Example 3 - Chapter 12 Class 12 Linear Programming

Last updated at April 16, 2024 by

Example 3 - Minimise and Maximise Z = 3x + 9y, x + 3y <= 60, x + y >=

Example 3 - Chapter 12 Class 12 Linear Programming - Part 2
Example 3 - Chapter 12 Class 12 Linear Programming - Part 3

Transcript

Example 3 Solve the following problem graphically: Minimise and Maximise Z = 3x + 9y subject to the constraints: x + 3y ≤ 60 x + y ≥ 10 x ≤ y x ≥ 0, y ≥ 0 Maximize Z = 3x + 9y Minimize Z = 3x + 9y Subject to, x + 3y ≤ 60 x + y ≥ 10 x ≤ y x ≥ 0, y ≥ 0 ∴ Z = 60 is minimum at (5, 5) Also, Z is maximum at two points (15, 15) & (0, 20) ∴ Z = 180 is maximum at all points joining (15, 15) & (0, 20)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.