A construction company is preparing a PERT network for laying the fo museum. Given the following set of activities, their predecessor requir estimates of completion time: Activity Predecessor Time estimates(weeks) Most optimistic Most likely Most pessimistic A None 2 4 3 B None 8 8 0X0 8 A 7 11 9 D B 6 6 6 E 9 11 10 F 10 18 14 G C,D 11 11 11 H F,G 6 14 10 E 4 6 5 - 3 5 4 K H 1 a) Determine the expected time for each activity. b) Construct the network diagram for the scheme of activities give full information on earliest, latest start and finish times as we activity so as to satisfy the scheduling requirements. c) State the critical path and the project duration