Question 5 5.1 Suppose an economy's production function is Y = AK L'«. If the annual rate of economic growth is 4.5 per cent and labour and capital are both growing annually by 3 per cent and 4 percent respectively, what contribution to growth is made by total factor productivity? You can assume that labour receives 65 per cent of the total income generated in this economy. 5.2 Does this mean that labour contributes 65 per cent of the increased output? Explain.

Question 5 5.1 Suppose an economy's production function is Y = AK L'«. If the annual rate of economic growth is 4.5 per cent and labour and capital are both growing annually by 3 per cent and 4 percent respectively, what contribution to growth is made by total factor productivity? You can assume that labour receives 65 per cent of the total income generated in this economy. 5.2 Does this mean that labour contributes 65 per cent of the increased output? Explain.

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter16: Economic Growth

Section: Chapter Questions

Problem 5E

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Suppose you are given data on the rate of growth of GDP, capital, and labour, and the share of these two factors in GDP. How would you calculate the contribution of Total Factor Productivity to growth? Explain it verbally and formally.
In the production function, Total factor productivity = A = 3.5% Labor input = L = 0.75 Capital input = K = 1 – 0.75 = 0.25 Therefore, Y = 3.5% - {(0.25 × 2%) + (0.75 × 2%)} = 3.5% - (0.005 + 0.015) = 0.035 – 0.02 = 0.015 = 1.5% Answer: Contribution to growth by total factor productivity is 1.5%. Does this mean that labour contributes 75 per cent of the increased output? Explain.
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