Solve the following linear programming problem graphically: Maximize z =600 x +400 y subject to the constraints: x +2 y ≤ 12; 2 x + y ≤ 12; x +1 · 25…

Solve the following linear programming problem graphically : Maximize $\displaystyle \mathrm{z}=600 \mathrm{x}+400 \mathrm{y}$ subject to the constraints : \[\begin{array}{r} \mathrm{x}+2 \mathrm{y} \leq 12 \\ 2 \mathrm{x}+\mathrm{y} \leq 12 \\ \mathrm{x}+1 \cdot 25 \mathrm{y} \geq 5 \\ \mathrm{x}, \mathrm{y} \geq 0 \end{array} \]