question_answer

The constraints \[-{{x}_{1}}+{{x}_{2}}\le 1,-{{x}_{1}}+3{{x}_{2}}\le 9;\]\[{{x}_{1}},{{x}_{2}}\ge 0\] defines on

A) Bounded feasible space

B) Unbounded feasible space

C) Both bounded and unbounded feasible space

D) None of these

Correct Answer: B

Solution :

[b] Given, constraints are \[-{{x}_{1}}+{{x}_{2}}\le 1,-{{x}_{1}}+3{{x}_{2}}\le 9\] And \[{{x}_{1}},{{x}_{2}}\ge 0\] It is clear from the figure that feasible space (shaded portion) is unbounded.