CUET Mathematics - The corner points of the feasible region of a LPP with the constraints x + 2y ≤ 40, 3x + y ≥ 30, 4x + 3y ≥ 60, x, y ≥ 0 are | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Algebra

Medium

core

$(0, 0), (10, 0), (6, 12), (0, 20)$

$(0, 20), (0, 30), (4, 18)$

$(0, 20), (6, 12), (4, 18)$

$(15, 0), (48, 0), (4, 18), (6, 12)$

✅ Correct Option: 4

Related questions:

29 May Shift 2

The corner points of the feasible region with the constraints $x + y \leq 30$ , $x + y \geq 15$ , $y \leq 20$ , $x \leq 15$ and $x$ , $y \geq 0$ are

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 (0,5), then which of the following are correct for the objective function $Z = 4x + 6y$ ?

(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:

2 June Shift 1

For the linear programing problem,

$Minimize(Z) = 60x + 30y$

subject to: $2x - y \geq -5; 3x + y \geq 3; 2x - 3y \leq 12; x, y \geq 0$

the optimal value of $z$ is

CUET Mathematics 2025 3 June Shift 2 PYQs

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