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

(A)0                           (B) 8

(C) 12                       (D) − 18

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

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Question 7 The feasible region for an LPP is shown in the Fig. 12.13. Let F = 3x – 4y be the objective function. Maximum value of F is. 0 (B) 8 (C) 12 (D) − 18 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 Max F = 3x – 4y Checking value of F at corner points Thus, Max F = 12 at (12, 6) So, the correct answer is (C) y is greater than 6

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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