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    In a Linear programming problem, what are the inequations x ≥ 0 and y ≥ 0 called?
    Question

    In a Linear programming problem, what are the inequations x 0 and y 0 called?

    A.

    Optimum values

    B.

    Corner points

    C.

    Non-negative constraints

    D.

    Positive constraints

    Correct option is C

    In a Linear Programming Problem (LPP), the inequalities:x0andy0x \geq 0 \quad \text{and} \quad y \geq 0 are called the non-negativity constraints.

    • These constraints ensure that the decision variables xxx and yyycannot take negative values.

    • In real-world problems, variables like quantity, cost, time, distance, etc., are often non-negative.

    • Hence, these constraints define the feasible region to lie in the first quadrant of the coordinate system.

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