6. La función de Utildad en una industria es U(x1, x2) = Axxx₁, considere los siguientes problemas: P1 máx U(X) s.a p² x = m p²x p vector de precios P2: mín px s.a U(X) = U a) determine la relación entre: V₁(p, m) Эт OV₂(p,U) y au donde V₁ y V₂ son las funciones de máximo valor, con los multiplica- dores de lagrange asociados a los problemas P₁ y P2 respectivamente. b) Se conoce que V₂(p,Ū) = −E(p,Ū) y que E(p, V₁(p, m)) = m muestre que si λ₁ es el multiplicador para P₁ y λ₂ es el multiplicador para P2 entonces A₁₂ = −1|

6. La función de Utildad en una industria es U(x1, x2) = Axxx₁, considere los siguientes problemas: P1 máx U(X) s.a p² x = m p²x p vector de precios P2: mín px s.a U(X) = U a) determine la relación entre: V₁(p, m) Эт OV₂(p,U) y au donde V₁ y V₂ son las funciones de máximo valor, con los multiplica- dores de lagrange asociados a los problemas P₁ y P2 respectivamente. b) Se conoce que V₂(p,Ū) = −E(p,Ū) y que E(p, V₁(p, m)) = m muestre que si λ₁ es el multiplicador para P₁ y λ₂ es el multiplicador para P2 entonces A₁₂ = −1|

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter7: Production, Costs, And Industry Structure

Section: Chapter Questions

Problem 8SCQ: Automobile manufacturing is an industry subject to significant economies of scale. Suppose there are...

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Question

Please explain to me how to solve this problem. Try to be as specific as possible. Thanks

6. La función de Utildad en una industria es U(x1, x2) = Axxx₁, considere
los siguientes problemas:
P1 máx U(X) s.a p² x = m
p²x
p vector de precios
P2: mín px s.a U(X) = U
a) determine la relación entre:
V₁(p, m)
Эт
OV₂(p,U)
y
au
donde V₁ y V₂ son las funciones de máximo valor, con los multiplica-
dores de lagrange asociados a los problemas P₁ y P2 respectivamente.
b) Se conoce que V₂(p,Ū) = −E(p,Ū) y que E(p, V₁(p, m)) = m
muestre que si λ₁ es el multiplicador para P₁ y λ₂ es el multiplicador
para P2 entonces A₁₂ = −1|

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