Question: Given the objective functionf(x1,x2)=2x124x22+4f(x 1 ,x 2 )=2x 12 4x 22 +4and the constraintg(x1,x2)=x1+x2+12=0,g(x 1 ,x 2 )=x 1 +x 2 + 21 =0,find the

Given the objective functionf(x1,x2)=2x124x22+4f(x 1 ,x 2 )=2x 12 4x 22 +4and the constraintg(x1,x2)=x1+x2+12=0,g(x 1 ,x 2 )=x 1 +x 2 + 21 =0,find the stationary point (x1,x2)(x 1 ,x 2 ) using the method of Lagrange multipliers, assuming the Lagrange multiplier =1=1.Select the correct values of x1x 1 and x2x 2 from the optionsprovided.

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