CUET Mathematics - Consider the linear programming problem (LPP): Maximize Z = 6x + 3y subject to the conditions, 4x + y ≥ 80, x + 5y ≥ 115, 3x + 2y ≤ 150, x, y ≥ 0. In reference to the above LPP, which of the following are correct? (A) The feasible region is bounded. (B) The corner points of the feasible region are (15, 20), (40, 15) and (0, 75). (C) The maximum value of the objective function is 285. (D) The LPP does not have optimal solution. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 16 May Shift 1

Algebra

Hard

applied

(A), (B) and (D) only

(A), (B) and (C) only

(A) and (C) only

(B) and (D) only

✅ Correct Option: 3

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The corner points of the bounded feasible region determined by the system of linear constraints are (0, 0), (5, 0), (3, 4) and (0, 5). Let $Z = px + qy$ where $p, q > 0$ . Condition on p and q so that the maximum of Z occurs at both (5, 0) and (3, 4) is

CUET Mathematics 2025 16 May Shift 1 PYQs

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