Article ID Journal Published Year Pages File Type
4630830 Applied Mathematics and Computation 2011 6 Pages PDF
Abstract

In this paper we prove that the generalized CES production function has constant return to scale if and only if the corresponding hypersurface is developable. Moreover, we establish that this production function has decreasing/increasing return to scale if and only if the corresponding hypersurface has positive/negative Gaussian curvature. These results are a generalization of some recent results concerning the generalized Cobb–Douglas production functions [G.E. Vîlcu, A geometric perspective on the generalized Cobb–Douglas production functions, Appl. Math. Lett. 24 (2011) 777–783].

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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