Question

For $L.P.P$, maximize $z=4x_1+2x_2$ subject to $3x_1+2x_2\ge 9,x_1-x_2\le 3,x_1\ge 0,x_2\ge 0$ has .........

• A. infinite number of optimal solutions
• B. unbounded solution
• C. no solution
• D. one optimal solution

Answer 1

Answer: (B)

We have, maximise $z=4x_1+2x_2$
Subject to constracts, $3x_1+2x_2\ge 9,x_1-x_2\le 3$
$x_1\ge 0,x_2\ge 0$
On taking given constraints as equation, we get the following graphs

Here, we get feasible region Is unbounded.