Determine graphically the extreme points of the following convex set: Q = { x 1 , x
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Determine graphically the extreme points of the following convex set:
Q = { x1 , x2|x1 + x2 + 2, x1 ≥ 0, x2 ≥ 0}
Show that the entire feasible solution space can be determined as a convex combination of its extreme points. Hence conclude that any convex (bounded) solution space is totally defined once its extreme points are known.
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