Sullivan Robbins
03/17/2023 · Senior High School
Materia Calculo Vectorial Unidad 4 Derivadas Parciales Participación PROBLEMA 11 Maximizar la utilidad \( U(x, y)=\sqrt{x y} \) sujeta a la restriccion de presupuesto que es el precio por la cantidad que es igual al ingreso \( 0.25 x+y=2 \)
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Para maximizar la utilidad \( U(x, y) = \sqrt{xy} \) con la restricción \( 0.25x + y = 2 \), se utiliza el método de Lagrange multipliers. Se calculan las derivadas parciales de la función objetivo y la restricción, se establece un sistema de ecuaciones y se resuelve para encontrar los valores de \( x \), \( y \) y \( \lambda \).
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