A new project related to a new machine part development has been assigned to you. The details of the activities are summarized in Table Q3(a). As a project manager, you are required to perform the following tasks: (a) Illustrate the network diagram in Activity on Node (AON) with Early Start Time and Late Start Time and, (5 marks) (b) determine the critical path and the path's duration. (2 marks) (c) The 4 days duration in Activity G is an assembly process without time allowance for learning process. This project required to produce 10 units. Factory manager suggested you to include learning rate of 70% in Activity G. Assume the first unit required 1 day for assembly. Determine the total time needed to assemble the 10 units in activity G and, (4 marks) (d) determine the updated critical path's duration. (1 mark) Table Q3(a): Activities of new machine part development Activity Predecessors Duration (days) A 2 B 1 A,B 3 D 4 E D 5 F D 4 G F 4 H G 2 (e) Table Q3(b) summarizes the probabilistic time estimated for activity A to H. Determine: (i) the expected time, variance and standard deviation for each activity, (3 marks) (ii) the probability the project will not be able to complete in 20 days and, (7 marks) (111) the completion time with 90% chance of success