Answer Happy

QUESTION (32 marks) Consider the following project where times are in weeks. Table 1: Activity Times and Predecessors Immediate Expected Activity Predecessors Time 7.83 A B C D E F G H 1 J A,B B A с E.F D.F G, H Required 12 6.5 4.5 2 3 6.5 3 1 3.50 LF Slack Critical 12 12 18.50 18.5 16.5 25 7.83 9.83 21.5 18.5 21.5 18.5 21.5 21.5 28 21.5 28 ES 21.5 지지 28 EF LS 7.83 4.17 12 0 29 24,5 29 32.5 12.00 20.5 19.5 25 28 28 29 29 32.5 2 Variance 0.25 1.00 1.36 0.25 0.11 0.44 0.69 0.11 0.00 0.69 (a) Draw the activity network for this project. (8 marks) (b) Determine the slack in the table for each activity. (5 marks) (c) Indicate by yes or no the critical activities in the table and state the critical path (5 marks).
(d) What are the expected time of the Project( PROJECT Duration), variance and standard deviation of the project? (1+1+1=3 marks) e) what is the probability that the project can be completed in i) 3 weeks more than the expected time ii) Three weeks less than the expected time and iii) The exact time as the expected time (1+1+1=3 marks). f) If there is a LAG time of 3 weeks between ACTIVITIES B and D determine the critical path(3 marks and Project Duration (2 marks) AND RECALCULATE PART e) for this new expected time. (1+1+1=3 marks). Please show your workings or reasoning. A NEW NETWORK DIAGRAM CAN SUFFICE.