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A project has six activities (A to F) with respective activity durations 7, 5, 6, 6, 8, 4 days. The network has three paths A-B, C-D and E-F. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is: 
  • a)
    1    
  • b)
    2    
  • c)
    3    
  • d)
Correct answer is option 'C'. Can you explain this answer?
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Option (c)
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Understanding the Problem:
In this problem, we are given a project with six activities (A to F) and their respective durations. We are also told that the network has three paths: A-B, C-D, and E-F. We need to determine the number of activities that need to be crashed in order to reduce the project duration by 1 day.

Calculating the Critical Path:
To determine the critical path, we need to find the longest path in the network. The critical path is the path that has the longest total duration and determines the minimum time required to complete the project.

To calculate the critical path, we need to find the total duration of each path in the network.

- A-B: The total duration of this path is 7 + 5 = 12 days.
- C-D: The total duration of this path is 6 + 6 = 12 days.
- E-F: The total duration of this path is 8 + 4 = 12 days.

Since all three paths have the same total duration, they are all critical paths.

Identifying Activities on the Critical Path:
To determine the activities on the critical path, we need to identify the activities that are common to all three paths.

From the given network, we can see that activities B, C, and E are common to all three paths. Therefore, activities B, C, and E are on the critical path.

Crashing the Activities:
To reduce the project duration by 1 day, we need to crash activities on the critical path.

Since we need to reduce the project duration by 1 day, we can crash one activity on the critical path. Therefore, the number of activities that need to be crashed is 1.

Conclusion:
In this problem, we are given a project with six activities and their respective durations. We determined the critical path by calculating the total duration of each path in the network. We identified the activities on the critical path and found that there are three activities common to all three paths. To reduce the project duration by 1 day, we need to crash one activity on the critical path. Therefore, the correct answer is option 'C' - 3.
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A project has six activities (A to F) with respective activity durations 7, 5, 6, 6, 8, 4 days. The network has three paths A-B, C-D and E-F. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is:a)1 b)2 c)3 d)6Correct answer is option 'C'. Can you explain this answer?
Question Description
A project has six activities (A to F) with respective activity durations 7, 5, 6, 6, 8, 4 days. The network has three paths A-B, C-D and E-F. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is:a)1 b)2 c)3 d)6Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A project has six activities (A to F) with respective activity durations 7, 5, 6, 6, 8, 4 days. The network has three paths A-B, C-D and E-F. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is:a)1 b)2 c)3 d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A project has six activities (A to F) with respective activity durations 7, 5, 6, 6, 8, 4 days. The network has three paths A-B, C-D and E-F. All the activities can be crashed with the same crash cost per day. The number of activities that need to be crashed to reduce the project duration by 1 day is:a)1 b)2 c)3 d)6Correct answer is option 'C'. Can you explain this answer?.
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