Business I / Economic Applications
Practice question · True or false

In Q=AK0.4L0.6Q = AK^{0.4}L^{0.6}, the exponent 0.4 is the marginal product of capital.

Hints
  1. What does the exponent measure, a level or a share?
  2. It is an elasticity.
Show the answer

False

Why

False. The exponent is the output elasticity of capital, and under competitive factor pricing it equals capital's share of output. The marginal product is Q/K=0.4Q/K\partial Q/\partial K = 0.4Q/K, which changes with the input levels, the exponent does not. Exponents summing to 1 is what makes the function constant-returns.

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