Suppose production q = f(k, I), is a homogeneous function of degree 1. Consider the function following statements.

(A) The marginal products of capital and labour \(\left(\frac{\partial \mathrm{q}}{\partial \mathrm{k}} \text { and } \frac{\partial \mathrm{q}}{\partial \mathrm{l}}\right)\)are homogeneous of degree 1.

(B) The second order cross marginal products of k and 1 are equal \(\left(\text { i.e., } \frac{\partial^2 \mathrm{q}}{\partial 1 \partial \mathrm{k}}=\frac{\partial^2 \mathrm{q}}{\partial \mathrm{k} \partial \mathrm{l}}\right)\).

(C) By Euler's Theorem: \(\frac{\partial \mathrm{q}}{\partial \mathrm{k}} \cdot \mathrm{k}+\frac{\partial \mathrm{q}}{\partial \mathrm{l}} \cdot \mathrm{l}=\mathrm{q}\)

(D) By Euler's theorem: \(\frac{\partial^2 \mathrm{q}}{\partial \mathrm{k}^2} \cdot \mathrm{k}+\frac{\partial^2 \mathrm{q}}{\partial \mathrm{l}^2} \mathrm{l}=0\)
 
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