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 :

[c] Clearly from graph there is no feasible region.