Consider the following table of activities. Activity Immediate Predecessor A B с D E F G Start → A A B B B A From the schedule of activities shown in the following table, draw the PERT/CPM network. C, D E, F C D F G Finish Start → A B С D F G →Finish

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At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE has listed the requisite activities and related information in the following table (duration estimates measured in days).         Immediate   Most   Activity Predecessor(s) Optimistic Probable Pessimistic   A: Negotiate contract with - 10 11 12   selected musicians         B: Reserve site - 8 10 12 C: Manage travel logistics A 2 7 9   for music group         D: Screen & hire B 4 5 6   security personnel         E: Arrange advertising C 7 7 7   & ticketing         F: Hire parking staff A, D 8 9 16 G: Arrange concession sales E 6 7 11

11. Find a. The AOA network and the path with the longest expected duration. b. All event slacks. c. Critical path to event D. d. The probability of completing the path with the longest expected duration in 14 days. e. The effect if CD slips to 6 days; to 7 days; to 8 days. Activity ΤΕ AB AC AD DC CB DE CF BF IJ CE EF FG FH EH GH ᎬᎫ GI HJ a. Draw the AOA diagram. b. Find the critical path. c. Find the expected project completion time. 1 2 3 4 3 8 2 4 2 6 5 10 11 1 9 3 8 6

a) Prepare the Activity Node Diagram and identify the Critical Path b) Prepare Gantt ChartThanks

Use this node notation: B C D Activity A E F G H I J ES K L LS FF Activity (Duration) TF Duration 5 8 12 10 10 8 7 8 20 16 18 4 EF LF Preceded By A A B, C D C, D E, F E F G G H, I, J, K Assume Activity A starts on Day 1. 1. Draw the scheduling network based on the activities given in the table above. 2. What is the critical path? 3. What is the duration of the project? 4. What is the Total Float for Activity I? 5. What is the Free Float for Activity F? 6. What is the Free Float for Activity B? 7. What is the project's most flexible activity in terms of delays? 8. What is the latest day the contractor can start activity K?

Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 weeks in the most economical way. Activity A B с D E TI F G H Normal Time (weeks) A(3) 3 D(6) 4 6 6 6 5 7 AON network diagram B(4) 3 C(6) Normal Cost ($) 500 600 700 1,450 1,750 200 1,450 450 E(6) F(5) Crash Time (weeks) 2 3 3 4 4 5 5 3 G(7) Crash Cost ($) 890 710 1,180 2,070 2,290 200 1,740 450 H(3) Maximum Weeks Reduced 1 1 3 2 2 O 2 O Crash Cost per Week ($) 390 110 160 310 270 0 145 0