Activity networks and critical pathsAQA A-Level Further Maths: Mind map

Exam questions on Activity networks and critical paths

1. A project has seven activities, $A$ to $G$, shown in an activity-on-node network. The durations in days and the immediate predecessors are: $A$ 3 (none), $B$ 5 (none), $C$ 4 ($A$), $D$ 6 ($A$ and $B$), $E$ 2 ($C$), $F$ 4 ($C$ and $D$) and $G$ 3 ($E$ and $F$).
   Find the float on activity $C$ and explain what it means.2 marks
2. A different project has seven activities, $A$ to $G$. The durations in days and the immediate predecessors are: $A$ 4 (none), $B$ 6 (none), $C$ 5 ($A$), $D$ 3 ($A$), $E$ 4 ($B$ and $C$), $F$ 7 ($D$) and $G$ 2 ($E$ and $F$). The project has a minimum completion time of 16 days.
   Activity $C$ is delayed by 2 days. State the effect on the completion time of the project, with working.2 marks
3. A project has seven activities, $A$ to $G$, in an activity-on-node network. The durations in days and the immediate predecessors are: $A$ 5 (none), $B$ 3 (none), $C$ 4 ($A$), $D$ 6 ($A$), $E$ 2 ($B$ and $C$), $F$ 5 ($B$ and $D$) and $G$ 4 ($E$ and $F$).
   Find the earliest start times of activities $E$, $F$ and $G$.3 marks