Solve the following linear programming problem graphically: Minimise Z =20 subject to the cc; 3 x + y ≥ 9; x + y ≥ 7; x +2 y ≥ 8; x, y ≥ 0

Solve the following linear programming problem graphically : \[\begin{gathered} \text { Minimise } \mathrm{Z}=20 \\ \text { subject to the cc } \\ 3 \mathrm{x}+\mathrm{y} \geq 9 \\ \mathrm{x}+\mathrm{y} \geq 7 \\ \mathrm{x}+2 \mathrm{y} \geq 8 \\ \mathrm{x}, \mathrm{y} \geq 0 \end{gathered} \]