Question 7
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
Thus,
Max F = 12 at (12, 6)
So, the correct answer is (C)
y is greater than 6

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.