Final answer:
The student's question involves constructing a project network to find the expected completion time, which is done by determining the project's critical path. The expected time is the length of the longest path in the network diagram, which can involve estimating task durations if required.
Step-by-step explanation:
The question pertains to the construction of a project network, which is a graphical representation of a project's milestones and the sequential relationship between them. The expected completion time for a project is determined by analyzing the longest path through the network, known as the critical path. This involves identifying the earliest start and finishing times for each activity and then calculating the total time from start to finish.
Constructing a network involves laying out all the tasks required to complete the project and linking them according to their dependencies, typically shown in a diagram using nodes and arrows. The nodes represent activities, and the arrows show the precedence relationships between these activities. You can use techniques such as the Critical Path Method (CPM) for determining the path that takes the longest to complete, hence the 'critical' path, which directly influences the total project duration.
The expected completion time of the project is the duration of the critical path. If the project information includes estimations for the optimistic, most likely, and pessimistic duration of each task, you can calculate expected time for each task using the formula E = (O + 4M + P) / 6, where E is the expected time, O is the optimistic time, M is the most likely time, and P is the pessimistic time.