A2 June 2019 Q4

EdexcelCurrent spec9 marksCritical Path Analysis

4.

Figure 3: activity network with activities A(8), B(6), C(7), D(11), E(5), F(8), G(10), H(x), I(6), J(4), K(6), L(7), M(6) and four dummies, with an empty early/late event time box at each event; the late event time at the end of H is 25
Figure 3

The network in Figure 3 shows the activities that need to be undertaken to complete a project. Each activity is represented by an arc and the duration of the activity, in days, is shown in brackets. The early event times and late event times are to be shown at each vertex and one late event time has been completed for you.

The total float of activity H is 7 days.

(a) Explain, with detailed reasoning, why \(x = 11\) (2)
(b) Determine the missing early event times and late event times, and hence complete Diagram 1 in your answer book. (3)

[Diagram 1 in the answer book is a copy of Figure 3.]

Each activity requires one worker and the project must be completed in the shortest possible time using as few workers as possible.

(c) Calculate a lower bound for the number of workers needed to complete the project in the shortest possible time. (1)
(d) Schedule the activities using Grid 1 in the answer book. (3)
Grid 1: blank grid with a time axis from 0 to 34
Grid 1
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