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12. Lab Week 12 Problem Solutions

# 12. Lab Week 12 Problem Solutions - Path Expected Time(days...

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Lab Week 12 Problem Solutions CHAPTER 8 PROJECT SCHEDULING: PERT/CPM 4. 5. Activity Schedule: Activity Earliest start time (EST) Latest start time (LST) Earliest finish time (EFT) Latest finish time (LST) Slack Critical activity A 0 0 5 5 0 Yes B 5 5 23 23 0 Yes C 5 20 18 33 15 D 23 37 26 40 14 E 23 23 33 33 0 Yes F 33 33 44 44 0 Yes G 33 40 37 44 7 H 44 44 53 53 0 Yes I 53 53 55 55 0 Yes CRITICAL PATH: A-B-E-F-H-I PROJECT COMPLETION TIME = 55 a. The maximum number of working days is 55 b. The critical activities: A,B,E.F.H,I. c.

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Activity Earliest start time Earliest finish time A 0 5 B 5 23 C 5 18 D 23 26 E 23 33 F 33 44 G 33 37 H 44 53 I 53 55 d. Activity Latest start time Latest finish time A 0 5 B 5 23 C 20 33 D 37 40 E 23 33 F 33 44 G 40 44 H 44 53 I 53 55 9. a.
b. All the start to end paths and their lengths: Path Length (days) 1. A-C-D-I-END* 5+8+2+8 = 23* 2. A-B-I-END 5+7+8 = 20 3. E-F-M-END 3+6+8 = 17 4. G-H-K-END 1+2+17 = 20 The critical path is A-C-D-I-END, its length is 23. c. The expected project duration is 23 days. 11. a. Draw the precedence network diagram: The primary concern is usually with activities on the critical path:

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Unformatted text preview: Path Expected Time (days) A-B-C-E 36 A-B-D 32 F-G-I 23 F-H-J-K 37 [critical path] Hence, activities F, H, J, and K should be controlled as tightly as possible. In addition, the manager must be concerned with other activities which have little slack. For instance, activities on path A-B-C-E- have a total of one day’s slack between them. b. Activity Earliest start time Latest start time Earliest finish time Latest finish time Slack Critical activity A 0 1 15 16 1 B 15 16 27 28 1 C 27 28 33 34 1 D 27 32 32 37 5 E 33 34 36 37 1 F 0 8 8 Yes G 8 22 16 30 14 H 8 8 17 17 Yes I 16 30 23 37 14 J 17 17 31 31 Yes K 31 31 37 37 Yes CRITICAL PATH: F-H-J-K PROJECT COMPLETION TIME = 37...
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12. Lab Week 12 Problem Solutions - Path Expected Time(days...

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