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Situacin: Explique el Mtodo de los Multiplicadores de Lagrange para resolver problemas de optimizacin que tengan restricciones. Utilice como ejemplo uno de los siguientes ejercicios:

Situacin: Explique el Mtodo de los Multiplicadores de Lagrange para resolver problemas de optimizacin que tengan restricciones. Utilice como ejemplo uno de los siguientes ejercicios: 1. Minimizar f(x, y)=3x+y+ 10 sujeto a la restriccin x2y = 6. 2. Maximizar f(x, y, z) 3. Minimizar f(x, y, z) xyz sujeto a la restriccin x+y+2=6 2x2+ y2 + 3z2 sujeto a la restriccin 2x-3y-47-49 I=

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