Question: A project has been subdivided into five activities. Their immediate predecessors & the estimated activity durations (optimistic, most likely, & pessimistic) are shown in the
A project has been subdivided into five activities. Their immediate predecessors & the estimated activity durations (optimistic, most likely, & pessimistic) are shown in the table below.
| Activity | Immediate Predecessor | Estimated duration (in days) |
| A | - | 1, 2, 3 |
| B | A | 1, 4, 7 |
| C | B | 3, 3, 3 |
| D | A, C | 1, 2, 15 |
| E | B, C | 1, 4, 19 |
(a) Draw the project network in the AON representation.
(b) Calculate all earliest and latest starting & finishing times & the total floats of all activities. What is the critical path? What is its duration?
(c) Calculate the variance & standard deviation on the critical path.
(d) Calculate the probability that the project will be finished between 12 & 16 days.
(e) What would happen, if the time estimates for activity E were to be revised to 2, 5, 14? Explain in one short sentence. Note: There are no calculations required to answer this subquestion.
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