ISRO Mechanical & Aerospace 2023 - Question 76

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Topic: Industrial Engineering

For a particular project, six activities are to be carried out. The precedence relation and duration of activities are as per the following table. The minimum project completion time (in days) is (A=6, B follows A=5, C follows A=8, D follows B=11, E follows C=6, F follows D,E=7)

  • A. 32
  • B. 27
  • C. 29
  • D. 30

Answer: C. 29

Explanation: There are two paths to completion in the network network: Path 1 is A -> B -> D -> F which takes 6 + 5 + 11 + 7 = 29 days. Path 2 is A -> C -> E -> F which takes 6 + 8 + 6 + 7 = 27 days. The minimum project completion time is dictated by the critical (longest) path, which is 29 days.

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