Question: Hi, please help 5. Consider the polyhedral set S 2 {cc 6 R : Am 3 b; :1: 2 0} with m linear inequality constraints

Hi, please help

5. Consider the polyhedral set S 2 {cc 6 R" : Am 3 b; :1: 2 0} with m linear inequality constraints and n nonnegativity constraints. (a) Prove that x E S is an extreme point of S if and only if the number of lin early independent constraints (including the nonnegativity constraints) that are binding at a: is at least n. 57 (b) Characterize a degenerate extreme point of S. 2

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