CUET Mathematics - The optimal value of the objective function of the LPP, Minimize z = 3x - 2y subject to constraints x+y ≥ 10, 3x+5y ≤ 15, x ≤ 0, y ≥ 0, is equal to | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Algebra

Hard

core

-20

-6

✅ Correct Option: Drop

Related questions:

15 May Shift 2

If the corner points of the bounded feasible region for a linear programming problem (LPP) are (0, 2), (3, 0), (6, 0), (6, 8) and (0,8), then which of the following are correct for the objective function $Z = 4x + 5y$ and the corner points of the bounded feasible region are (0, 2), (3, 0), (6, 0), (6, 8) and (0,8), then the minimum value of Z is:

(A) The minimum value of the objective function occurs at (0, 2) and (3, 0) only.

(B) The minimum value of the objective function occurs at the mid-point of the line segment joining the points (0, 2) and (3, 0) only.

(C) The minimum value of the objective function occurs at every point of the line segment joining the points (0, 2) and (3, 0).

(D) The difference between the maximum value and minimum value of the objective function is 60.

Choose the correct answer from the options given below:

3 June Shift 2

The region represented by the system of inequalities $x, y \geq 0, y \leq 6, x + y \leq 3$

15 May Shift 2

The feasible region represented by the constraints $x + y \leq 50, 3x + y \leq 90, x \geq 0, y \geq 0$ of an LPP is

CUET Mathematics 2025 13 May Shift 2 PYQs

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