A firm has a production function as follows:

F(L,K)=(KL)^1/2

** Part a. (5 marks)

Is the production function exhibiting constant/increasing/decreasing returns to scale?

** Part b. (5 marks)

Does the production function have positive marginal products of labor and capital for any K,L>0?

** Part c. (5 marks)

Show that the production function has diminishing marginal product of labor.

** Part d. (5 marks)

Show that the production function has diminishing marginal product of capital.