The figure below shows the network for a particular project which consists of four activities.

F2 N.M Deepak 03.11.2019 D1

Activity 

Normal time (days) 

Crash time (days) 

1-2

3

2

2-3

4

2

2-4

5

4

3-4

7

5

The minimum time required for the completion of the project is _________ 

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  1. 9 days
  2. 13 days
  3. 14 days
  4. 19 days

Answer (Detailed Solution Below)

Option 1 : 9 days
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Detailed Solution

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Calculation:

Case 1: Consider Normal duration:

F1 Killi 26.2.21 Pallavi D4

Critical activities = 1-2-3-4

Total normal duration of the project = Sum of normal durations of each activity on critical path = 14 days

Case 2: Consider crash duration:

F1 Killi 26.2.21 Pallavi D5

Critical activities = 1-2-3-4

Total minimum duration of the project = Sum of crash duration of each activity on critical path = 9 days

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