Question

For the LPP, minimize $z=x_1+x_2$ such that inequalities $5x_1+10x_2\le 0,x_1+x_2\ge 1,x_2\le 4$ and $x_1,x_2\ge 0$

• A. There is a bounded solution
• B. There is no solution
• C. There are infinite solutions
• D. None of the above

Answer 1

The correct option is C

There are infinite solutions

Explanation for the correct option:

Draw the graph of given equations:

$z=x_1+x_2$

$5x_1+10x_2\le 0$

$x_1+x_2\ge 1$

$x_2\le 4$

From the figure we can see

As there may be infinite values of $x_1$ and $x_2$ on line $x_1+x_2=1$

Hence, Option ‘C’ is Correct.