Find the solution to the following linear programming problem (if it exists) graphically: Maximize Z = x + y subject to the constraints x - y ≤-1 - x…

Find the solution to the following linear programming problem (if it exists) graphically : Maximize $\displaystyle \mathrm{Z}=\mathrm{x}+\mathrm{y}$ subject to the constraints $\displaystyle \mathrm{x}-\mathrm{y} \leq-1$ $\displaystyle -\mathrm{x}+\mathrm{y} \leq 0$ $\displaystyle \mathrm{x}, \mathrm{y} \geq 0$.