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Seq Chapter 5

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Preguntas de autoevaluación Capítulo 5

5-1. La compañía Zimmerman excava diques. La función de producción está dada por Q=L12.K; donde Q es el número de diques excavados, L son las horas de labor y K es el número de herramientas utilizadas. a) Llene la siguiente tabla:

b) La función muestra crecimiento, decrecimiento o es constante el retorno a escala?
Al incrementar los inputs o insumos L y K en un mismo porcentaje, la cantidad producida de diques aumenta en un porcentaje mayor. Esto resulta en un retorno a escala creciente. c) ¿Son los productos marginales de K y L crecientes o decrecientes o constantes? Explique

El producto marginal de L es decreciente.

El producto marginal de K es constante.

d) Asumir precios constantes de los inputs (insumos). Dibuje la forma general de las siguientes: (1) Costo medio de largo plazo. (2) Costo marginal de corto plazo asumiendo que la cantidad de L es fijs. (3) Costo marginal de corto plazo asumiendo que la cantidad de K es fija.

(1)
$/und
Q
$/und
Q

La gráfica muestra el costo promedio a largo plazo donde se aprecia que el costo unitario (promedio) va decreciendo a medida que se aumenta la producción hasta el punto óptimo que es cuando el costo marginal es igual al costo total promedio. Dado que ambas variables presenten un retorno de escala creciente, el costo promedio en el largo plazo disminuye. Además los costos fijos se van diluyendo a medida que se produce más output.

(2)
$/und
Q
$/und
Q

La gráfica del costo marginal a corto plazo manteniendo los L fijos muestra que el costo marginal es constante debido a que el retorno de escale de K es constante.

(3)

$/und
Q
$/und
Q

La gráfica del costo marginal a corto plazo manteniendo los K fijos muestra que el costo marginal incrementa debido a que el retorno de escale de L es decreciente.

Caso: Developing economies of scale for Malaysias’ Proton Holdings
¿Qué es lo que quieren decir los analistas cuando dicen que Proton necesita alcanzar economías de escala para ser competitivo? Discuta a nivel general los tipos de acciones que la compañía debería considerar para lograr la escala necesaria.
Los analistas quieren decir que, considerando que toda empresa tiene costos fijos como pueden ser el salario del personal, alquiler de oficina, equipos, etc, siendo estos costos parte de los costos totales (en adición a los costos variables), a medida que la producción se incremente el costo total tendería a aproximarse a la curva del costo variable. La empresa debería de evauar el tamaño de su operación para la producción necesaria de manera que los costos marginales tiendan a ser iguales al costo total promedio (minimizar el costo unitario).

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