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Example 4 - Chapter 12 Class 12 Linear Programming (Term 1)

Last updated at Feb. 17, 2020 by

Example 4 - Determine graphically minimum Z = -50x + 20y

Example 4 - Chapter 12 Class 12 Linear Programming - Part 2
Example 4 - Chapter 12 Class 12 Linear Programming - Part 3
Example 4 - Chapter 12 Class 12 Linear Programming - Part 4
Example 4 - Chapter 12 Class 12 Linear Programming - Part 5

Transcript

Example 4 Determine graphically the minimum value of the objective function Z = – 50x + 20y. Subject to the constraints: 2x – y ≥ – 5 3x + y ≥ 3 2x – 3y ≤ 12 x ≥ 0, y ≥ 0 Minimum Z = −50x + 20y Subject to, 2x – y ≥ – 5 3x + y ≥ 3 2x – 3y ≤ 12 x ≥ 0, y ≥ 0 As the region that is feasible is unbounded. Hence -300 may or may not be the minimum value of Z. To check this, we graph inequality. As, there are some common points between the feasible region & the inequality. Hence, 300 is not the minimum value of Z. ∴ Z has no minimum value

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.