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For the LPP

Maximise z=x+yz = x + y

subject to x−y≤−1x - y \leq -1, −x+y≤2-x + y \leq 2, x,y≥0x, y \geq 0, zz has :

Solution

✅ Correct Option: 4

Constraints give x+1≤y≤x+2x+1 \leq y \leq x+2, so the feasible region forms an unbounded strip.

As x→∞x \to \infty, yy also increases, making z=x+yz = x+y unbounded.

No maximum exists.

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