The production function used by the Australian Bureau of Statistics is written Y = AK L rY where Y is aggregate output, A is total-factor productivity, K is aggregate capital, L is the size of the labor force, I is aggregate intermediate input (e.g., energy, material), and the exponents are constants. Given this production function, which of the following expressions correctly represents the growth rate of per-capita income, 9Y? = gA + agK + BgL + Y9I = gA + agk + (1 – B) gL +ygı = 9A + agk + (B– 1) gL +Yg1 O None of the choices given is correct.

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Production And Growth
Section17.1: Economic Growth Around The World
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The production function used by the Australian Bureau of Statistics is written
Y = AK L rY
where Y is aggregate output, A is total-factor productivity, K is aggregate capital, L is the size of the
labor force, I is aggregate intermediate input (e.g., energy, material), and the exponents are
constants. Given this production function, which of the following expressions correctly represents
the growth rate of per-capita income, 9Y?
= gA + agK + BgL + Y9I
= gA + agk + (1 – B) gL +ygı
= 9A + agk + (B– 1) gL +Yg1
O None of the choices given is correct.
Transcribed Image Text:The production function used by the Australian Bureau of Statistics is written Y = AK L rY where Y is aggregate output, A is total-factor productivity, K is aggregate capital, L is the size of the labor force, I is aggregate intermediate input (e.g., energy, material), and the exponents are constants. Given this production function, which of the following expressions correctly represents the growth rate of per-capita income, 9Y? = gA + agK + BgL + Y9I = gA + agk + (1 – B) gL +ygı = 9A + agk + (B– 1) gL +Yg1 O None of the choices given is correct.
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