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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.