question_answer

A simple table for a linear programming problem is given below:

5	2	3	0	0	0
\[{{X}_{1}}\]	\[{{X}_{2}}\]	\[{{X}_{3}}\]	\[{{X}_{4}}\]	\[{{X}_{5}}\]	\[{{X}_{6}}\]	Z
\[{{X}_{4}}\]	1	2	2	1	0	0	8
\[{{X}_{5}}\]	3	4	1	0	1	1	7
\[{{X}_{6}}\]	2	3	4	0	0	1	10

Which one of the following correctly indicates the combination of entering and leaving variable?

A) \[{{X}_{1}}\] and \[{{X}_{4}}\]           

B) \[{{X}_{2}}\] and \[{{X}_{6}}\]

C) \[{{X}_{2}}\] and \[{{X}_{5}}\]           

D) \[{{X}_{3}}\] and \[{{X}_{4}}\]