1、判断题：
A basic feasible solution of an LP problem have one and only one related feasible basis.
选项：
A:对
B:错
答案: 【错】

2、判断题：
If the primal LP problem is unbounded, then the feasible region of dual problem must be empty.
选项：
A:对
B:错
答案: 【对】

3、多选题：
If the LP problem is solvable, then
选项：
A:The value of the LP problem is finite
B:There exists an optimal basic feasible solution to this LP problem
C:There is a feasible regular solution of this LP problem
D:The feasible region of this LP problem is nonempty
答案: 【The value of the LP problem is finite;
There exists an optimal basic feasible solution to this LP problem;
There is a feasible regular solution of this LP problem;
The feasible region of this LP problem is nonempty】

4、多选题：
If the primal LP problem has optimal solutions, then
选项：
A:The dual problem has an optimal basic feasible solution
B:The feasible region of the dual problem is nonempty
C:The dual problem is bounded
D:The dual problem is non-degenerate
答案: 【The dual problem has an optimal basic feasible solution;
The feasible region of the dual problem is nonempty;
The dual problem is bounded】

5、单选题：
Which of the following assertions for the feasible region of a standard LP problem is incorrect?
选项：
A:The feasible region might have infinitely many vertices
B:The feasible region is convex
C:The feasible region might be unbounded
D:The feasible region might not have vertex
答案: 【The feasible region might have infinitely many vertices】