The feasible solution for a LPP is shown in Fig. 12.12. Let Z = 3x – 4y be the objective function. (Maximum value of Z + Minimum value of Z) is equal to

(A)13                           (B) 1       

(C) −13                        (D) − 17

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

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Question 6 The feasible solution for a LPP is shown in Fig. 12.12. Let Z = 3x – 4y be the objective function. (Maximum value of Z + Minimum value of Z) is equal to 13 (B) 1 (C) −13 (D) − 17 Checking value of Z = 3x – 4y at corner points Thus, Max Z = 15 at (5, 0) Min Z = −32 at (0, 8) Therefore, Maximum value of Z + Minimum value of Z = 15 + (−32) = 15 − 32 = −17 So, the correct answer is (D)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.