QUESTION 2 Management Decision System (MDS) is a consulting company specializing in the development of decision support systems. MDS has just obtained the contract to develop a computer system to assist the management of a large company in formulating its capital expenditure plan. The project leader has developed the following list of activities, immediate predecessors and estimated activity times. Activity Immediate Predecessors Time (weeks) Optimistic Most Likely Pessimistic A 7 9 17 B A 2 4 6 C A 4 5 6 D A 2 3 10 E B 1 2 3 F B 2 3 4 G C, F 1 2 3 H D 2 3 4 I H 2 3 4 J G. I 1 2 3 K E, J 1 2 3 a) Calculate the expected time and variance for each activity. b) Construct a network diagram for this project. c) Determine the critical path and project completion time. d) What is the probability that the project will be completed in 22 weeks?