Concept explainers
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)
A CPM network.
Explanation of Solution
The CPM network for the data given in the Table 2.3 is shown below:
(b)
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)
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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Chapter 2 Solutions
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