plumiLinear programming: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on DD Linear programming, 2019–2025, with its mark scheme and examiner’s report.
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All 15 questions on Linear programming, as a list
- June 2025, Paper 3 Discrete, Q2 (1 mark): The simplex algorithm is used to solve a linear programming problem, which results in the following correct simplex tableau. P x y r s value 1 2 3 0 5 3 0 25 0
- June 2025, Paper 3 Discrete, Q7 (6 marks): A large bakery makes and sells two different types of loaf: malt and rye. Each day, the bakery makes x malt loaves and y rye loaves. The bakery wants to maximis
- June 2025, AS Paper 2 Discrete, Q8 (7 marks): A linear programming problem is represented by the following: Maximise P = 3x + 2y subject to x + y ≤ 20 3x + y ≥ 30 2y ≥ x 8 (a) Draw the feasible region R for
- June 2024, Paper 3 Discrete, Q9 (6 marks): Janet and Samantha play a zero-sum game. The game is represented by the following pay-off matrix for Janet. Samantha Strategy S1 S2 S3 Janet J1 2 7 6 J2 5 5 1 J
- June 2024, AS Paper 2 Discrete, Q6 (4 marks): A Young Enterprise Company decides to sell two types of cakes at a breakfast club. The two types of cakes are blueberry and chocolate. From its initial market r
- June 2023, Paper 3 Discrete, Q3 (1 mark): A student is solving a maximising linear programming problem. The graph below shows the constraints, feasible region and objective line for the student’s linear
- June 2023, Paper 3 Discrete, Q5 (8 marks): A student is solving the following linear programming problem. Minimise Q = −4x − 3y subject to x + y × 520 2x − 3y × 570 and x × 0, y × 0 5 (a) The student wan
- June 2023, AS Paper 2 Discrete, Q3 (4 marks): Ben is packing eggs into boxes, labelled Town Box or Country Box. Each Town Box must contain 10 chicken eggs and 2 duck eggs. Each Country Box must contain 4 ch
- June 2022, AS Paper 2 Discrete, Q8 (10 marks): Alli is planting garlic cloves and leek seedlings in a garden. The planting density is the number of plants that are planted per m2 The planting densities and c
- November 2021, Paper 3 Discrete, Q7 (14 marks): Avon and Roj play a zero-sum game. The game is represented by the following pay-off matrix for Avon. Roj Strategy R1 R2 R3 Avon A1 3 1 4 A2 2 3 2 A3 6 2 1 The z
- November 2021, AS Paper 2 Discrete, Q8 (5 marks): A linear programming problem is set up to maximise P = ax + y where a is a constant. P is maximised subject to three linear constraints which form the triangula
- November 2020, Paper 3 Discrete, Q7 (11 marks): An engineering company makes brake kits and clutch kits to sell to motorsport teams. The table below summarises the time taken and costs involved in making the
- November 2020, AS Paper 2 Discrete, Q7 (10 marks): 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, teac
- June 2019, Paper 3 Discrete, Q3 (4 marks): The Simplex tableau below is optimal. P x y z r s value 1 k 2 + k − 6 0 0 k − 1 1 20 0 0 0 1 1.5 0 6 0 0 1 0 0 0.5 86 3 (a) Deduce the range of values that k mu
- June 2019, AS Paper 2 Discrete, Q3 (4 marks): Manon makes apple cakes and banana cakes. Each apple cake is made with 3 eggs and 100 grams of flour. Each banana cake is made with 2 eggs and 150 grams of flou
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