Appeared in: 2025 (3 sets)
In a Linear Programming Problem (LPP), the objective function $Z = 2x + 5y$ is to be maximised under the following constraints :
$x + y \le 4$, $3x + 3y \ge 18$, $x, y \ge 0$
Study the graph and select the correct option.
(Note : The figure is not to scale)
The solution of the given LPP :
(A) lies in the shaded unbounded region.
(B) lies in $\Delta \text{AOB}$.
(C) does not exist.
(D) lies in the combined region of $\Delta \text{AOB}$ and unbounded shaded region.