Question 7 (Case Based MCQ) - NCERT Exemplar - MCQs - Chapter 12 Class 12 Linear Programming (Term 1)

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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