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

The Correct Option is D

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