The time estimates (in weeks) and precedence relationship between activities are

Question

The time estimates (in weeks) and precedence relationship between activities are shown below.

What is the critical path? (Type your answer with hyphens between the letters, no spaces)

What is the expected duration of this project, based on the calculated expected time (Te) of the critical path? (weeks, show 1 decimal):

What is the variance of the critical path? (weeks, provide 2 decimals in your answer)

What is the probability of completing this project in 19 weeks?(Provide 2 decimals in your answer, no % sign.)

Activity Optimistic Most Likely Pessimistic Immediate
Predecessors A 3 4 8 ---- B 2 6 10 A C 3 4 5 A D 5 8 11 B E 1 2 6 B, C F 5 7 12 C G 1 2 3 D, E, F

Explanation / Answer

Activity Pre O M P Expected Std Dev ES EF LS LF Critical Slack A NA 3 4 8 4.5 0.83 0 4.5 0 4.5 yes 0 B A 2 6 10 6 1.33 4.5 10.5 4.5 10.5 yes 0 C A 3 4 5 4 0.33 4.5 8.5 7 11 2.5 D B 5 8 11 8 1.00 10.5 18.5 10.5 18.5 yes 0 E B, C 1 2 6 2.5 0.83 10.5 13 16 18.5 5.5 F C 5 7 12 7.5 1.17 8.5 16 11 18.5 yes 2.5 G D, E, F 1 2 3 2 0.33 18.5 20.5 18.5 20.5 Yes 0 Critical path A-B-D-F-G 20.5 Ans A Te 20.5 m Ans B Expected time std dev 4.67 S Expected variance 21.78 S^2 Ans C p value Time completion x Pvalue NORMDIST(X,m,s,TRUE) For x= 19 days 19 37.39 Ans D

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