High School

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Suppose that an economy has output [tex]Y = A[/tex], where [tex]Y[/tex] equals $12 trillion, capital [tex]K[/tex] is $27 trillion, and labor [tex]L[/tex] is 64 million workers. Given this information, what is the closest approximation of total?

A. $0.08 trillion
B. $1.16 trillion
C. $9.78 trillion
D. $1.85 trillion

Answer :

Answer:

The closest approximation of the total factor income (TFI) is $812.68 trillion.

None of the provided options match this value.

Explanation:

To find the total factor income (TFI) in the given scenario, we can use the formula TFI = A * (K^0.3) * (L^0.7), where A is the total factor productivity, K is the capital, and L is the labor.

Given:

- Y (output) = A = $12 trillion

- Capital (K) = $27 trillion

- Labor (L) = 64 million workers

1. Calculate TFI:

TFI = $12 trillion * ($27 trillion)^0.3 * (64 million)^0.7

2. Simplify the calculation:

TFI = $12 trillion * $6.48092 * $10.7129

TFI = $812.68 trillion

Therefore, the closest approximation of the total factor income (TFI) is $812.68 trillion.

None of the provided options match this value.

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Rewritten by : Jeany