# Coordinates of the vertices of the feasible region? Help?

• Apr 13th 2012, 04:45 PM
jenbones
Coordinates of the vertices of the feasible region? Help?
really having a hard time with this problem. Step by step answers would greatly help for future reference. Thanks in advanced.

x ≥ 2, y - x ≥ -3, and x + y ≤ 5
find the coordinates of the vertices of the feasible region.

a. (2, -1) (2, 3) (4, 1)
b. (0, -3) (0, 5) (4, 1)
c. (2, 0) (3, 0) (4, 1) (2, 3)
d. (0, 0) (0, 5) (3, 0) (4, 1)
• Apr 13th 2012, 04:50 PM
skeeter
Re: Coordinates of the vertices of the feasible region? Help?
Quote:

Originally Posted by jenbones
really having a hard time with this problem. Step by step answers would greatly help for future reference. Thanks in advanced.

x ≥ 2, y - x ≥ -3, and x + y ≤ 5
find the coordinates of the vertices of the feasible region.

a. (2, -1) (2, 3) (4, 1)
b. (0, -3) (0, 5) (4, 1)
c. (2, 0) (3, 0) (4, 1) (2, 3)
d. (0, 0) (0, 5) (3, 0) (4, 1)

sketch the graphs of x > 2 , y > x - 3 , and y < 5 -x

the boundary line intersections will give you the vertices of the feasible region.
• Apr 13th 2012, 05:11 PM
jenbones
Re: Coordinates of the vertices of the feasible region? Help?
Quote:

Originally Posted by skeeter
sketch the graphs of x > 2 , y > x - 3 , and y < 5 -x

the boundary line intersections will give you the vertices of the feasible region.

How would I go about graphing x ≥ 2, y - x ≥ -3, and x + y ≤ 5 ?
In the example in my textbook it does not show how, it just displays it already graphed.
• Apr 13th 2012, 05:19 PM
skeeter
Re: Coordinates of the vertices of the feasible region? Help?
Quote:

Originally Posted by jenbones
How would I go about graphing x ≥ 2, y - x ≥ -3, and x + y ≤ 5 ?
In the example in my textbook it does not show how, it just displays it already graphed.

you need to learn how ...

Graphing Linear Inequalities