Activity A B C D E F G H I J Time wks 10 5 6 16 3 15 12 5 8

Activity

A

B

C

D

E

F

G

H

I

J

Time (wks)

10

5

6

16

3

15

12

5

8

6

a) The Earliest Start (ES) time of Activity I = Blank 1 weeks

b) The Latest Start (LS) time of Activity B = Blank 2 weeks

c) The Slack time of Activity C = Blank 3 weeks

d) The Earliest Finish (EF) time of Activity H = Blank 4 weeks

e) The Latest Finish (LF) time of Activity B = Blank 5 weeks

f) The Project Completion time = Blank 6 weeks

Solution

As the project network diagram is not visible, it is not possible to calculate the Earlest start time, finish time and Lateest start time and finish time for the given question. The instruction provided below will help you to calculate the required answers.

First calculate the Project duration by moving forward and deciding the longest path as critical path. The project duration will be the length of critical path. During this calculation only one will be able get the a set of start and finish time of each activity. Then move backward through the project network for each path and calculate the start and finish for each activity. Remember to start calculating from the end activity with project duration and gradually decreasing it. These calculation will provide you with Earliest Start and finish & Latest Start and Finish for each activity. To calculate slack for any activity use the below formula:

Slack = Latest start time of the activity – Earliest start time of the activity or Latest Finish time of the activity-Earliest start time of the activity

Remember, the critical activities or the activities on critical path will always have 0 slack value.

The project completion time is nothing but the length of the critical path.