Linear programming — KCSE Mathematics
KCSE Mathematics · 107 practice questions · 3 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Form linear inequalities based on real life situations
Represent linear inequalities on a graph and solve them
Solve and interpret the optimum solution using the objective function
Sample Questions
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A company produces two types of drinks: soda (x) and juice (y). Each soda can is sold for Ksh 50 and each juice carton for Ksh 70. The company aims to maximize its revenue. (a) Write down the objective function for the total revenue. (2 marks)
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A factory produces two products: chairs (x) and tables (y). Each chair requires 2 hours of assembly time and each table requires 3 hours. The factory has a maximum of 24 hours available for assembly each week. (a) State the inequality that represents the assembly time constraint. (2 marks)
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A café sells two types of drinks: coffee (x) and tea (y). Each coffee requires 200 ml of water and each tea requires 150 ml. The total water available is 15 litres. (a) Write down the inequality representing the water constraint. (2 marks)
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A farmer grows two types of crops: maize (x) and beans (y). Each maize plant requires 2 m² of land, while each bean plant requires 1.5 m². The total land available is 100 m². (a) State the inequality that represents the land constraint. (2 marks)
Why Practise Linear programming?
KNEC Aligned
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