A2 June 2023 Q6

EdexcelCurrent spec9 marksCritical Path Analysis

6. The precedence table below shows the twelve activities required to complete a project.

ActivityImmediately preceding activities
A–
B–
C–
DA
EA, B
FD, E
GA, B, C
HF, G
ID, E
JD, E
KF, G, I, J
LI
(a) Draw the activity network described in the precedence table, using activity on arc. Your activity network must contain the minimum number of dummies only. (5)
Figure 6: partially completed cascade chart on a time axis from 0 to 26: B 0-6, E 6-12, I 12-19, L 19-24 on the top row; A 0-5 with float to 6; C 0-7 with float to 15; D 5-9 with float to 12; G 7-10 with float to 18; H 16-22 with float to 24
Figure 6

Figure 6 shows a partially completed cascade chart for the project. The non-critical activities F, J and K are not shown in Figure 6.

The time taken to complete each activity is given in hours and the project is to be completed in the minimum possible time.

(b) State the critical activities. (1)

Given that the total float of activity F is 2 hours,

(c) state the duration of activity F. (1)

The duration of activity J is \(x\) hours, and the duration of activity K is \(y\) hours, where \(x \gt 0\) and \(y \gt 0\)

(d)
(i) State, in terms of \(y\), the maximum possible total float for activity K.
(ii) State, in terms of \(x\) and \(y\), the total float for activity J. (2)
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