m Problem. (60 pts) A project is defined by the list of activities as shown below. a) Draw the AON network for the project, and show all times. Preceding Duration b) What are the critical activities? Why are they critical? Activity Activities (days) c) What is the project duration? 25 d) Now suppose that activity durations of C, F, E, I are subject to uncertainty with the A following time estimates available. 10 Activity a b B C 3 5 7 4 A F 16 19 22 E 13 14 21 12 B D 1 2 9 10 14 1) What is now the project duration? Explain the reasons. E ii) What is now the critical path? Why? 20 iii) What is the probability that the project will be completed in less than 47 days. F iv) What is the completion time corresponding to 67 % probability 5 G Hint. Rounding off should be 2 decimal places. 8 Z-score -1.00 -0.67 -0.44 0.44 0.67 1.00 Probability 1.67 0.1587 0.2514 0.3300 0.7486 0.8413 0.9525 B C CD DE,G H 6 E 0.6700 I b) critical activities are start - A CF End incy are critical because they have stackes equal to Zeroof they are Shortes path, the project duration is 49. 1) project duration is 49 , because when it change the duration of F I got Eartlast finish is yq which is the bigest number other parths? 11) the new critical path is yg because it is EF off and the bigest number of it is the EF of end