Be the production function Q (K, L) (K: +213) ", where k is the amount usedCapital and L is the amount used of work.o.(a) Demonstrate that the functional equation Q (K/L)EQ (6.5) defines Kas a function of Lin an environment of the delPoint (6.5).(b) If the amount used of the 1NPUTLincreases 1 unit, how much does the amount have to increase or decrease? ntidadEmployee of INPUTK to maintain constant production?e?(c) If the employee amount of INPUT lincreases by1%, how much does the amount have to increase or decrease? nlidadEmployee of INBUT K to maintain constant production?e? 8.Sea la función de producción Q(K,L) = (Ki + 2 L), donde K es la cantidad utilizada decapital y L es la cantidad utilizada de trabajo.(a) Demuestre que la ecuación funcional Q(K, L) = Q(6,5) define a K como función de L en un entorno delpunto (6, 5).(b) Si la cantidad utilizada del input L aumenta 1 unidad, ¿cuánto tiene que aumentar o disminuir la cantidadempleada del input K para mantener la producción constante?(c) Si la cantidad empleada del input L aumenta un 1%, ¿cuánto tiene que aumentar o disminuir la cantidadempleada del input K para mantener la producción constante?

Given: Q = (11/81)*(K1/4 + 2L1/4 )4 Q(K,L) = B(6,5)

Be the production function Q (K, L) H (K: +213) ", where k is the amount used Capital and Lis the amount used of work.o. (a) Demonstrate that the functional equation Q (K, L)Q (6.5) defines Kas a function of Lin an environment of the del Point (6.5). (b) If the amount used of the 1INPUTLincreases 1 unit, how much does the amount have to increase or decrease? ntidad Employee of INPUT K to maintain constant production?e? (c) If the employee amount of INPUT lincreases by 1%, how much does the amount have to increase or decrease?ntidad Employee of INPUT K to maintain constant production?e?

Be the production function Q (K, L) H (K: +213) ", where k is the amount used Capital and Lis the amount used of work.o. (a) Demonstrate that the functional equation Q (K, L)Q (6.5) defines Kas a function of Lin an environment of the del Point (6.5). (b) If the amount used of the 1INPUTLincreases 1 unit, how much does the amount have to increase or decrease? ntidad Employee of INPUT K to maintain constant production?e? (c) If the employee amount of INPUT lincreases by 1%, how much does the amount have to increase or decrease?ntidad Employee of INPUT K to maintain constant production?e?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Be the production function Q (K, L) (K: +213) ", where k is the amount used
Capital and L is the amount used of work.o.
(a) Demonstrate that the functional equation Q (K/L)EQ (6.5) defines Kas a function of Lin an environment of the del
Point (6.5).
(b) If the amount used of the 1NPUTLincreases 1 unit, how much does the amount have to increase or decrease? ntidad
Employee of INPUTK to maintain constant production?e?
(c) If the employee amount of INPUT lincreases by1%, how much does the amount have to increase or decrease? nlidad
Employee of INBUT K to maintain constant production?e?

8.
Sea la función de producción Q(K,L) = (Ki + 2 L), donde K es la cantidad utilizada de
capital y L es la cantidad utilizada de trabajo.
(a) Demuestre que la ecuación funcional Q(K, L) = Q(6,5) define a K como función de L en un entorno del
punto (6, 5).
(b) Si la cantidad utilizada del input L aumenta 1 unidad, ¿cuánto tiene que aumentar o disminuir la cantidad
empleada del input K para mantener la producción constante?
(c) Si la cantidad empleada del input L aumenta un 1%, ¿cuánto tiene que aumentar o disminuir la cantidad
empleada del input K para mantener la producción constante?

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