You are responsible for developing a supervisory trainingprogramme for a company. The following table shows therelationships between the activities that must be completed, alongwith estimates of the durations in days.
Table 1: Activity Times and Predecessors
| Activity | Immediate Predecessors | Optimistic Time (a) | Most Likely time (m) | Pessimistic Time (b) |
| A | - | 3 | 7 | 13 |
| B | - | 5 | 10 | 17 |
| C | A,B | 3 | 5 | 8 |
| D | C | 5 | 12 | 14 |
| E | C | 2 | 5 | 9 |
| F | E | 2 | 5 | 15 |
| G | E,F | 5 | 8 | 12 |
| H | D | 6 | 10 | 12 |
| I | E,H | 3 | 4 | 8 |
| J | G, I | 4 | 7 | 10 |
| | | | |
Required
(a) Draw the activity network for this problem (either AON orAOA)
(b) Determine the Expected Time and Variance for each activity(show in a table).
Round off times to two decimal places where fractional.
(c) Show the activity schedule (ES, EF, LS, LF) as well as slack(in table).
(d) Determine and state the critical path for this project. Thismust be based on
your work in c) and not by inspection.
(e) What are the expected time and the variance of theproject?
(f) What is the probability the project will be finished within 49days?
(g) What time should be set such that there is a 99% chance ofcompletion?
(h) What is the probability the project will take between 45 and 50days?
