Question 6 (Case Based MCQ) - NCERT Exemplar - MCQs - Chapter 12 Class 12 Linear Programming

Last updated at May 29, 2023 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)

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.

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