SOLUTION: I've been trying for hours and I can't figure this out. Please help! I need to find the corner points of a feasible region and graph them.

Algebra ->  Graphs -> SOLUTION: I've been trying for hours and I can't figure this out. Please help! I need to find the corner points of a feasible region and graph them.       Log On


   



Question 534052: I've been trying for hours and I can't figure this out. Please help! I need to find the corner points of a feasible region and graph them.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You are working on an x-y plane that can easily be represented on 2-dimensional paper by 3-dimensional creatures like us.
x%3E=0, and y%3E0 just restrict you to the first quadrant in the x-y plane. And worse yet, the x-axis (y=0) is off limits.
x%2By=6 is a line that crosses the x ans y axis at (0,6) and 6,0)
How can x%2By%3C=6 be represented?
x%2By%3C=6 is the part of the x-y plane on the side of that line that contains the origin (0,0) because x=0 with y=0 satisfies those conditions.
x%2B2y=8 is a line that crosses the x ans y axis at (0,6) and 8,0)
How can x%2B2y%3C=8 be represented?
x%2B2y%3C=8 is the part of the x-y plane on the side of that line that contains the origin (0,0) because x=0 with y=0 satisfies those conditions.
7x%2B2y%3E=20 is a similar restriction. The line going through (20/7,0) and (0,10) is included and so are all the points NOT between that line and the origin.
The intersection of those lines makes a triangle that defines your design space.
Do you need more help?