In the Linear Programming Problem for objective function Z =18 x +10 y subject to constraints 4 x + y ≥ 20; 2 x +3 y ≥ 30; x, y ≥ 0 find the minimum…

In the Linear Programming Problem for objective function $\displaystyle \mathrm{Z}=18 \mathrm{x}+10 \mathrm{y}$ subject to constraints \[\begin{aligned} & 4 \mathrm{x}+\mathrm{y} \geq 20 \\ & 2 \mathrm{x}+3 \mathrm{y} \geq 30 \\ & \mathrm{x}, \mathrm{y} \geq 0 \end{aligned} \] find the minimum value of $\displaystyle \mathrm{Z}$.