What does the non-negativity condition x ≥ 0 and y ≥ 0 mean in a linear programming model?

Correct answer: B. The variables cannot take negative values

  • A. The variables must have equal values
  • B. The variables cannot take negative values
  • C. The variables must be whole numbers
  • D. The variables must remain below one

Explanation

Non-negativity restricts each decision variable to zero or a positive value. It does not require variables to be integers, equal, or less than one.

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About Linear Programming

Linear programming models the maximum or minimum of an objective function subject to linear constraints. Questions involve translating word conditions into inequalities, drawing the feasible region, identifying corner points and evaluating the objective function, including cases involving non-negativity restrictions and redundant constraints.

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