# Calculating the critical path of a project

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I am looking for some help on this project management problem.

Since it's difficult to post the information in here please see the attachment.

Example of how it is done below is attached as the PDF's, This is all the data that I was given for the problem. I only attached the examples as the PDF's, the word attachment is the entire problem.

The following activities form the critical path: <<enter critical path>>

The slack for each activity is:

Activity ES EF LS LF Slack

a ## ## ## ## ##

b ## ## ## ## ##

c ## ## ## ## ##

d ## ## ## ## ##

e ## ## ## ## ##

f ## ## ## ## ##

g ## ## ## ## ##

h ## ## ## ## ##

i ## ## ## ## ##

j ## ## ## ## ##

k ## ## ## ## ##

l ## ## ## ## ##

The project completion time is: ## days

________________________________________

You were recently assigned to manage a project for your company. You were given information regarding the various activities in the project. In addition, you have asked your team to estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the following table.

Optimistic Most Likely Pessimistic Variance Variance Variance

Activity a Most Likely b TE ((b-a)/6)2 ((b-a)/3.29)2 ((b-a)/2.6)2

a 5 6 9 ##.## ##.## ##.## ##.##

b 4 4 6 ##.## ##.## ##.## ##.##

c 7 9 15 ##.## ##.## ##.## ##.##

d 6 6 6 ##.## ##.## ##.## ##.##

e 4 5 7 ##.## ##.## ##.## ##.##

f 12 16 17 ##.## ##.## ##.## ##.##

g 8 12 20 ##.## ##.## ##.## ##.##

h 7 9 16 ##.## ##.## ##.## ##.##

i 10 14 18 ##.## ##.## ##.## ##.##

j 6 12 20 ##.## ##.## ##.## ##.##

k 7 9 14 ##.## ##.## ##.## ##.##

Expected

Paths Duration Variance Variance Variance

xxx ##.## ##.## ##.## ##.##

xxx ##.## ##.## ##.## ##.##

xxx ##.## ##.## ##.## ##.##

xxx ##.## ##.## ##.## ##.##

xxx ##.## ##.## ##.## ##.##

Probability of critical path <= 38 ##.#% ##.#% ##.#%

90% chance of critical path ##.## ##.## ##.##

The following activities form the critical path: <<enter critical path>>

The project critical time is: ##.## days

The probability that the critical path will be completed in 38 days or less is: ##.#%

With a 90% probability of completion, the critical path is: ##.## days

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##### Solution Summary

The expert calculates the critical path of a project. The activity for critical paths are given.

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