Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Consider the LPP, Min  $Z=3x-2y$ subject to the conditions

$4x+3y≥12,$

$4x+y ≥4,$

$x ≥0, y ≥ 0, $

then which of the following is correct ?

Options:

feasible region is bounded in the first quadrant

feasible region is unbounded in the first quadrant

feasible region is bounded in the second quadrant

no feasible region

Correct Answer:

feasible region is unbounded in the first quadrant

Explanation:

The correct answer is Option (2) → feasible region is unbounded in the first quadrant

$Z=3x-2y$

feasible region is unbounded and is in first quadrant.