Question

The county government has decided to redo the street you live on and plans to block the street off, which causes you and your neighbors considerable inconvenience. the project has three parallel paths defined as follows:

(i) path a-b-c-h to install street lights and electrical wiring that takes 27 days,
(ii) path a-d-e-h to install sidewalks with handicap capabilities that takes 26 days, and
(iii) path a-f-g-h to repave the street including storm drains that takes 28 days.

what path through the project network is the critical path?
O The expected duration of the project is 30 + 22 + 16 = 68 days.

O Path A-B-C-H is the critical path.

O Path A-D-E-H has the most slack time.

O Path A-F-G-H is the critical path.

Answer 1

The critical path for the county government project is Path A-F-G-H, as it has the longest duration of 28 days, and determines the overall project timeline.

Step-by-step explanation:

The critical path for the county government project is the path with the longest total duration, which dictates the minimum time needed to complete the overall project. This is determined by identifying the path with no slack time, meaning no time delay can be accommodated without affecting the project's completion date.

In the given scenarios, there are three paths to consider:

1. Path A-B-C-H: Takes 27 days
2. Path A-D-E-H: Takes 26 days
3. Path A-F-G-H: Takes 28 days

By comparing the durations, it is evident that Path A-F-G-H with 28 days is the longest and is therefore the critical path. This path dictates the project timeline as it takes the most time to complete out of the three options presented.

The critical path is the longest path in a project network and determines the minimum time required to complete the project. To find the critical path in this case, we need to determine the path that takes the longest time to complete.

Path A-B-C-H takes 27 days, Path A-D-E-H takes 26 days, and Path A-F-G-H takes 28 days. Since Path A-F-G-H has the longest duration, it is the critical path in this project network.

Answer: Path A-F-G-H is the critical path.