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Given a Production Function Yt=AˉKt1/3Lˉ2/3Y _ { t } = \bar { A } K _ { t } ^ { 1 / 3 } \bar { L } ^ { 2 / 3 }

question 15

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Given a production function Yt=AˉKt1/3Lˉ2/3Y _ { t } = \bar { A } K _ { t } ^ { 1 / 3 } \bar { L } ^ { 2 / 3 } , if Aˉ=2,Lˉ=4,sˉ=0.2\bar { A } = 2 , \bar { L } = 4 , \bar { s } = 0.2 , and dˉ=0.05\bar { d } = 0.05 :
(a) Calculate the steady-state level of capital and output.
(b) Does the above production function exhibit constant returns to scale, or does it exhibit diminishing marginal returns? Explain, and define the difference between these two concepts.

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Definitions:

Marketing Actions

Marketing actions entail strategies and tactics implemented by businesses to promote their products or services, aiming to enhance brand awareness and stimulate demand.

Product Groupings

The organization of products into categories or families based on similarities in function, customer segment, or other characteristics, facilitating easier management and marketing.

Demographic Variables

Demographic variables are characteristics such as age, gender, income, education level, and ethnicity, used to classify and understand target markets or populations.

Psychographic Variables

Characteristics of consumers or markets based on interests, lifestyles, attitudes, and values for segmentation purposes.

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