Question

Question 1 10 points Save Answer A project consists of three activities: A, B, and C. Activities A and B can begin at time 0 (start of the project), but activity C can only start after B is completed. The project ends when all activities are completed. The durations of the activities were simulated 10 times and the following values were obtained: Run 1 A Duration B Duration C Duration 51 48 17 60 48 19 2 3 30 39 19 4 31 22 5 30 14 6 41 17 6 44 48 31 16 12 12 43 41 7 8 44 10 9 45 60 9 10 10 Based on the simulated numbers given above, what is the average completion time of the whole project? Between 44 and 47 days. Between 47 and 50 days. O O O O O Between 50 and 53 days. Between 53 and 56 days. Between 56 and 59 days.

Answer 1

Answer 1:

Step 1:

From the information given in the question, we can draw a process diagram as mentioned below:

Activity A Completion Activity B Activity C

Step 2:

We can calculate the average completion time of the whole project as mentioned in the below table:

1 Run A Duration B Duration C Duration Completion Time 51 48 17 65 2 60 48 19 67 3 30 39 19 58 4 31 48 22 70 5 30 31 14 45 6 41 16 17 41 7 44 12 6 44 8 44 12 10 44 9 45 43 9 52 10 60 41 10 60 Total Completion Time (Days) 546 Average Completion Time (Days) 54.60

Where Completion time of a particular run = Maximum of [ A Duration, Sum (B Duration + C Duration) ], and

Average completion time = Total completion time of 10 runs / 10 runs = 460 days / 10 runs = 546 / 10 = 54.60 days

Hence, the correct answer to the given question would be option D or the second last option.

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