AskSia

Plus

Develop a network diagram and calculate the critical path of the following acti...

Aug 13, 2024

Solution by Steps

step 1

First, we need to identify the activities and their durations from the table provided. The activities are: 1 (5 days), 2.1 (1 day), 2.2.1 (20 days), 2.2.2 (5 days), 2.2.3 (21 days), 2.3.1 (15 days), 2.3.2 (10 days), 2.3.3 (1 day), 2.4 (10 days), and 3 (1 day)

step 2

Next, we will create a network diagram based on the predecessors listed for each activity. This will help us visualize the sequence of activities and their dependencies

step 3

After constructing the network diagram, we will calculate the earliest start (ES) and finish (EF) times for each activity, as well as the latest start (LS) and finish (LF) times. This will allow us to determine the total float for each activity

step 4

The critical path is identified as the longest path through the network diagram, which has zero float. We will sum the durations of the activities along this path to find the total duration of the project

Answer

The critical path is determined to be 2.2.1 → 2.3.1 → 2.3.2 → 2.3.3 → 3, with a total duration of 52 days.

Key Concept

The critical path method (CPM) is used to determine the longest sequence of dependent activities and the minimum project duration.

Explanation

By identifying the critical path, we can focus on the activities that directly impact the project timeline, ensuring efficient project management.