AS June 2024 Q2

EdexcelAS paperCurrent spec8 marksCritical Path Analysis

2. A company manages an awards evening.

The table below lists the activities required to set up the room for the evening, and their immediately preceding activities. Each activity requires exactly one person.

ActivityImmediately preceding activities
A-
BA
CA
DC
EC
FB, D, E
GE
HB
JH, F, G

Figure 1 shows a partially completed activity network used to model the project. Each activity is represented by an arc.

Figure 1: partial activity network with A from the start node, B and C from the end of A, and D from the end of C
Figure 1
(a) Add the remaining five activities to Diagram 1 in the answer book to complete the activity network, using exactly two dummies. (3)

[Diagram 1 in the answer book is a copy of Figure 1.]

In addition to setting up the room, the company must prepare the meals for the guests. Figure 2 shows the activity network for preparing the main courses. The numbers in brackets represent the time, in minutes, to complete each task.

Figure 2: activity network with activities L(17), M(18), N(11), X(11), P(9), Q(12), S(7), R(15), T(12), W(5), U(23), V(20), Y(12) and three dummies
Figure 2
(b) Complete Diagram 2 in the answer book to show the early event times and the late event times for the activity network shown in Figure 2. (3)
Diagram 2: the network of Figure 2 with an empty box at each event for the early event time (top) and late event time (bottom)
Diagram 2
(c) State the critical activities. (1)
(d) Given that the main courses need to be ready to be served (with all activities completed) at 8 pm, state the latest time that activity R can start. (1)
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