In a Linear Programming Program (LPP) for objective function Z =14 x -10 y subject to constraints x + y ≤ 8; 3 x -2 y ≥-6; x, y ≥ 0 shade the…

In a Linear Programming Program (LPP) for objective function $\displaystyle \mathrm{Z}=14 \mathrm{x}-10 \mathrm{y}$ subject to constraints \[\begin{aligned} & \mathrm{x}+\mathrm{y} \leq 8 \\ & 3 \mathrm{x}-2 \mathrm{y} \geq-6 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \] shade the feasible region and mark the corner points in a neatly drawn graph.