第一章单元测试
  1. Which of the following assertions for the feasible region of a standard LP problem is incorrect?

  2. A:The feasible region might not have vertex B:The feasible region might have infinitely many vertices C:The feasible region might be unbounded D:The feasible region is convex
    答案:The feasible region might have infinitely many vertices
  3. If the primal LP problem has optimal solutions, then

  4. A:The dual problem has an optimal basic feasible solution B:The dual problem is bounded C:The feasible region of the dual problem is nonempty D:The dual problem is non-degenerate
    答案:The dual problem has an optimal basic feasible solution###The dual problem is bounded###The feasible region of the dual problem is nonempty
  5. If the LP problem is solvable, then

  6. A:The feasible region of this LP problem is nonempty B:There is a feasible regular solution of this LP problem C:The value of the LP problem is finite D:There exists an optimal basic feasible solution to this LP problem
    答案:The feasible region of this LP problem is nonempty###There is a feasible regular solution of this LP problem###The value of the LP problem is finite###There exists an optimal basic feasible solution to this LP problem
  7. If the primal LP problem is unbounded, then the feasible region of dual problem must be empty.

  8. A:错 B:对
    答案:对
  9. A basic feasible solution of an LP problem have one and only one related feasible basis.

  10. A:对 B:错
    答案:错

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