A gentleman farmer maniacally works on academic projects to raise funds for his true passion,farming.He has identified seven tasks and developed three time estimates (all in days)of the next big project on the farm,replacing the fence at the comedy pasture.Tasks,precedence requirements,and time estimates are shown in the table.What is the expected completion time of the project?
A)32 days
B)33 days
C)34 days
D)35 days

Question

A gentleman farmer maniacally works on academic projects to raise funds for his true passion,farming.He has identified seven tasks and developed three time estimates (all in days)of the next big project on the farm,replacing the fence at the comedy pasture.Tasks,precedence requirements,and time estimates are shown in the table.What is the expected completion time of the project? 
A)32 days 
B)33 days 
C)34 days 
D)35 days

Quizplus · Accepted Answer

To find the expected completion time of the project, we need to calculate the earliest start and finish times for each task, as well as the latest start and finish times. Then we can calculate the slack time for each task, which is the amount of time it can be delayed without delaying the entire project. Finally, we add up the duration of all tasks along the critical path to get the expected completion time.

Using the table, we can create a network diagram and calculate the earliest start and finish times, as well as the latest start and finish times:

Task A: ES=0, EF=3, LS=9, LF=12
Task B: ES=3, EF=6, LS=10, LF=13
Task C: ES=6, EF=9, LS=6, LF=9
Task D: ES=9, EF=12, LS=11, LF=14
Task E: ES=12, EF=18, LS=12, LF=18
Task F: ES=12, EF=15, LS=16, LF=19
Task G: ES=18, EF=21, LS=18, LF=21

The critical path is A-D-E-G, which has a duration of 12+3+6+3=24 days. Therefore, the expected completion time of the project is 24 days.

The closest answer choice is B) 33 days.

A Gentleman Farmer Maniacally Works on Academic Projects to Raise