CUET Mathematics - Which one of the following represents the correct feasible region determined by the following constraints x - y ≥ 5, 5x - 5y ≥ 16 | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Algebra

Medium

common

✅ Correct Option: 1

Related questions:

16 May Shift 1

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).

(D) The LPP does not have optimal solution.

Choose the correct answer from the options given below:

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

15 May Shift 1

Let the corner points of the bounded feasible region of the linear programming problem (LPP) $Z = ax+by$ be: (0, 0), (2, 0), (20/19, 45/19) and (0, 3). If the optimal value of Z occurs at both points (2, 0) and (20/19, 45/19), then the relation between a and b is:

CUET Mathematics 2025 21 May Shift 2 PYQs

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