question_answer

The constraints                       \[-{{x}_{1}}+{{x}_{2}}\le 1\]                      \[-{{x}_{1}}+3{{x}_{2}}\le 9\]                       \[{{x}_{1}},\ {{x}_{2}}\ \ge 0\] define on          [MP PET 1999]

A)                 Bounded feasible space               

B)                 Unbounded feasible space

C)                 Both bounded and unbounded feasible space  

D)                 None of these

Correct Answer: B

Solution :

                                If is clear from the graph, the constraints define the unbounded feasible space.