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.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter7: Production Economics
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Problem 7E
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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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