CUET Mathematics - The corner points of the bounded feasible region determined by x+3y≤60, x+y≥10, x≤ y, x≥0, y≥0 are A(0, 10), B(5, 5), C(15, 15) and D(0, 20). If the objective function z=ax+by has its maximum value on the line segment CD, then the relation between a and b is: | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 1

Algebra

Medium

common

$a+b=9$

$3a=b$

$a=3b$

$2a+b=9$

✅ Correct Option: 2

Related questions:

2 June Shift 1

Consider an LPP: Maximise $Z = 50x + 15y$ subjected to constraints

$x + y \leq 60$ ,

$5x + y \leq 100$ ,

$x, y \geq 0$ .

If the maximum value of $Z$ occurs at $x = \alpha$ and $y = \beta$ , then the value of $\alpha + \beta$ is

19 May Shift 1

Which one of the following inequalities is redundant for the shaded feasible region (ABCDA) shown below?

12th May Shift 2

The feasible region for an LPP is shown in the given figure. Let $Z=3x+4y$ be the objective function. Then which of the following is/are TRUE?

(A) The minimum value of Z is 156

(B) The minimum value of Z is 152

(D) Neither minimum nor maximum value of Z exists

Choose the correct answer from the options given below:

CUET Mathematics 2026 22nd May Shift 1 PYQs