Question: Linear Optimization question, thanks. 10 points Exercise [U][G] ... Consider the polyhedron defined by the following system of linear inequalities: 21 23 = + X2

Linear Optimization question, thanks.

10 points Exercise [U][G] ... Consider the polyhedron defined by the following system of linear inequalities: 21 23 = + X2 + 2x2 + 4x2 321 + + 2x4 + 7x3 + 6x3 + 2x4 2x5 + 425 24 1 7 6 0. 231 X 5 Consider the three vectors (1/2, 1, 1/2,0,0), (1,2,0,0,0) and (1,0,0,1,0). For each vector: (a) (5 points) Say if the vector is a basic solution and, if so, specify if the basic solution is degenerate and determine all the bases associated to it. (b) (5 points) Say if the vector is a vertex and, if so, determine an objective function that is uniquely minimized at the vertex

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Linear Optimization question, thanks. Exercise 10 [U][G] ...... 10 points Consider the polyhedron P defined by the following system of 5 linear inequalities in 3 variables 21, 22, 23. 231 +4x3

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