Question

# A partially solved PERT problem is detailed in the table below. Times are given in weeks....

A partially solved PERT problem is detailed in the table below. Times are given in weeks.

 Activity Immediate Predecessor(s) Optimistic Most Likely Pessimistic A -- 8 10 15 B -- 7 8 9 C A 5 6 10 D A 3 3 3 E B,D 1 5 9 F B,D 4 7 10 G C 3 8 10 H E 5 7 9 I E 4 5 8 J F 2 5 8 K H, I 1 3 6

a) Calculate the expected duration (D), and variance of each activity.

b) Calculate ES, EF, LS, LF, S) for each activity.

 ET Variance ES EF LS LF S A B C D E F G H I J K

c) Which activities form the critical path?

A) ADEHK

B) ACG

C) ABEK

D) ADEIK

E) BFJ

F) BEHK

 d) What is the estimated time of the critical path? ( …… ) weeks e) If the project is due to be completed in 35 weeks, what is the probability that the project will be completed on the due date? ( … %) ? f) If the project manager wants at least a 95% probability that the project will be completed on the due date, what is the shortest project due date that will satisfy the manager? ( …… ) weeks g) Which activity (ies) can be delayed 1.67 weeks without impacting the expected project completion date? A) I B) A      C) C      D) F and G      E) I and J h) How many week(s) can you delay the activity J, without impacting the expected project completion date? ( ….. ) weeks

Answer #1

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