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Times (Days) Job Number Predecessor Jobs a m b 1 - 2 3 4 2 1 1 2 3 3 1 4 5 12 4

ID: 459409 • Letter: T

Question

                           Times (Days)
Job Number   Predecessor Jobs   a   m   b
1 - 2   3   4
2 1 1   2   3
3 1 4   5   12
4 1 3   4   11
5 2 1   3   5
6 3 1   2   3
7 4 1   8   9
8 5,6 2   4   6
9 8 2   4   12
10 7 3   4   5
11 9,10 5   7   8

a. Construct the appropriate network diagram

b. Indicate the critical path
c. What is the expected completion time for the project?
d. You can accomplish any one of the following at an additional cost of $1,500
(1)   Reduce Job 5 by two days
2. Reduce Job 3 by two days
3. Reduce Job 7 by two days
If you will save $1,000 for each day that the earliest completion time is reduced, which action, if any, would you choose and why?
e.   What is the probability that the project will be completed in 30 days?

Explanation / Answer

Total time taken by project - 25.83 days

Critical path - 1-4-7-10-11

a m b E Estimate 1 2 3 4 3 2 1 2 3 2 3 4 5 12 6 4 3 4 11 5 5 1 3 5 3 6 1 2 3 2 7 1 8 9 7 8 2 4 6 4 9 2 4 12 5 10 3 4 5 4 11 5 7 8 6.83
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