CUET Mathematics - For the linear programming problem (LPP): Maximize Z = x + 1.5y, subject to constraints, x + 2y ≤ 40, 2x + y ≤ 40, x + y ≤ 25, x ≥ 0, y ≥ 0. Which of the following is NOT correct? | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Algebra

Medium

applied

The feasible region is bounded.

The corner points of the feasible region are $(0,0)$ , $(20,0)$ , $(15,10)$ , $(10,15)$ and $(0,20)$

The optimal value of the objective function is attained at the point $(15, 10)$ .

The LPP has a unique optimal solution.

✅ Correct Option: 3

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22 May Shift 2

For LPP: Maximize $z = 2x + 3y$ subject to the constraints

$x + y \geq 2$ , $x + 2y \geq 3$ , $x \geq 0$ , $y \geq 0$ ,

which of the following graph represents the feasible region of the above LPP as shaded portion?

21 May Shift 1

Which of the following are correct about the linear programming problem(LPP)?

(A) The objective function is always linear.

(B) A corner point of a feasible region is a point in the region which is the intersection of two boundary lines.

(D) If an LPP admits optimal solution at two points then its optimal values occurs at an infinite number of points.

Choose the correct answer from the options given below:

2 June Shift 1

The maximum value of $z$ for the linear programing problem maximize $z = x + y$ subject to the constraints $x + 4y \leq 8, 2x + y \leq 12, 3x + y \leq 9, x \geq 0, y \geq 0$ is:

CUET Mathematics 2025 21 May Shift 2 PYQs

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