CUET Mathematics PYQs

Consider the following L.P.P minimize $z = x - 7y + 190$ subject to $x + y \leq 8, x + y \leq 5$ and $x, y \geq 0$. Then which of the following is/are true?

(A) It's feasible region is unbounded

(B) It's feasible region is bounded

(C) It's feasible region has 5 corner points

(D) It's feasible region has 6 corner points

Choose the correct answer from the options given below:

Which of the following are correct about the linear programming problem(LPP)?

(A) The objective function is always linear.

(B) A corner point of a feasible region is a point in the region which is the intersection of two boundary lines.

(C) The common region determined by all the linear constraints of a LPP is called the feasible region.

(D) If an LPP admits optimal solution at two points then its optimal values occurs at an infinite number of points.

Choose the correct answer from the options given below:

The point which provides the optimal solution of the linear programming problem

maximize $z = 21x + 35y$

$3x + 2y \leq 30$

$4x + 5y \leq 60$

$x \geq 0, y \geq 0$

has the coordinates