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What is the critical path and time duration?
A simple CPM network has three activities, A, B, and C. A is an immediate predecessor of B and of C. B is an immediate predecessor of C. The activity durations are A=4, B=3, C=8.



A. The critical path is A-B-C, duration 15.
B. The critical path is A-C, duration 12.
C. The critical path is A-B-C, duration 13.5
D. The critical path cannot be determined withoutknowing PERT expected activity times.
E. The network has no critical path.

This question is part of Operations Management Quiz 3
Asked by Operationsmanagement, Last updated: Jul 11, 2020

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2 Answers

O. Bickis

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O. Bickis, Corporate employee, MBA, Stockton

Answered Dec 14, 2018

The critical path is A-B-C, with a duration of 15 minutes. You don’t have to be well-versed in computer lingo to figure this one out (as I figured it out without much information on that half of the equation). Here’s how I figured this out.

The first thing I noticed was that the word “predecessor” was used, which means something comes before the other thing. That gave me the first clue that A comes before B and C, and that B must come before C. (Read the question again; A is the predecessor of B and C, but B is also the direct predecessor of C.) Then, I just added the duration times for the three paths, which gave me 15 minutes.

 

John Smith

John Smith

Answered Mar 14, 2017

The critical path is A-B-C, duration 15.
 

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