CUET Mathematics 2025 29 May Shift 2 PYQs

For an LPP: Maximize $z = 3x + 9y$, $x \geq 0, y \geq 0$, the feasible region OAB is shown in the figure, then the other constraints are

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:

The corner points of the bounded feasible region determined by the system of linear constraints are (0, 0), (5, 0), (6, 5), (6, 8), (4, 10). Let $z = 3x - 4y$ be the objective function. Then the minimum value of the objective function z occurs at