1
A group of workers is involved in a decorating project. The table shows the activities involved. Each worker can perform any of the given activities. The activity network for the project is given in Figure 1 below.

1. Find the earliest start time and the latest finish time for each activity, inserting their values on Figure 1.
2. Hence find:
   1. the critical path;
   2. the float time for activity \(D\).
3. \begin{figure}[h]
   \captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{172c5c92-4254-4593-b741-1caa83a1e833-02_647_1657_1640_180}
   \end{figure}
4. 1. The critical path is \(\_\_\_\_\)
   2. The float time for activity \(D\) is \(\_\_\_\_\)
5. Given that each activity starts as early as possible and assuming that there is no limit to the number of workers available, draw a resource histogram for the project on Figure 2 below, indicating clearly which activities are taking place at any given time.
6. It is later discovered that there are only 8 workers available at any time. Use resource levelling to construct a new resource histogram on Figure 3 below, showing how the project can be completed with the minimum extra time. State the minimum extra time required.
7. \begin{figure}[h]
   \captionsetup{labelformat=empty} \caption{Figure 2} \includegraphics[alt={},max width=\textwidth]{172c5c92-4254-4593-b741-1caa83a1e833-03_586_1708_922_150}
   \end{figure}
8. \begin{figure}[h]
   \captionsetup{labelformat=empty} \caption{Figure 3} \includegraphics[alt={},max width=\textwidth]{172c5c92-4254-4593-b741-1caa83a1e833-03_496_1705_1672_153}
   \end{figure} The minimum extra time required is \(\_\_\_\_\)