Q$\mathrm{.}4\mathrm{.}1$ Network Diagram:

To draw up a network diagram for your project, you'll need to identify all the activities involved, their dependencies, durations, and constraints. Then, you can use this information to create a graphical representation of the project's workflow. Here's what you need to include:

Earliest Start $($ES$)$ and Earliest Finish $($EF$)$ of each activity: These are calculated based on the earliest start time of the activity and its duration. The earliest finish time is the sum of the earliest start time and activity duration.

Latest Start $($LS$)$ and Latest Finish $($LF$)$ of each activity: These are calculated based on the latest finish time of the activity and its duration. The latest start time is the latest finish time minus the activity duration.

Identify and note down the critical path: The critical path is the longest path through the network diagram and determines the shortest possible duration for the project. Activities on the critical path have zero slack, meaning any delay in these activities will directly impact the project's overall duration.

To find the critical path, you'll need to calculate the total duration of each path through the network and identify the one with the longest duration. Activities on this path constitute the critical path.

Q$\mathrm{.}4\mathrm{.}2$ Project Completion before Deadline:

To assess whether the project can be completed before the deadline based on the network diagram, you'll need to consider several factors:

Critical Path Analysis: If the critical path's duration is shorter than the project deadline, then theoretically, the project can be completed on time. However, any delays or issues along the critical path could jeopardize meeting the deadline.

Buffer Management: Even if the critical path duration is within the deadline, it's essential to consider potential risks and uncertainties. Building buffers into non$-$critical activities or critical path activities with some slack can help mitigate the impact of unexpected delays.

Resource Constraints: Evaluate whether resources are fully utilized or if there are any constraints that could impede progress. Resource leveling techniques can help optimize resource allocation to ensure efficient project execution.

Contingency Plans: Have contingency plans in place for potential risks identified during project planning. These plans can help address issues promptly and minimize their impact on the project schedule.