Check sibling questions

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


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)

  1. Chapter 12 Class 12 Linear Programming
  2. Serial order wise

About the Author

Davneet Singh

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 and Computer Science at Teachoo