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You have a project with the following activities. Activity A takes 40 hours and can start after the project starts. Activity B takes 25 hours and should happen after the project starts. Activity C must happen after activity A and takes 35 hours. Activity D must happen after activity B and C and takes 30 hours. Activity E must take place after activity C and takes 10 hours. Activity F takes place after activity E and takes 22 hours. Activities F and D are the last activities of the project. Which of the following is TRUE if activity B actually takes 37 hours?
a) The critical path is 67 hours
b) The critical path changes to start, B, D, End
c) The critical path is Start, A, C, E, F End
d) The critical path increases by 12 hoursThe correct answer is C.
You see that there are three paths through the network. They are Start, A, C, E, F, End with a duration of 40 + 35 + 10 + 22 or 107, Start, A, C, D, End with a duration of 40 + 35 + 30 or 105, and Start, B, D, End with a duration of 25 + 30 or 55. If the duration of activity B changes from 25 to 37, the activity will take 12 hours longer. As the activity is only on the third path, it will only change the duration of that path from 55 to 55 + 12 or 67 hours. Since the duration of the critical path is 107 hours, the delay with activity B will have no impact on the project timeline or the current critical path.
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