Consider the linear programming problem(LPP): Minimize Z = x + y x + 2y ≤ 4, 3x + y ≥ 3, 4x + 3y ≥ 6, x, y ≥ 0. Which of the following is correct for…
CUET UG 2025 — Mathematics Algebra
Consider the linear programming problem(LPP):
Minimize Z=x+y
x+2y≤4,
3x+y≥3,
4x+3y≥6,
x,y≥0.
Which of the following is correct for the above linear programming problem (LPP):
(A) The LPP has a bounded feasible region.
(B) The LPP has a unique optimal solution.
(C) The optimal value of the LPP exists at the point (3/2, 0)
(D) The corner points of the feasible region are (3/2, 0), (3/5, 6/5), (2/5, 6/5) and (4, 0)
Choose the correct answer from the options given below:
Held on 14 May 2025 · Verified 13 Jul 2026.
Options
- A
(A), (B) and (D) only
- B
(A), (B) and (C) only
- C
(A), (B), (C) and (D)
- D
(C) and (D) only
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