GRADE 12 · MATHEMATICS · TOPIC 11

Linear Programming

An objective function is optimised over constraints.

CONCEPT EXPLAINED

Understand the concept

An objective function is optimised over constraints.

SOLVED EXAMPLE

Maximise x+y given x≥0, y≥0, x+y≤5

  1. Step 1: The objective x+y cannot exceed 5
  2. Step 2: at (5,0) it reaches 5.

Final answer: Maximum 5

PRACTISE YOURSELF

Maximise x+y where x+y≤7 and x,y≥0

Show the answer

7

Try another similar question and explain each step aloud. Refer to your school syllabus for topic level and notation.