The following table represents a plan for a project:

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

b. Indicate the critical path.

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

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 $1,500 and if you will save $1,000 for each day that the earliest completion time is reduced, which action, if any, would you choose?

1. Reduce job 5 by two days.

	Yes
	No

2. Reduce job 6 by two days.

	No
	Yes

3. Reduce job 7 by four days.

	Yes
	No

e. What is the probability that the project will take more than 29 days to complete? (Round your answer to 2 decimal places.)

Probability