Question: 2) Write the KKT conditions for the problem below: Maximize - 3x+2x - x subject to: 2x + x 6 x + x =

2) Write the KKT conditions for the problem below: Maximize - 3x + 2x - x subject to: 2x + x 6 x + x = 5 X1,

2) Write the KKT conditions for the problem below: Maximize - 3x+2x - x subject to: 2x + x 6 x + x = 5 X1, X2 0 Suppose x* = (a, b) is an optimal solution to this problem. a) Can 'a' be 0? Why? b) Can 'b' be 0? Why? Reject or prove the following arguments using KKT necessary or sufficient optimality conditions. c) The answer (1,4) is the global optimal solution. d) The answer (0.5,4.5) is the global optimal solution.

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