Find extreme points of the set Y={y R 10, 20, 30, 91 +92 +93 1} and...

 

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Find extreme points of the set Y={y R 10, 20, 30, 91 +92 +93 1} and represent the set in the form of Conv({1,..., UN}) + Cone ({1, ..., TM}) Answer: Extreme points of Y are: Representation of Y as Conv({1, ..., UN}) + Cone {1,..., TM} is Y = 2. [15 points] Find extreme points of the set X = {x R x1 + x2 1, x2+x3 1, x3 + x 1, x1 + x2 + x3 > 2} and represent the set in the form of Conv({1,..., UN}) + Cone ({1,, TM}) Answer: Extreme points of X are: Representation of X as Conv({1,..., UN}) + Cone {1, ..., TM} is X = Find extreme points of the set Y={y R 10, 20, 30, 91 +92 +93 1} and represent the set in the form of Conv({1,..., UN}) + Cone ({1, ..., TM}) Answer: Extreme points of Y are: Representation of Y as Conv({1, ..., UN}) + Cone {1,..., TM} is Y = 2. [15 points] Find extreme points of the set X = {x R x1 + x2 1, x2+x3 1, x3 + x 1, x1 + x2 + x3 > 2} and represent the set in the form of Conv({1,..., UN}) + Cone ({1,, TM}) Answer: Extreme points of X are: Representation of X as Conv({1,..., UN}) + Cone {1, ..., TM} is X =