plumiFormulating linear programmes: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 4.1 Formulating linear programmes, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 13 questions on Formulating linear programmes, as a list
- 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 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, Decision 2, Q3 (9 marks): The table below shows the stock held at each supply point and the stock required at each demand point in a standard transportation problem. The table also shows
- 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 2, Q5 (9 marks): A standard transportation problem is described in the linear programming formulation below. Let xij be the number of units transported from i to j where i ∈ {A
- 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, 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, 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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