Question

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

• A. bounded feasible space
• B. unbounded feasible space
• C. both bounded and unbounded feasible space
• D. None of the above

Answer 1

The correct option is B

unbounded feasible space

Explanation for the correct option:

Step:1 Drawing the inequalities on graph

Given inequalities are

$-x_1+x_2\le 1,-x_1+3x_2\le 9$

and $x_1,x_2\ge 0$

So, the graph of inequalities is drawn as shown :

Step-2:Checking Feasibility of solutions

From the graph, we can see that feasible area is unbounded by the lines

Hence, option(B) is correct.