ENGINEERING DESIGN PROCESS
3rd Edition
ISBN: 9781305253285
Author: HAIK
Publisher: CENGAGE L
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Textbook Question
Chapter 2.8, Problem 1P
Table 2.3 breaks down the number of major jobs or activities involved in painting a two-story house.
- a. Develop a CPM network.
- b. Determine the critical path of the network.
- c. Determine the expected project’s duration time period.
Table 2.3: Problem 1
(a)
Expert Solution
To determine
A CPM network.
Explanation of Solution
The CPM network for the data given in the Table 2.3 is shown below:
(b)
Expert Solution
To determine
The critical path of the network.
Answer to Problem 1P
The critical path activities are as follows.
| Critical Paths |
| A-B-D-E-G-H-I-K |
| A-B-D-E-G-H-J-K |
| A-C-D-E-G-H-I-K |
| A-C-D-E-G-H-J-K |
Explanation of Solution
Using Excel spread sheet the network path is framed and its critical path is identified and shown below:
| Activity | Early Start Time | Early Finish Time |
| Duration | Late Start Time | Late Finish Time |
| Float/Slack |
Formula:
The identified network paths are shown below with duration:
| Paths | Duration |
| A-B-D-E-F-H-J-K | 23 |
| A-B-D-E-G-H-I-K | 26 |
| A-B-D-E-G-H-J-K | 26 |
| A-C-D-E-F-H-I-K | 23 |
| A-C-D-E-F-H-J-K | 23 |
| A-C-D-E-G-H-I-K | 26 |
| A-C-D-E-G-H-J-K | 26 |
The path with the longest duration is the critical path. Hence, the critical path activities are as follows.
| Critical Paths |
| A-B-D-E-G-H-I-K |
| A-B-D-E-G-H-J-K |
| A-C-D-E-G-H-I-K |
| A-C-D-E-G-H-J-K |
(c)
Expert Solution
To determine
The expected project duration time.
Explanation of Solution
Refer part (b)
The expected project duration time is shown below:
| Paths | Duration |
| A-B-D-E-G-H-I-K | 26 |
| A-B-D-E-G-H-J-K | 26 |
| A-C-D-E-G-H-I-K | 26 |
| A-C-D-E-G-H-J-K | 26 |
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