Find the following for each equation:

- The marginal product of each input

- Find if the production function shows diminishing marginal returns to each input

- Calculate the marginal rate of technical substitution and explain how MRTS_AB alters as the firm uses more A, holding output constant

- Does the production function have constant, decreasing, or increasing returns to scale?

The equations:

a) Q(A,B) = 3A + 2B

b) Q(A,B) = 10A^0.5B^0.5

c) Q(A,B) = A^0.25B^0.25