The following table represents a plan for a project:

Job No. Predecessor Job(s)

Times (days)

a m b 1

2 3

4 5

6 7

8 9

10 11

—

1 1

1 2

3 4

5, 6 8

7 9, 10 2

1 4

3 1

1 1

2 2

3 5

3 2

5 4

3 2

8 4

4 4

7 4

3 12 11 5

3 9

6 12 5

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?

e. What is the probability that the project will take more than 30 days to complete?

 LO.1