Question: Consider the linear optimization problem max cx where c = (2019, 2, 1,4, 10) and b = (1,2). (a) What is the rank of

Consider the linear optimization problem max cx where c = (2019, 2, 1,4, 10) and b = (1,2). (a) What is the rank of A? s.t. Ax=b, x20 A = 1 3 6 1C 24 801) 19) (b) True or false: The set {2019,2} is a basis. (c) True or false: The set {2,3} is a basis. (d) True or false: The set {1,2,3} is a basis. (e) True or false: The set (1,4} is a basis. (f) Find the dictionary for basis {1,2}. (g) What is the precise relationship between degeneracy, cycling, and the lexico- graphic method?

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