Suppose the production function for good q is given by q=3 K + 2L where K and L are capital and labor inputs. Consider three statements about this function:
I. The function exhibits constant returns to scale
II. The function exhibits diminishing marginal productivities to all inputs
III. The function has a constant marginal rate of technical substitution
Which of these statements are true?
A) All of them
B) None of them
C) I and II but not III
D) I and III but not II
E) Only I
9) For any given output