GRADE 12 – Unit 4: Introduction to Linear Programming

In Unit 4 of the Grade 12 Maths Ethiopian matric curriculum, students will be introduced to the concepts of Linear Programming, a crucial area of mathematics focused on optimization problems, widely applicable in various real-life situations. This unit extends the knowledge gained in prior grades regarding linear equations and inequalities and applies these concepts to practical optimization challenges.

Key Outcomes:

• Graphical Analysis of Inequalities: Students will learn to deduce regions of inequality graphs, which is an essential skill for identifying feasible regions in linear programming.
• Constructing and Solving Linear Programming Problems: The unit will cover the process of constructing linear programming models from word problems and solving them graphically.
• Optimization: Students will understand how to determine maximum and minimum values within feasible regions, which are fundamental in solving optimization problems.
• Applications and Practical Tools: Real-life applications of linear programming will be covered, showcasing its importance in business, economics, and engineering. Additionally, students will learn to solve linear programming problems using spreadsheets, enhancing their practical computing skills.

Career Application: This unit also highlights the relevance of linear programming in careers such as software engineering, where professionals utilize mathematics to solve optimization problems and develop efficient computer programs.