question_answer

For the constraint of a linear optimizing function \[z={{x}_{1}}+{{x}_{2}}\], given  by \[{{x}_{1}}+{{x}_{2}}\le 1,\ 3{{x}_{1}}+{{x}_{2}}\ge 3\] and \[{{x}_{1}},\ {{x}_{2}}\ge 0\]

A)                 There are two feasible regions

B)                 There are infinite feasible regions

C)                 There is no feasible region          

D)                 None of these

Correct Answer: C

Solution :

                Clearly from graph there is no feasible region.