CUET Mathematics - The maximum value of the objective function Z = 2x + y of an LPP, subject to the constraints x ≤ 6, y ≤ 2, x - y ≤ 0, x ≥ 0, y ≥ 0 is | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Algebra

Medium

core

✅ Correct Option: 2

Related questions:

CUET Mathematics 2024 Slot 1

The corner points of the feasible region for an L.P.P. are $(0,10),(5,5),(5,15)$ and $(0,30)$ . If the objective function is $Z=\alpha x+\beta y, \alpha, \beta>0$ , the condition on $\alpha$ and $\beta$ so that maximum of $Z$ occurs at corner points $(5,5)$ and $(0,20)$ is :

27 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Corner point of a feasible region	(I) The line segment joining any two arbitrary points of the region always lies entirely within the region
(B) Bounded feasible region	(II) can not be enclosed within a circle
(C) Unbounded feasible region	(III) can be enclosed within a circle
(D) Convex region	(IV) Is a point of intersection of two boundary lines in the feasible region

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 14 May Shift 2 PYQs

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