The problem you've uploaded involves project management tasks, specifically about Critical Path Method (CPM). It gives a table that lists activities, their predecessors, and their durations, and asks to:

1. Draw an arrow diagram (network diagram) for the project.
2. Indicate the critical path.
3. For each non-critical activity, find the total and free float.

Let's break this down:

Table Overview:

• Activities: A to M
• Predecessors: Each activity's preceding tasks (what it depends on)
• Duration: How long each activity takes (in days)

Here’s a step-by-step guide on how to approach this:

Step 1: Draw an Arrow Diagram

1. Nodes represent events or milestones (start or finish of an activity).
2. Arrows represent activities (connecting nodes).

To create the network:

• Activity A has no predecessors, so it starts from node 1.
• Activity B depends on A, so draw an arrow from the end of A to the start of B, and so on for each activity following its predecessor.

Step 2: Indicate the Critical Path

1. The Critical Path is the longest path from start to finish. It shows the minimum project duration and includes activities with zero float.
2. To find it:
   • Calculate the Early Start (ES), Early Finish (EF), Late Start (LS), and Late Finish (LF) for each activity.
   • Activities where ES = LS (i.e., zero float) are on the critical path.

Step 3: Calculate Total and Free Float

1. Total Float: The total amount of time an activity can be delayed without affecting the project’s overall completion time. Formula: Total Float = LS - ES or LF - EF.
2. Free Float: The time an activity can be delayed without delaying the start of the next activity. Formula: Free Float = ES(next activity) - EF(current activity).

I can walk you through this with examples from the data, or you can provide more details if you'd like me to generate a detailed solution. Do you want a deeper explanation for any part?

5 Follow-up Questions:

1. Would you like me to calculate the critical path and float values for this project?
2. Are you familiar with the process for calculating early and late start/finish times?
3. Do you need help creating the arrow diagram (network diagram)?
4. Do you understand the difference between total float and free float, or would you like clarification?
5. Do you need an explanation of how to use this method for a real-life project?

Tip:

In project management, the critical path helps you identify activities that directly affect the project's completion time. Focus on those to ensure timely completion!