TopicFurther Maths
Pure · SS3
Linear programming & operations research
Choosing the best option under constraints: linear programming and simple operations research.
- Before this
- Inequalities
Learn
- 1Linear programmingShading the region that satisfies several inequalities, finding its corners, and the corner-point method for the greatest or least value of ax + by.Done16 min
- 2Games, inventory and transportTwo-person games (maximin, minimax, saddle points and mixed strategies), the economic order quantity, and the north-west corner rule for a transport problem.Done20 min
Flashcards
7 cards: the rules, facts and methods to know by heart, with the diagrams from the lessons. They come back until you know them.
Practise
Answer linear programming & operations research questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.
Your progress is saved on this device as you practise. No account needed.
Past questions (9)
From 2012–2023: 3 WAEC, 6 NECO. Theory questions first, then objective, newest first.
Theory (6)
- NECO 2023 · Paper 2 · Q14A fair coin is tossed four times. Calculate the probability of obtaining (i) at least one tail; (ii) an equal number of heads and tails.
- NECO 2023 · Paper 2 · Q15The payoff matrix of players and in a game is . Find the (i) maximin value; (ii) minimax …
- NECO 2023 · Paper 2 · Q8A company has three production facilities , and with capacities of 8, 10 and 19 units (in hundreds) per week. The units are …
- WAEC 2023 · Paper 2 · Q11Using a scale of 2 cm to 2 units on both axes, indicate on a graph sheet the area bounded by the inequalities , …
- WAEC 2020 · Paper 2 · Q4Shade the region, , in the – plane which satisfies simultaneously the inequalities: $$x + y \ge 5, \qquad 2y - x \ge 0, \qquad x + 5y …
- WAEC 2012 · Paper 2 · Q4Indicate by shading graphically the set of all points in the plane that satisfy simultaneously the inequalities , …
Objective (3)
- NECO 2023 · Paper 1 · Q48If the payoff matrix of a game is , find the maximin value of the game.
- NECO 2023 · Paper 1 · Q49The corner points of the feasible region of a problem are , , , and . If , what …
- NECO 2023 · Paper 1 · Q50The annual demand for a product is 12,500 units, the annual holding cost is ₦50.00 per unit and the cost of placing an order is ₦500.00. Find …