7. This question should be answered on the sheet provided. \begin{figure}[h] \end{figure} Figure 2 shows an activity network modelling the tasks involved in widening a bridge over the B451. The arcs represent the tasks and the numbers in brackets gives the time, in days, to complete each task.

1. Find the early and late times for each event.
2. Determine those activities which lie on the critical path and list them in order.
3. State the minimum length of time needed to widen the bridge. Each task needs a single worker.
4. Show that two men would not be sufficient to widen the bridge in the shortest time.
   (2 marks)
5. Draw up a schedule showing how 3 men could complete the project in the shortest time. \section*{Please hand this sheet in for marking}
6. Complete matching:

   \(P\)	\(\bullet\)	\(\bullet\)	\(D\)
   \(Q\)	\(\bullet\)	\(\bullet\)	\(G\)
   \(R\)	\(\bullet\)	\(\bullet\)	\(E\)
   \(S\)	\(\bullet\)	\(\bullet\)	\(L ( H )\)
   \(T\)	\(\bullet\)	\(\bullet\)	\(L\)

   \section*{Please hand this sheet in for marking}

7. \(x\)	\(a\)	\(b\)	\(( a - b ) < 0.01\) ?
   100	50	26	No
   -	26	14.923	No

   Final output
8. \(\_\_\_\_\)

9. \(x\)	\(a\)	\(b\)	\(( a - b ) < 0.01 ?\)
   100

10. \(\_\_\_\_\)
    \section*{Please hand this sheet in for marking}
11. 
    \includegraphics[max width=\textwidth, alt={}, center]{1e518ab0-9852-4d1d-a4c9-344a5edf9547-11_768_1689_427_221}
12. \(\_\_\_\_\)
13. \(\_\_\_\_\)

14. 0	5	10	15	20	25	30	35	40	45	50	55	60
    Worker 1
    Worker 2

15. 0	5	10	15	20	25	30	35	40	45	50	55	60
    Worker 1
    Worker 2
    Worker 3