The point that lies in the region bounded by the lines $7x+y\ge 40$ and $2x+3y\le 25$ is:

Check each point in both inequalities:Point $(6,4)$:$7(6)+4=42+4=46\ge 40$ (True)$2(6)+3(4)=12+12=24\le 25$ (True)Both conditions are satisfied. Thus $(6,4)$ lies in the bounded region.Other points fail at least one constraint (e.g., $(0,0)$ fails $0\ge 40$).