Problem 5-12

The following table represents a plan for a project:

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

b. Indicate the critical path.

• A) 1-4-7-10-11
• B) 1-3-6-8-9-11
• C) 1-2-5-8-9-11
• D) 1-2-5-8

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 4 by two days.

• Yes

• No

2. Reduce job 2 by four days.

• No

• Yes

3. Reduce job 9 by four days.

• Yes

• No

e. What is the probability that the project will take more than 34 days to complete? (Round your answer to 2 decimal places.)

Probability _____