The feasible region for an LPP is shown in the Fig. 12.13. Let F = 3x – 4y be the objective function.. Minimum value of F is
0 (B) – 16
(C) 12 (D) does not exist
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 Min F = 3x – 4y
Checking value of F at corner points
We cannot find minimum of F)
So, the correct answer is (D) – does not exist
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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