The feasible region for an LPP is shown in the Fig. 12.13. Let F = 3x – 4y be the objective function.. Minimum value of F is

(A)0                             (B) – 16

(C) 12                          (D) does not exist

 

This question is similar to Question 38 Choice 2 - Sample Paper 2021 Class 12 - Linear Programming

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Question 8 The feasible region for an LPP is shown in the Fig. 12.13. Let F = 3x – 4y be the objective function.. Minimum value of F is 0 (B) – 16 (C) 12 (D) does not exist Completing the feasible region Let the two lines intersect at (12, y) ∴ Corner Points of feasible region are (0, 0), (0, 4), (12, 6), (12, y) We need to find Min F = 3x – 4y Checking value of F at corner points Thus, We cannot find minimum of F) So, the correct answer is (D) – does not exist

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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