CUET Mathematics - The corner points of the bounded feasible region determined by a set of constraints (linear inequalities) are A(0, 5), B(3, 5), C(5, 0) and D(4, 1) and the objective function is z = px + 2qy where p,q > 0. The condition on p and q such that the maximum z occurs at B and D, is: | PYQs + Solutions

CUET Mathematics 2025 16 May Shift 1

Algebra

Medium

common

$p - 8q$ = 0

$q - 5p$ = 0

$p - 5q$ = 0

$p - 3q$ = 0

✅ 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:

30 May Shift 1

The solution set of the linear constraints $x - 2y \geq 0, 2x - y \leq -4, x \geq 0$ and $y \geq 0$ is

2 June Shift 1

The feasible region corresponding to the linear constraints of a Linear Programming Problem (LPP) is represented by the shaded region in the given figure. Which of the following is not a constraint to the given LPP?

CUET Mathematics 2025 16 May Shift 1 PYQs

Keyboard Shortcuts