CUET Mathematics - Consider the following L.P.P minimize z = x - 7y + 190 subject to x + y ≤ 8, x + y ≤ 5 and x, y ≥ 0. Then which of the following is/are true? (A) It's feasible region is unbounded (B) It's feasible region is bounded (C) It's feasible region has 5 corner points (D) It's feasible region has 6 corner points Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 2

Algebra

Medium

core

(A) only

(B) and (C) only

(A) and (C) only

(B) and (D) only

✅ Correct Option: 4

Related questions:

CUET Mathematics 2024 Slot 1

The corner points of the feasible region determined by $x+y \leq 8, 2 x+y \geq 8, x \geq 0, y \geq 0$ are $A(0,8), B(4,0)$ and $C(8,0)$ . If the objective function $Z=a x+$ by has its maximum value on the line segment $A B$ , then the relation between $a$ and $b$ is :

16 May Shift 1

Consider the following L.L.P.

Minimize z = 30x - 30y + 1800;

subject to x + y ≤ 30, x ≤ 15, y ≤ 20, x + y ≥ 15 and x, y ≥ 0.

Then it attains its optimal value at the point

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 (0,8), then which of the following are correct for the objective function $Z = 4x + 5y$ and the corner points of the bounded feasible region are (0, 2), (3, 0), (6, 0), (6, 8) and (0,8), then the minimum value of Z is:

(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:

CUET Mathematics 2025 15 May Shift 2 PYQs

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