Question: Consider the following polyhedral set = {(1, ... , ): 0 1 , = 1}. =1 (a) Fully characterize the extreme points. (b) Show that

Consider the following polyhedral set = {(1, ... , ): 0 1 , = 1}. =1 (a) Fully characterize the extreme points. (b) Show that for any 1 and , the inequality holds. (( 1) ( )) 1. =1 (hint: consider convex maximization over a polyhedral set)

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