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:
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
The feasible region of an LPP Max Z=3x+2y subject to x≥0,y≥0,x−2y≤3 is:
Official previous-year question
Held on 25 May 2023 · Verified 13 Jul 2026.
Options
- A
Bounded in first quadrant but has no solution
- B
Unbounded in first quadrant but has a solution
- C
Unbounded in first quadrant and has no solution
- D
Bounded and has a solution x=0,y=0,Z=0
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