Question #1

Listed in the below table are the tasks and times for a capstone project.

Activity	Predecessor activities	Optimistic time, days	Most likely time, days	Pessimistic time, days
A	-	2	3	4
B	A	8	9	10
C	A	7	9	11
D	B	7	9	10
E	C	8	9	11
F	D, E	2.5	3	3.5

This projects critical path, expected time of completion in days, and variance of expected time in days, respectively, are:

a ) A-C-E-F, 24162416, 2.5

b) A-B-E-F, 24162416, 2.5

c) A-B-D-F, 23562356, 2.5

d) A-C-D-F, 23562356, 2.5

Q2) The O, M, and P times, in days, for the tasks of a project along its critical path are: 10-12-14, 12-21-36, 12-15-18, and 2-6-10. Similar times along a sub-critical path are: 2-9-10,12-15-24, and 12-18-24. By fast-tracking, the expected times of the tasks along the critical path were reduced by a total of 14 days. The expected time, in days, of project completion is:

a) 55

b) 41

c) 42

d) 43

Q3) A senior capstone project begins with the task of forming the team, whose times are O = 1 day, M = 2 days, P = 3 days. Next task of requirement analysis has O = 2 days, M = 3 days, P = 5 days. Subsequent two tasks are parallel: designing solution alternatives (whose times are: O = 5 days, M = 7 days, P = 9 days) and applying project management techniques (whose times are: O = 2 days, M = 3 days, P = 3.5 days). The subsequent task is selecting and building a solution (whose times are: O = 12 days, M = 14 days, P = 17 days). The final task is testing the solution, data gathering, and preparing the final report (whose times are: O = 3 days, M = 4 days, P = 5 days). The expected time of completing the capstone project and the standard deviation in the expected time, respectively in days, are:

1) 26/14, 1.633

b) 301/3, 1.633

c) 331/4, 1.633

4) 261/4, 2.668

Please answer it as soon as possible I don't have time I request you for solution and correct answers