# Analyzing the given project times- CPM and PERT

Hello,

I need some assistance on my homework on the following AON diagrams. I have attached the word document and a jpeg what I've done so far. I need assistance on the second problem.

1) Given the information in the following table:

Activity Duration Predecessor

A 4 None

B 6 A

C 4 A

D 2 C

E 4 B

F 5 B, D

G 3 C

H 4 F, G

I 2 E, H

a) Construct the AON network diagram

b) Find each activity's ES, EF, LS and LS

c) Identify all paths. Which path is the critical path?

d) Calculate the slack for each activity.

e) How long will it take to complete the project?

2) In the following table task durations are given in weeks. Use the three point to find:

Activity Predecessor Optimistic Normal Pessimistic

A None 2 4 6

B None 3 5 9

C A 4 5 7

D A 4 6 10

E B,C 4 5 7

F D 3 4 8

G E 3 5 8

a) Construct the AON network diagram

b) Find each activity's ES, EF, LS and LS

c) Identify all paths. Which path is the critical path?

d) Calculate the slack for each activity.

e) How long will it take to complete the project?

https://brainmass.com/business/business-math/analyzing-given-project-times-cpm-pert-628982

#### Solution Preview

Please refer attached file for solutions.

1) Given the information in the following table:

Activity Duration Predecessor

A 4 None

B 6 A

C 4 A

D 2 C

E 4 B

F 5 B, D

G 3 C

H 4 F, G

I 2 E, H

a) Construct the AON network diagram

b) Find each activity's ES, EF, LS and LS

Activity On Critical Activity Earliest Earliest Latest Latest Slack

Name Path Time Start, ES Finish, EF Start, LS Finish, ...

#### Solution Summary

The solution depicts the steps to estimate the project completion time by CPM and PERT techniques.