plumiLinear programming: OCR A‑Level Further Maths questions
Every OCR 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 17 questions on Linear programming, as a list
- June 2025, Discrete Mathematics, Q6 (13 marks): A furniture company makes three types of wardrobes. Each Type A wardrobe requires 4 hours of machine time, 6 hours of craftsman time and 2 hours of finishing ti
- June 2025, AS Discrete Mathematics, Q7 (14 marks): A shop sells three different arrangements of flowers, X, Y and Z. The number of roses, lilies and carnations in each arrangement are shown in the table below. T
- June 2024, Discrete Mathematics, Q2 (9 marks): A linear programming problem is Maximise P 2 x y z = - + subject to 3 x 4 y z 30 - - G x y 6 - G x 3 y 2 z 2 - + H - and x 0 , y 0 , z 0 H H H (a) Complete the
- June 2024, Discrete Mathematics, Q6 (16 marks): Sasha is making three identical bead bracelets using amber, brown and red coloured beads. Sasha has 20 amber beads, 12 brown beads and 10 red beads. Each bracel
- June 2024, AS Discrete Mathematics, Q6 (9 marks): Beth wants to buy some tokens for use in a game. Each token is either a silver token or a gold token. Silver tokens and gold tokens have different points values
- June 2023, Discrete Mathematics, Q3 (12 marks): An initial simplex tableau is given below. P x y z s t RHS 1 2 3 1 0 0 0 - - 0 5 4 1 1 0 20 - 0 2 0 0 1 6 1 - (a) Carry out two iterations of the simplex algori
- June 2023, AS Discrete Mathematics, Q7 (12 marks): A linear programming problem is Maximise P 4 x y = + subject to x 3 y 30 - G x y 15 + G x 3 y 6 - G and x 0 , y 0 H H (a) Use a graphical method to find the opt
- June 2022, Discrete Mathematics, Q6 (15 marks): A linear programming problem is Maximise P 2 x y = - subject to 3 x y 4 z 24 + - G 5x 3 z 60 - G x 2 y 3 z 12 - + + G and x 0 , y 0 , z 0 H H H (a) (i) Represen
- June 2022, AS Discrete Mathematics, Q5 (13 marks): A baker makes three types of jam‑and‑custard doughnuts. • Each batch of type X uses 6 units of jam and 4 units of custard. • Each batch of type Y uses 7 units o
- November 2021, Discrete Mathematics, Q6 (11 marks): An initial simplex tableau is shown below. P x y s t u RHS 1 2 0 0 0 0 -5 0 2 1 1 0 0 25.8 0 3 0 1 0 13.8 -1 0 4 0 0 1 18.8 -3 The variables s, t and u are slac
- November 2021, AS Discrete Mathematics, Q5 (11 marks): A linear programming problem is formulated as below. Maximise P 4 x y = - subject to 2 x 3 y 12 + H x y 10 + G 5 x 2 y 30 + G x 0 , y 0 H H (a) (i) Identify the
- November 2020, Discrete Mathematics, Q3 (12 marks): An initial simplex tableau is shown below. P x y z s t RHS 1 1 0 0 0 0 -3 0 2 0 1 1 0 18 0 2 3 0 1 20 -1 (a) Write down the objective for the problem that is re
- November 2020, AS Discrete Mathematics, Q6 (15 marks): Tamsin is planning how to spend a day off. She will divide her time between walking the coast path, visiting a bird sanctuary and visiting the garden centre. Ta
- June 2019, Discrete Mathematics, Q3 (9 marks): A problem is represented as the initial simplex tableau below. P x y z s t RHS 1 -2 0 1 0 0 0 0 1 1 1 1 0 60 0 2 3 4 0 1 60 (a) Write the problem as a linear pr
- June 2019, Discrete Mathematics, Q7 (12 marks): Sam is making pies. There is exactly enough pastry to make 7 large pies or 20 medium pies or 36 small pies, or some mixture of large, medium and small pies. Thi
- June 2019, AS Discrete Mathematics, Q5 (12 marks): Corey is training for a race that starts in 18 hours time. He splits his training between gym work, running and swimming. • At most 8 hours can be spent on gym
- June 2018, AS Discrete Mathematics, Q5 (16 marks): Greetings cards are sold in luxury, standard and economy packs. The table shows the cost of each pack and number of cards of each kind in the pack. Pack Cost Ha
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