Question: Show analytically that (x1,x2) = (5,3) is the unique optimal solution. Minimize: x1^4+ x2^4+12 x1^2+6 x2^2-x1x2-x1-x2 Subject to: x1+x2> 8, 2x1-x2> 7 , x1, x2

Show analytically that (x1,x2) = (5,3) is the unique optimal solution. Minimize: x1^4+ x2^4+12 x1^2+6 x2^2-x1x2-x1-x2 Subject to: x1+x2> 8, 2x1-x2> 7 , x1, x2 > 0

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