For the production function Q(K,L) = K^0.5L^0.5, the marginal product of capital is: A) K^-^0.5L^0.5 B) 0.5K^-^0.5L^0.5 C) 0.5K^0.5L^-^0.5 D) 0.25X^-^0.5Y^-^0.5

Question

Quizplus · Accepted Answer

The marginal product of capital is the derivative of the production function with respect to capital, which is:```MPK = dQ/dK = 0.5K^(-0.5)L^(0.5)```Therefore, the correct answer is B) 0.5K^(-0.5)L^(0.5).

For the Production Function Q(K,L) = K0

For the Production Function Q(K,L) = K⁰