CUET Mathematics - The corner points of the bounded feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let z = px + qy where p, q > 0. Then the condition on p and q so that the maximum value of z occurs at (15, 15) and (0, 20) is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Algebra

Hard

core

$p = q$

$p = 2q$

$q = 3p$

✅ Correct Option: 4

Related questions:

22 May Shift 1

The minimum value of $z = 3x + 2y$ subjected to the constraints $2x + y \geq 7, x + 2y \geq 8, x, y \geq 0$ is

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The feasible region of the linear programming problem is represented below:

The constraints of this LPP are

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 30 May Shift 2 PYQs

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