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
Max F = 12 at (12, 6)
So, the correct answer is (C)
y is greater than 6
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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