Consider Two Competitive Economies That Have the Same Quantities of Labour

question 51

Essay

Consider two competitive economies that have the same quantities of labour (L = 400) and capital (K = 400), as well as the same technology (A = 100). The economies of the countries are described by the following Cobb-Douglas production functions:
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North Economy: Y = A L^.3K^.7
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South Economy: Y = A L^.7K^.3
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a.Which economy has the larger total production? Explain.
b.In which economy is the marginal product of labour larger? Explain.
c.In which economy is the real wage larger? Explain.
d.In which economy is labour's share of income larger? Explain.​

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Definitions:

Expected Value

Expected Value is a statistical concept that calculates the mean of all possible values of a random variable, weighted by their probabilities of occurrence.

Shopping Outlet

A retail store or complex that sells goods directly from manufacturers at reduced prices.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how spread out the values are from their mean.

Variance

A measurement of the spread between numbers in a dataset, indicating how much the values differ from the mean.