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**1. Homework Statement**

<= 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!