Final answer:
The given statement is false because the earliest finish time for the final activity on a project network is not necessarily the total completion of the project. It depends on the dependencies between activities and their durations (option b).
Step-by-step explanation:
The earliest finish time for the final activity on a project network is not necessarily the total completion of the project. It depends on the dependencies between activities and their durations.
Let's consider an example to understand this better:
- Activity A takes 3 days to complete.
- Activity B is dependent on Activity A and takes 2 days to complete.
- Activity C is dependent on Activity B and takes 4 days to complete.
In this network, the earliest finish time for the final activity (Activity C) is 9 days. However, the total completion time of the project would be 9 days + the earliest start time for Activity A. If Activity A can start on day 0, then the total completion time of the project would be 9 days. But if Activity A can only start on day 2, then the total completion time would be 11 days.
Therefore, the earliest finish time for the final activity on a project network is not necessarily the total completion of the project.
Hence, the answer is option b.