8 A motor racing team is undertaking a project to build next season's racing car. The project is broken down into 12 separate activities \(A , B , \ldots , L\), as shown in the precedence table below. Each activity requires one member of the racing team.
| Activity | Duration (days) | Immediate Predecessors |
| \(A\) | 7 | - |
| B | 6 | - |
| C | 15 | - |
| D | 9 | \(A , B\) |
| \(E\) | 8 | D |
| \(F\) | 6 | C, D |
| G | 7 | C |
| H | 14 | \(E\) |
| \(I\) | 17 | \(F , G\) |
| \(J\) | 9 | H, I |
| K | 8 | \(I\) |
| L | 12 | J, K |
8
- Complete the activity network for the project on Figure 3.
8
- (ii) Find the earliest start time and the latest finish time for each activity and show these values on Figure 3.
8
- Write down the critical path(s).
\section*{Figure 3}
Figure 3
\includegraphics[max width=\textwidth, alt={}, center]{22f11ce2-8d07-4f51-9326-b578d1e454f9-15_469_1360_356_338}
8 - Using Figure 4, draw a resource histogram for the project to show how the project can be completed in the shortest possible time. Assume that each activity is to start as early as possible.
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 4}
\includegraphics[alt={},max width=\textwidth]{22f11ce2-8d07-4f51-9326-b578d1e454f9-16_698_1534_541_251}
\end{figure}
8
- (ii) The racing team's boss assigns two members of the racing team to work on the project.
Explain the effect this has on the minimum completion time for the project.
You may use Figure 5 in your answer.
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 5}
\includegraphics[alt={},max width=\textwidth]{22f11ce2-8d07-4f51-9326-b578d1e454f9-16_704_1539_1695_248}
\end{figure}