Feasible region (shaded) for a LPP is shown in the Fig. 12.6. Minimum of Z = 4x + 3y occurs at the point

(A) (0, 8)                           (B) (2, 5)

(C) (4, 3)                           (D) (9, 0)

This question is similar to Ex 12.2, 1 - Chapter 12 Class 12 - Linear Programming

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  1. Chapter 12 Class 12 Linear Programming (Term 1)
  2. Serial order wise

Transcript

Question 2 Feasible region (shaded) for a LPP is shown in the Fig. 12.6. Minimum of Z = 4x + 3y occurs at the point (A) (0, 8) (B) (2, 5) (C) (4, 3) (D) (9, 0) Corners points are (0, 8), (2, 5), (4, 3) and (9, 0) We need to Minimise Z = 4x + 3y Checking value of Z at all corner points Since the feasible region is unbounded, Hence, 23 may or may not be the minimum value of Z So, we need to graph inequality : Z < 23 4x + 3y < 23 As, there is no common points between the feasible region and the inequality. ∴ Min Z = 23 at (2, 5) So, the correct answer is (B)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.