CUET Mathematics - For LPP: Maximize z = 2x + 3y subject to the constraints x + y ≥ 2, x + 2y ≥ 3, x ≥ 0, y ≥ 0, which of the following graph represents the feasible region of the above LPP as shaded portion? | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 2

Algebra

Medium

common

✅ Correct Option: 4

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The corner points of the bounded feasible region determined by the system of linear inequalities are $(0,0)$ , $(4,0)$ , $(2,4)$ and $(0,5)$ . If maximum value of $z = ax + by$ , where $a,b > 0$ , occurs at both $(2,4)$ and $(4,0)$ then

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About linear programming problem (LPP), which of the following statements are correct?

(A) In a LPP, the linear inequalities or restrictions on the variables are called linear constraints.

(B) If the feasible region for an LPP is unbounded, then the maximum or minimum value of the objective function $Z = ax + by$ never exists.

(D) The common region determined by all the linear constraints of an LPP is called the feasible region.

Choose the correct answer from the options given below:

CUET Mathematics 2025 22 May Shift 2 PYQs

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