plumiLinear programming: Edexcel A‑Level Further Maths questions
Every Edexcel A-Level Further Maths exam question on D.4 Linear programming, 2018–2025, with its mark scheme and examiner’s report.
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All 18 questions on Linear programming, as a list
- June 2025, Decision 1, Q5 (12 marks): Consider the following linear programming problem in x, y and z. Maximise P x y z 3 4 2 subject to 2 2 2 21 x y z + + 2 18 x y z − − 3 2 1 x y z x 4 y 1 z
- June 2025, Decision 1, Q7 (12 marks): Figure 5 Figure 5 shows the constraints of a linear programming problem in x and y, where R is the feasible region. The objective is to maximise P x ky 11 , whe
- June 2025, AS Decision 1, Q4 (11 marks): 4 4 8 12 16 20 24 28 32 y x 2 O 4 6 8 10 12 14 16 Figure 3 George is a baker who bakes x sponge cakes and y fruit cakes every day. One of George’s constraints i
- June 2024, Decision 1, Q5 (9 marks): Two friends, Anaira and Tommi, play a game involving two positive numbers x and y Anaira gives Tommi the following clues to see if he can correctly determine th
- June 2024, Decision 1, Q7 (14 marks): A maximisation linear programming problem in x, y and z is to be solved using the Simplex method. The tableau after the 1st iteration is shown below. b.v. x y z
- June 2024, AS Decision 1, Q4 (12 marks): P75677A 4. 0 –5 5 10 15 20 25 30 5 10 15 20 25 30 x y Figure 4 Figure 4 shows three of the six constraints for a linear programming problem in x and y The
- June 2023, Decision 1, Q7 (19 marks): A publisher plans to produce three versions of the same book: a paperback, a hardcover, and a deluxe edition. • Each paperback takes 4 minutes to print and 1 mi
- June 2023, AS Decision 1, Q4 (7 marks): O x y R objective line 3x + 8y = 32 3y = 4x + 5 x = 8 4x + 15y = 120 Figure 3 Figure 3 shows the constraints of a linear programming problem in x and y. The uns
- June 2022, Decision 1, Q4 (6 marks): A linear programming problem in x, y and z is to be solved using the big‑M method. The initial tableau is shown below. b.v. x y z s1 s2 s3 a1 a2 Value s1 2 3 4
- June 2022, Decision 1, Q7 (15 marks): y y = 2x + 1 x + y = 8 7x + 2y = 46 x + 2y = 12 x R O Figure 5 Figure 5 shows the constraints of a linear programming problem in x and y where R is the feasible
- June 2022, AS Decision 1, Q4 (9 marks): y x 16 14 12 10 8 6 4 2 0 14 12 10 8 6 4 2 0 R Objective line Figure 3 Figure 3 shows the constraints of a maximisation linear programming problem in x and y, w
- November 2021, Decision 1, Q8 (18 marks): Susie is preparing for a triathlon event that is taking place next month. A triathlon involves three activities: swimming, cycling and running. Susie decides th
- November 2020, Decision 1, Q4 (10 marks): y O 7 – 6 – 5 – 4 – 3 – 2 – 1 – 1 2 3 4 5 x 2y = 5x 6x + 5y = 30 R y = x + 1 – – – – – – – Figure 3 Figure 3 shows the constraints of a linear programming probl
- November 2020, Decision 1, Q7 (17 marks): A maximisation linear programming problem in x, y and z is to be solved using the two-stage simplex method. The partially completed initial tableau is shown bel
- November 2020, AS Decision 1, Q4 (9 marks): 2 R V objective line 4 6 8 10 x y 12 12 10 8 6 4 2 0 –2 Figure 3 Figure 3 shows the constraints of a linear programming problem in x and y, where R is the feasi
- June 2019, Decision 1, Q6 (12 marks): A linear programming problem in x, y and z is described as follows. Maximise P = 2x + 2yíz subject to 3x + y + 2z - 30 xíy + z . 8 4y + 2z . 15 x, y, z . 0
- June 2019, Decision 1, Q7 (12 marks): A shop sells two types of watch, analogue watches and digital watches. The shop manager knows that, each month, she should order at least 60 watches in total. I
- June 2019, AS Decision 1, Q5 (10 marks): Ben is a wedding planner. He needs to order flowers for the weddings that are taking place next month. The three types of flower he needs to order are roses, hy
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