Instructions: Please do not handwrite the answers! ( 1a ). An activity has an ea
ID: 3119983 • Letter: I
Question
Instructions: Please do not handwrite the answers!
( 1a ). An activity has an earliest start time of 8 (days), earliest finish time of 14, latest start time of 20, and latest finish time of 26.
What is the slack time for the activity?
( b ). Consider an activity with these estimates for optimistic, most likely, and pessimistic time: 11, 15, 29. Find the mean value of the activity time.
(Please provide two significant digits after the decimal point)
( c ). Consider an activity with these estimates for optimistic, most likely, and pessimistic time: 11, 16, 26. Find the standard deviation of the activity time.
(Please provide two significant digits after the decimal point)
( d ). In a project activity network, activity F has three immediate predecessors - B, C, and E. The earliest completion times for B, C, and E are 4, 17, and 9 days. What is the earliest start time for F?
( e ). An activity E has thee immediate successors M, P, and R (that is, M, P, and R have E as one of their immediate predecessors). The latest finish times for M, P, and R are 22, 17, and 20 weeks, and each of them takes 4 weeks to complete. If E takes 5 weeks to complete, what is the latest start time (in weeks) for E?
( f ). A project completion time is estimated to be a Normal random variable with a mean of 70 days and a standard deviation of 6 days. At the end of the project, the team will be paid $100,000. If they finish before 60 days, there will be a bonus of $5,000. If the project is not completed before 80 days, there is a penalty of $10,000. What is the expected value of the amount that the team will receive?
An activity has an earliest start time of 8 (days), earliest finish time of 14, latest start time of 20, and latest finish time of 26. What is the slack time for the activity? Consider an activity with these estimates for optimistic, most likely, and pessimistic time: 11, 15, 29. Find the mean value of the activity time. (Please provide two significant digits after the decimal point) Consider an activity with these estimates for optimistic, most likely, and pessimistic time 11, 16, 26. Find the standard deviation of the activity time (Please provide two significant digits after the decimal point) In a project activity network, activity F has three immediate predecessors - ?, C, and E. The earliest completion times for ?, C, and E are 4, 17, and 9 days. What is the earliest start time for F? An activity E has thee immediate successors M, P, and R (that is, M, P, and R have E as one of their immediate predecessors). The latest finish times for ?, P, and R are|22, 17, and 20 weeks, and each of them takes 4 weeks to complete. If E takes 5 weeks to complete, what is the latest start time (in weeks) for E?Explanation / Answer
1.Ls-Es = 20 - 8 = 12
2.E = (O + 4M + P) /6= (11+60+29)/6 = 16.67
3.S.D = underroot [(O-E)^2 + 4(M-E)^2 + (P-E)^2]/6 = 4.49
4.If B,C and E are immediate predecessors of F then F cannot start before each of them finishes, hence Earliest start of F=17days