The region x≥0,y≥0,x−2y≤3 is unbounded in the first quadrant (extends to infinity). For large y, x can grow as x≤2y+3, making Z=3x+2y arbitrarily large. So no maximum exists.
The feasible region of an LPP Max Z=3x+2y subject to x≥0,y≥0,x−2y≤3 is:
Held on 25 May 2023 · Verified 13 Jul 2026.
Bounded in first quadrant but has no solution
Unbounded in first quadrant but has a solution
Unbounded in first quadrant and has no solution
Bounded and has a solution x=0,y=0,Z=0
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