Question # 2 [20 marks] The following is a project is to be carried out by the ZenJet paper company. The activities to carry out the project, their predecessors and times are given, where the times for the activities are in weeks. Table 1: Activity Times and Predecessors Immediate Optimistic Most Likely Pessimistic Activity Predecessors Time (a) Time (m) 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) [4 marks] (d) Show the activity schedule (ES, EF, LS, and LF) as well as slack (in table). 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) [2 marks] What is the probability the project will take between 30 and 32 weeks? What time should be set such that there is a 90% chance of completion? (g) [2 marks]