Question:
For the LPP; maximise $z =x + 4y$ subject to the constraints $x + 2y \leq 2, x +2 y \ge 8, x, y \ge 0$
For the LPP; maximise $z =x + 4y$ subject to the constraints $x + 2y \leq 2, x +2 y \ge 8, x, y \ge 0$
Updated On: Nov 24, 2025
- $z_{\text{max}} = 4 $
- $z_{\text{max}} = 8 $
- $z_{\text{max}} = 16 $
- has no feasible solution
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The Correct Option is D
Solution and Explanation
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
The constraints are $x + 2y \,\le\, 2$,
$x + 2y \,\ge\, 8$,
$x, y \,\ge 0 $
From the graph, z has no feasible solution
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