A small project is composed of seven activities whose time estimates in hours are given below.
Activity 1-2 1-3 1-4 2-5 3-5 4-6 5-6
a 1 1 2 1 2 2 3
b 7 7 8 1 14 8 15
M 1 4 2 1 5 5 6
a=optimistic time. b=pessimistic time M=Most likely time.
i) Draw the project network.
ii) Find the expected duration and variance of each activity.
iii) Determine the critical path.
iv) Find the expected project completion time.
v) Calculate the probability that the project will be completed three weeks earlier than expected.
vi) If the project’s due date is 18 weeks, find the probability of not meeting the due date.
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