Table 1: Activity Times and Predecessors Activity Immediate Predecessors Optimistic Time (a) Most Likely Time (m) Pessimistic Time (b) Variance A 6 8 9 0.25 B 9 12 15 ? C A, B 4 6 11 1.36 D B 3 4.5 6 ? E A 1 2 3 ? F C 1 3 5 ? G E, F 5 6 10 ? H D, F 2 3 4 ? I G, H 1 1 1 ? J I 2 3 7 ?

Required (a) Draw the activity network diagram for this problem (either AON or AOA) [5 marks] (b) Determine the Expected Time and Variance for each activity. [3 marks] (c) Show the activity schedule (ES, EF, LS, and LF) as well as slack (in table). [4 marks] (d) Determine and state the critical path for this project. This must be based on your work in (c) and not by inspection. [2 marks] (e) What are the expected time and the variance of the project? [2 marks] (f) What is the probability the project will take between 30 and 32 weeks? [2 marks] (g) What time should be set such that there is a 90% chance of completion? [2 marks]