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	1	2	9
3	1	1	4	7
4	1	1	2	6
5	2	2	4	6
6	3	3	5	7
7	4	3	6	12
8	5,6	2	3	4
9	8	1	4	7
10	7	3	4	5
11	9,10	5	6	7

a. 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

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

Expected completion time days

c. 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 5 by two days.

• No

• Yes

2. Reduce job 3 by three days.

• No

• Yes

3. Reduce job 6 by two days.

• No

• Yes

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

Probability