Determine the extreme points of the following polyhedral set. For each extreme point, identify the linearly independent constraints defining it. x 1 + x 2 + x 3 = 0 From Deterministic Operations...

Determine the extreme points of the following polyhedral set. For each extreme point, identify the linearly independent constraints defining it.

x₁+ x₂
+ x₃
<=>

-x₁
+ x₂
+ 2x₃
<=>

x₁, x₂, x₃
>= 0

From Deterministic Operations Research by David J. Rader, Exercise 7.3