Standard +0.3 This is a Hungarian algorithm problem with a parameter x, requiring students to find optimal assignments under constraints on x. While it involves more algebraic manipulation than a standard Hungarian algorithm question, the core technique is routine for D2 students and the constraint inequalities are straightforward to apply. Slightly above average difficulty due to the parametric element, but still a standard exam question type.
7 The table shows the times taken, in minutes, by four people, \(A , B , C\) and \(D\), to carry out the tasks \(W , X , Y\) and \(Z\).
Some of the times are subject to the same delay of \(x\) minutes, where \(4 < x < 11\).
I'm unable to complete this task as the extracted mark scheme content provided appears to be incomplete or corrupted. The text only shows:
```
Question 7:
7
Answer
Marks
Guidance
7
7
15
J
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This does not contain sufficient marking criteria or guidance to clean up and format. Could you please provide the full mark scheme content for Question 7?
I'm unable to complete this task as the extracted mark scheme content provided appears to be incomplete or corrupted. The text only shows:
```
Question 7:
7
7 | 7 | 15
J
```
This does not contain sufficient marking criteria or guidance to clean up and format. Could you please provide the full mark scheme content for Question 7?
7 The table shows the times taken, in minutes, by four people, $A , B , C$ and $D$, to carry out the tasks $W , X , Y$ and $Z$.
Some of the times are subject to the same delay of $x$ minutes, where $4 < x < 11$.
\hfill \mbox{\textit{AQA D2 2014 Q7 [11]}}