Solve the following linear programming problem graphically: Maximize: Z = x +2 y subject to constraints: x +2 y ≥ 100, 2 x - y ≤ 0, 2 x + y ≤ 200, x…

Solve the following linear programming problem graphically : \[\begin{array}{ll} \text { Maximize : } \mathrm{Z}=\mathrm{x}+2 \mathrm{y} & \\ \text { subject to constraints : } & \mathrm{x}+2 \mathrm{y} \geq 100, \\ & 2 \mathrm{x}-\mathrm{y} \leq 0, \\ & 2 \mathrm{x}+\mathrm{y} \leq 200, \\ & \mathrm{x} \geq 0, \mathrm{y} \geq 0 . \end{array} \]