The constraints of a problem are listed below. What are the vertices of the feasible region? 2x+3y=-3 x=0 y=0

Question

The constraints of a problem are listed below. What are the vertices of the feasible region?

2x+3y<=6
2x-6y>=-3
x>=0
y>=0

anonymous · Answer

(0, 0), (0, 0.5), (0, 2), (3, 0)
(0, 0), (0, 2), (1.5, 1), (3, 0)
(0, 0), (0, 0.5), (1.5, 1), (3, 0)
(0, 0), (0, 0.5), (1, 1.5), (3, 0)

^ those are the options

anonymous · Answer

sometimes it helps to just graph them.  You can usually find some good graphing tools online for free.  Here is an image of one I used.  It shows the vertices as (0,0), (0,0.5), (1.5,1), (3,0)

anonymous · Answer

i tried to graph some but i couldnt find the shaded region that well. Thank you for helping me!!! @WillRiven

anonymous · Answer

anytime, I'll send you a link to a really good website tool that can come in handy for a lot of things.

anonymous · Answer

Thanks and could u help me on a couple more like those? I am really bad at using those online tools.. @WillRiven

aum · Answer

http://www.wolframalpha.com/input/?i=plot++%282x%2B3y%3C%3D6%2C+2x-6y%3E%3D-3%2C+x%3E%3D0%2Cy%3E%3D0%29