Which feature indicates that a maximization linear programming problem is unbounded?

Correct answer: D. The objective value can increase without limit

  • A. The feasible region contains no points
  • B. The feasible region has exactly one corner point
  • C. Every constraint passes through the origin
  • D. The objective value can increase without limit

Explanation

A maximization problem is unbounded when feasible points allow the objective value to increase indefinitely. An empty feasible region describes infeasibility, not unboundedness.

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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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