answer the survey Quations .short 3 answers

Solutions to Practice Problems—Project Management

3.

Activity Slack (weeks)

1 0

2 1

3 0

4 10

5 1

6 0

7 9

8 0

9 11

Paths: 1 → 3 → 7

4 + 8 + 2 = 14

1 → 3 → 6 → 8

4 + 8 + 5 + 6 = 23*

1 → 4 → 8

4 + 3 + 6 = 13

2 → 5 → 8

7 + 9 + 6 = 22

2 → 9

7 + 5 = 12

9.

Activity Time ES EF LS LF Slack

1 8 0 8 4 12 4

2 12 0 12 0 12 0

3 3 0 3 9 12 9

4 9 12 21 12 21 0

5 3 3 6 18 21 15

6 2 3 5 19 21 16

7 12 21 33 40 52 19

8 7 21 28 46 53 25

9 30 21 51 23 53 2

10 21 21 42 21 42 0

11 20 33 53 52 72 19

12 5 51 56 53 58 2

13 16 42 58 42 58 0

14 17 58 75 58 75 0

15 5 58 63 70 75 12

16 6 53 59 72 78 19

17 3 75 78 75 78 0

Critical path = 2 − 4 − 10 − 13 − 14 − 17

Project completion time = 78 wk.

Activity

Time

ES

EF

LS

LF

Slack

Standard

Deviation

Project 23 1.70

a 3 0 3 0 3 0 0.667

b 3.167 0 3.167 7.667 10.833 7.667 0.5

c 4.167 0 4.167 6.667 10.833 6.667 0.833

d 2.833 3 5.833 3 5.833 0 0.5

e 5 5.833 10.833 5.8333 10.833 0 1

f 1.833 10.833 12.667 15.167 17 4.333 0.167

g 5.833 10.833 16.667 10.833 16.667 0 0.833

h 3.833 12.667 16.5 17 20.833 4.333 0.5

i 4.167 16.667 20.833 16.667 20.833 0 0.5

j 2.167 20.833 23 20.833 23 0 0.5

Critical path = a − d − e − g − i − j = 23 days

What is the probability for the project to be completed in 21 days?

21 23 1.18

1.7

x Z

Z





− =

− = = −

P(x ≤ 21) = .119