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The following represents a project that should be scheduled using CPM:

IMMEDIATE TIMES (DAYS)
ACTIVITY PREDECESSORS a m b
A --- 1 2 3
B --- 1 4 7
C A 2 8 11
D A 1 5 9
E B 1 2 3
F C,D 1 4 7
G D,E 1 2 3
H F,G 2 3 3

What is the critical path?

a. A-C-F-H
b. A-D-G-H
c. B-E-G-H
d. A-D-F-H

1 Answer

4 votes

Final answer:

The critical path in this project is A-D-G-H.

Step-by-step explanation:

The critical path represents the sequence of activities that must be completed on time in order to complete the project as a whole. It is the longest path through the network diagram and helps determine the minimum amount of time needed to complete the project. To find the critical path, we need to calculate the earliest start time (ES), earliest finish time (EF), latest start time (LS), and latest finish time (LF) for each activity.

By calculating these values, we can identify the activities that have the same ES and LF values, indicating that they are on the critical path. Looking at the given network diagram, the critical path in this project is A-D-G-H. This means that these activities must be completed on time for the entire project to be finished without any delay.

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