AQA Further AS Paper 2 Discrete 2020 June — Question 7 4 marks

Exam BoardAQA
ModuleFurther AS Paper 2 Discrete (Further AS Paper 2 Discrete)
Year2020
SessionJune
Marks4
TopicLinear Programming

7 Robyn manages a bakery. Each day the bakery bakes 900 rolls, 600 teacakes and 450 croissants.
The bakery sells two types of bakery box which contain rolls, teacakes and croissants, as shown in the table below.
Type of
bakery box
Number of
rolls
Number of
teacakes
Number of
croissants
Profit per
box sold
Standard1263\(\pounds 2.50\)
Luxury669\(\pounds 2.00\)
Robyn formulates a linear programming problem to find the maximum profit the bakery can make from selling the bakery boxes. 7
  1. Part of a graphical method to solve this linear programming problem is shown on Figure 1. \begin{figure}[h]
    \captionsetup{labelformat=empty} \caption{Figure 1} \includegraphics[alt={},max width=\textwidth]{21ed3b4e-a089-4607-b5d6-69d8aac03f31-14_1283_1196_1267_424}
    \end{figure} 7
    1. Explain how the line shown on Figure 1 relates to the linear programming problem. Clearly define any variables that you introduce.
      [0pt] [3 marks]
      7
  2. (ii) Use Figure 1 to find the maximum profit that the bakery can make from selling bakery boxes.
    7
  3. State an assumption that you have made in part (a)(ii).
    [0pt] [1 mark]
    \includegraphics[max width=\textwidth, alt={}, center]{21ed3b4e-a089-4607-b5d6-69d8aac03f31-17_2493_1732_214_139}