Which of the following is a correct set of constraint for a LPP ? Option 1: x + 2y ≤ 50, 3x + y ≤ 80, x ≥ 0, y ≥ 0 Option 2: x + 2y ≤ 50, 3x^2 + y^2 ≤ 80, x ≥ 0, y ≥ 0 Option 3: x + 2y ≤ 50, 3x + y ≤ 80, x ≤ 0, y ≥ 0 Option 4: x + 2y ≥ 50, 3x + y ≥ 80, x ≥ 0, y ≤ 0

Answer: x + 2y ≤ 50, 3x + y ≤ 80, x ≥ 0, y ≥ 0. Solution: A valid LPP has linear constraints with non-negativity restrictions. Option (a) has all linear inequalities and x, y ≥ 0, satisfying the requirements. Option (b) is non-linear; (c) and (d) have wrong sign restrictions on variables.

Applied Mathematics

Linear Programming

Easy

Which of the following is a correct set of constraint for a LPP ?

$x + 2y \leq 50, 3x + y \leq 80, x \geq 0, y \geq 0$

$x + 2y \leq 50, 3x^2 + y^2 \leq 80, x \geq 0, y \geq 0$

$x + 2y \leq 50, 3x + y \leq 80, x \leq 0, y \geq 0$

$x + 2y \geq 50, 3x + y \geq 80, x \geq 0, y \leq 0$

✅ Correct Option: 1

A valid LPP has linear constraints with non-negativity restrictions. Option (a) has all linear inequalities and $x, y \geq 0$ , satisfying the requirements. Option (b) is non-linear; (c) and (d) have wrong sign restrictions on variables.

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Which of the following is a correct set of constraint for a LPP ?

Solution

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