Which one of the following inequalities

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

Which one of the following inequalities is redundant for the shaded feasible region (ABCDA) shown below?

Options:

$x + 2y ≤ 40$

$3x + y ≥30$

$4x + 3y ≤60$

$x≥0,y≥0$

Correct Answer:

$4x + 3y ≤60$

Explanation:

The correct answer is Option (3) → $4x + 3y ≤60$

Upon careful analysis of the figure:

The line 4x + 3y = 60 is not represented in the figure and hence this inequality is redundant (not useful) for feasible region.