Linear Programming Question 134

Question: The constraints $ -x_1+x_2\le 1,-x_1+3x_2\le 9; $ $ x_1,x_2\ge 0 $ defines on

Options:

A) Bounded feasible space

B) Unbounded feasible space

C) Both bounded and unbounded feasible space

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Given, constraints are $ -x_1+x_2\le 1,-x_1+3x_2\le 9 $ And $ x_1,x_2\ge 0 $ .

It is clear from the figure that feasible space (shaded portion) is unbounded.