The following table represents a plan for a project:

	PREDECESSOR JOB(S)	TIMES (DAYS)
JOB NO.		a	m	b
1		2	3	4
2	1	1	7	13
3	1	4	5	12
4	1	3	3	9
5	2	3	4	5
6	3	1	2	3
7	4	2	9	10
8	5,6	1	3	5
9	8	2	4	12
10	7	3	4	5
11	9,10	3	10	11

b. Indicate the critical path.

• 1-3-6-8-9-11

• 1-2-5-8

• 1-4-7-10-11

• 1-2-5-8-9-11

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 $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 3 by three days.

• Yes

• No

2. Reduce job 7 by two days.

• Yes

• No

3. Reduce job 8 by four days.

• No

• Yes

e. What is the probability that the project will take more than 33 days to complete? (Round your answer to 2 decimal places.)

Probability