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Using the lagrangean approach optimize the following functions 3x2+y2-2xy subject to 6=x+y (5) 4x2-3x+5xy-8y+2y2 Subject to x=2y (5) 26x-3x2+5xy-6y2+12y Subject to 3x+y=170 (5) x10.6x20.4 subject

Using the lagrangean approach optimize the following functions
3x2+y2-2xy subject to 6=x+y (5)
4x2-3x+5xy-8y+2y2 Subject to x=2y (5)
26x-3x2+5xy-6y2+12y Subject to 3x+y=170 (5)
x10.6x20.4 subject to 5000X1+5000X2=2000000

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