For any linear programming problem the feasible region is shaded region as given below, then constraints are: Option 1: -2x+y ≥ 4, x+y ≥ 3, x-2y ≥ 2, x ≥ 0, y ≥ 0 Option 2: -2x+y ≤ 4, x+y ≥ 3, x-2y ≤ 2, x ≥ 0, y ≥ 0 Option 3: -2x+y ≤ 4, x+y ≤ 3, x-2y ≤ 2, x ≥ 0, y ≥ 0 Option 4: -2x+y ≥ 4, x+y ≤ 3, x-2y ≥ 2, x ≥ 0, y ≥ 0

The answer is '-2x+y ≤ 4, x+y ≥ 3, x-2y ≤ 2, x ≥ 0, y ≥ 0'. View full solution:

For any linear programming prob<=m the feasib<= region is shaded region as given below, then constraints are:

-2x+y \ = 3, x-2y \ = 0, y \>= 0

-2x+y \>= 4, x+y \>= 3, x-2y \>= 2, x \>= 0, y \>= 0

-2x+y \ = 3, x-2y \ = 0, y \>= 0

-2x+y \>= 4, x+y \ = 2, x \>= 0, y \>= 0

CUET Mathematics - For any linear programming problem the feasible region is shaded region as given below, then constraints are: | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Algebra

Medium

core

$-2x+y \ge 4, x+y \ge 3, x-2y \ge 2, x \ge 0, y \ge 0$

$-2x+y \le 4, x+y \ge 3, x-2y \le 2, x \ge 0, y \ge 0$

$-2x+y \le 4, x+y \le 3, x-2y \le 2, x \ge 0, y \ge 0$

$-2x+y \ge 4, x+y \le 3, x-2y \ge 2, x \ge 0, y \ge 0$

✅ Correct Option: 2

Related questions:

21 May Shift 1

In a linear programming problem(LPP), the maximum value of the objective function $Z = 2x + 5y$ subjected to the constraints:

$2x + 3y ≤ 6$

$2x + y ≤ 4$

$x, y ≥ 0$

15 June Shift 2

Match List - I with List - II.

List - I	List - II
(A) The common region determined by all the constraints of LPP is called	(I) objective function
(B) Minimize $z = c_1x_1 + c_2x_2 + ..... + c_nx_n$ is	(II) convex set
(C) A solution that also satisfies the non-negative restrictions of a LPP is called	(III) feasible region
(D) The set of all feasible solutions of a LPP is a	(IV) feasible solution

Choose the correct answer from the options given below :

22nd May Shift 1

The corner points of the bounded feasible region determined by $x+3y\le60, x+y\ge10, x\le y, x\ge0, y\ge0$ 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:

CUET Mathematics 2026 26th May Shift 2 PYQs

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