CUET Mathematics 2023 30 May Shift 3 PYQs

For the linear programming problem(LPP),

Maximize $Z = 4x + y$

$x + y \leq 5$

$3x + y \leq 9$

$x,y \geq 0$.

Which of the following are NOT true?

(A) The given LPP has unbounded feasible region.

(B) The corner points of the feasible region are (0,0), (0, 5), (3, 2) and (3, 0).

(C) The optimal value of the objective function is 12.

(D) The given LPP has a unique optimal solution.

Choose the correct answer from the options given below:

The feasible solution to the LPP is-

The region represented by the system of inequalities $x, y \geq 0, y \leq 6, x + y \leq 3$