Critical Path

Correct Answer: The total project time will increase

The correct answer is 'The total project time will increase'. In project management, the critical path is the sequence of tasks that must be completed on schedule for the entire project to be completed on schedule. Thus, any delay in tasks on the critical path directly affects the total project time. Answer 'The total project time will decrease' is incorrect as increasing the duration of a task on the critical path rather increases the total project time. 'The total project time will remain the same' is also incorrect because an increase in task time along the critical path directly extends the project duration. Lastly, 'The total project time will vary based on other tasks' is misleading here as the focus is on the critical path where the task delay is occurring and not on other tasks that are not on the critical path.

Correct Answer: The longest duration path through the network diagram

The critical path in a project with multiple parallel paths is determined by the longest duration path through the network diagram. This is the correct answer because:

1. The critical path represents the sequence of activities that determines the overall project duration.
2. It is the path with zero float, meaning any delay in these activities will delay the entire project.
3. The longest duration path will always be the critical path, as it defines the minimum time required to complete the project.

The other options are incorrect:

- The number of activities in a path does not necessarily determine the critical path. A path with fewer activities but longer durations can be the critical path.

- Resource allocation does not directly determine the critical path. While resources are important, the critical path is based on activity durations and dependencies.

- The path with the least amount of float is a characteristic of the critical path, but it's not the primary determinant. The critical path has zero float, but this is a result of it being the longest duration path, not the cause.

In project management, understanding the critical path is crucial for effective scheduling, resource allocation, and risk management.

Correct Answer: The project's critical path will increase by 1 day.

The critical path in a project management scenario is the longest sequence of activities that must be finished for the project to be completed on time. Here, tasks A and B are performed in parallel, implying that they can be completed simultaneously. Task A takes 2 days, while task B initially takes 4 days. So, tasks A and B combined take the time equal to the longest one, which is 4 days originally. They are followed by task C that takes 3 days. Therefore, the total duration including the critical path is 7 days (4 days for B and 3 days for C). If the duration of task B is extended by 1 day, it now takes 5 days. As task B is on the critical path and its duration increases, it will extend the project's critical path by that same lab. So now the project will take 8 days in total (5 days for extended B and 3 days for C). The statement 'The project's critical path will decrease by 1 day.' is incorrect because increasing the time of a task on the critical path increases the project's duration. 'The project's critical path will remain unchanged.' is also not correct as task B is on the critical path and extending it changes the path's duration. 'Task B will no longer be a part of the project's critical path.' is not true because extending task B does not remove it from the critical path, but instead, it impacts the overall duration of the project. Therefore, the correct answer is 'The project's critical path will increase by 1 day.'