Question

For the LPP; maximise $z =x + 4y$ subject to the constraints $x + 2y \leq 2, x +2 y \ge 8, x, y \ge 0$

• A. $z_{\text{max}} = 4$
• B. $z_{\text{max}} = 8$
• C. $z_{\text{max}} = 16$
• D. has no feasible solution

Answer 1

Answer: (D)

has no feasible solution

Answer 2

Given $z = x + 4y$
The constraints are $x + 2y \,\le\, 2$,
$x + 2y \,\ge\, 8$,
$x, y \,\ge 0$
From the graph, z has no feasible solution