Problem 5-12

The following table represents a plan for a project:

	PREDECESSOR JOB(S)	TIMES (DAYS)
JOB NO.		a	m	b
1		1	3	8
2	1	3	3	6
3	1	3	6	12
4	1	5	7	12
5	2	3	6	12
6	3	1	2	3
7	4	2	9	10
8	5,6	2	4	6
9	8	2	4	12
10	7	4	4	7
11	9,10	2	11	11

b. Indicate the critical path.

	1-4-7-10-11
	1-2-5-8
	1-2-5-8-9-11
	1-3-6-8-9-11

c. What is the expected completion time for the project? (Round your answer to 2 decimal places.)

Expected completion time days

d. You can accomplish any one of the following at an additional cost of $2,000 and if you will save $1,500 for each day that the earliest completion time is reduced, which action, if any, would you choose?

1. Reduce job 6 by two days.

	No
	Yes

2. Reduce job 4 by two days.

	Yes
	No

3. Reduce job 9 by two days.

	Yes
	No

e. What is the probability that the project will take more than 35 days to complete? (Round your answer to 2 decimal places.)

Probability