Question 8
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
Thus,
We cannot find minimum of F)
So, the correct answer is (D) – does not exist
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Davneet Singh
Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
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