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Consider the following statement associated with critical path: 1. Critical path is the most important sequence of activities which has no float and which determine the project completion period 2. Critical path is the largest path with shortest duration within which the project can be completed 3. The difference between early start time and late finish time must be equal to the activity duration 4. Cannot pass through dummy activity Which is among the above are correct statements? 

Consider the following statement associated with critical path: 1. Critical path is the most important sequence of activities which has no float and which determine the project completion period 2. Critical path is the largest path with shortest duration within which the project can be completed 3. The difference between early start time and late finish time must be equal to the activity duration 4. Cannot pass through dummy activity Which is among the above are correct statements?  Correct Answer 1, 2 and 3

Concept:

Total float:

The time span by which starting or finishing time of an activity can be delayed without delaying the completion of the project. It is the maximum available time in excess of the activity completion time.

Float is given by LST – EST or LFT – EFT

FT = (TjL - TiE) - tij

FT = LFT - EST

Where,

LFT = Latest start time

EST = Earliest start time

Explanation:

Critical path:

1) In CPM analysis, the path along which total floats are zero or minimum is called critical path.

2) Critical path is the largest path with shortest duration within which the project can be completed

3) There can be more than one critical path.

4) Critical path can pass through dummy activity.

5) All activities on this path are critical.

6) For the critical path the difference between early start time and late finish time must be equal to the activity duration.

We know that FT = (TjL - TiE) - tij and FT = LFT - EST = 

Total float for critical path = 0

∴ 0 = (TjL - TiE) - tij 

∴ (TjL - TiE) = tij 

i.e Difference between early start time and late finish time is equal to the activity duration.

Related Questions

Which of the following statements are comes for Network Critical Path? 1. The path of critical activities, which links the start and end events is critical path 2. It is the path of activities having zero float 3. It is the path of events having zero slack 4. The sum of the duration of the critical activities along a critical path gives the duration of the Project
Statement I The critical path has been defined as the longest duration path between the first and the last nodes of a project.
Statement II The duration of a project is not always the same as the duration of its critical path.
Statement III The earliest start and finish times of an activity are based on the condition that every activity will not be started and finished as early as possible.
Find the correct answer for given statements being correct or incorrect.
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Consider the following statements:
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1. Greater than Total Float.
2. Greater than Independent Float
3. Equal to Total Float.
4. Less than Independent Float
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