Solve the following Linear Programming Problem graphically: Minimize Z =20 x +10 y subject to x +2 y ≤ 40; 3 x + y ≥ 30; 4 x +3 y ≥ 60; x, y ≥ 0

Solve the following Linear Programming Problem graphically : Minimize $\displaystyle \mathrm{Z}=20 \mathrm{x}+10 \mathrm{y}$ subject to \[\begin{array}{r} \mathrm{x}+2 \mathrm{y} \leq 40 \\ 3 \mathrm{x}+\mathrm{y} \geq 30 \\ 4 \mathrm{x}+3 \mathrm{y} \geq 60 \\ \mathrm{x}, \mathrm{y} \geq 0 \end{array} \]