1. The problem statement, all variables and given/known data <= means less than or equal to. 30 <= X <= 80 10 <= Y <= 30 X + Y <= 80 2. The attempt at a solution I think I have an idea of how to do it, but I just want to be sure. Can someone tell me if this is right? For X, subtract 30 from both sides, leaving X<=50. For Y, subtract 10 from both sides, leaving Y<=20. So X(50)+Y(20)<=80 70<=80. When I subtract from both sides, I just forget about that one inequality? I also need to graph the Constraints and find the region of feasable solutions as well as all the corner points. I am also lost here. I think I got the graph down, but I'm lost on the corner points. I think I found 2 corner points, but thats it. (30,10) and (30,30). If you guys could help me out a little here that would be great! Thanks!