Which statement correctly distinguishes linear programming from integer programming?

Correct answer: B. Linear programming permits fractional decision-variable values

  • A. Linear programming always has integer coefficients
  • B. Linear programming permits fractional decision-variable values
  • C. Integer programming has no objective function
  • D. Integer programming excludes all constraints

Explanation

Standard linear programming permits fractional values unless additional integrality restrictions are imposed. Integer programming requires some or all decision variables to take whole-number values.

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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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