table lists the various tasks with their priority relationship.

Activity o m p Predecessors
A 8 10 12 None
B 6 7 9 None
C 3 3 4 None
D 10 20 30 A
E 6 7 8 C
F 9 10 11 B,D,E
G 6 7 10 B,D,E
H 14 15 16 F
I 10 11 13 F
J 6 7 8 G,H
K 4 7 8 I,J
L 1 2 4 G,H

a. Calculate slack for each activity.
b. What is the critical path?
c. What is the project duration?
d. Determine the probability that the project will be finished in 80 days or less.

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