Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

The feasable region corresponding to an LPP represented by the constraints $x≥7, y≥4, x-2y ≥8$ is

Options:

bounded and feasible

Unbounded and feasible

bounded and not feasible

Concave polygon, unbounded and feasible

Correct Answer:

Concave polygon, unbounded and feasible

Explanation:

$x≥7, y≥4, x-2y ≥8$

plotting frist $x = 7, x = 4$

and $x+2y=8$

 x   8   0 
y 0 4

for $x-2y ≥8$

cheking for (0, (0,0))

so $0≥8$ 

Solution lies to side of $x+2y=8$

Not containing (0, 0)