Question

For the production function Q(K,L) = K^0.5L^0.5, the marginal product of capital is:

Please explain your answer, thank you.

Answer 1

Solution : Q = K^0.5.L^0.5

In order to find the marginal product of capital ,differentiate Q with respect to K .

MPK = = 0.5K^(0.5-1) L^0.5

MPK = 0.5( L/K)^0.5

We need to partially differentiate Q with respect to K so L will be cosntant.