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The solution to the problem minf(x,y,z)=x2+y2+zs.t.{x2+2xy+z2+y2=25x+y+z=1 is (x,y,z)=(43,43,21) with Lagrange multipliers equal to 1=81 and 2=89. What is the approximate change of the value function

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The solution to the problem minf(x,y,z)=x2+y2+zs.t.{x2+2xy+z2+y2=25x+y+z=1 is (x,y,z)=(43,43,21) with Lagrange multipliers equal to 1=81 and 2=89. What is the approximate change of the value function f, if we change the first constraint to x2+2xy+z2+y2=3 and the second constraint to x+y+z=0.5? 1 0.5 0.5 0.75 The solution to the problem minf(x,y,z)=x2+y2+zs.t.{x2+2xy+z2+y2=25x+y+z=1 is (x,y,z)=(43,43,21) with Lagrange multipliers equal to 1=81 and 2=89. What is the approximate change of the value function f, if we change the first constraint to x2+2xy+z2+y2=3 and the second constraint to x+y+z=0.5? 1 0.5 0.5 0.75

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