Required area is shaded.
Vertices of the required region are $0(0,0)$;
$$
\mathrm{A}(3,0) ; \mathrm{B}(3,2) ; \mathrm{C}(2,3) ; \mathrm{D}(0,3)
$$
We have to maximize objective function
$$
\begin{array}{lll}
\mathrm{Z}=10 \mathrm{x}+25 \mathrm{y} & \\
\therefore \quad & \mathrm{Z}_{(\mathrm{O})}=0+0 & =0 \\
\mathrm{Z}_{(\mathrm{A})} & =30+0 & =30 \\
\mathrm{z}_{(\mathrm{B})} & =30+50 & =80 \\
\mathrm{Z}_{(\mathrm{C})} & =20+75 & =95 \\
\mathrm{z}_{(\mathrm{D})} & =0+75 & =75
\end{array}
$$