# 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.

https://brainmass.com/business/the-marketing-mix/finding-the-critical-path-project-duration-503897

#### Solution Preview

Please refer to attached Excel spreadsheet for this full solution.

a. Calculate slack for each activity.

(Please refer attached file)

b. What is the critical path?

Activities with zero slack constitute the critical ...

#### Solution Summary

PERT is most commonly used technique in project management for determining project duration and critical path. Solution to given problem depicts the steps to determine the critical path, project duration and desired probability in the given case.