Question 6 (Case Based MCQ) - NCERT Exemplar - MCQs - Chapter 12 Class 12 Linear Programming
Last updated at Dec. 16, 2024 by Teachoo
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
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)
Made by
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
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