Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?

Options:

  • A: The dual problem has an unbounded optimal objective value.
  • B: The dual problem is infeasible.
  • C: The dual problem has a unique optimal solution.
  • D: The dual problem is feasible but has no optimal solution.

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