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Zbl 1231.91278
V{\^\i}lcu, Alina Daniela; V{\^\i}lcu, Gabriel Eduard
On some geometric properties of the generalized CES production functions. (English)
[J] Appl. Math. Comput. 218, No. 1, 124-129 (2011). ISSN 0096-3003

Summary: 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 [{\it G. E. V{\^\i}lcu}, ``A geometric perspective on the generalized Cobb-Douglas production functions'', Appl. Math. Lett. 24, 777--783, (2011)].

MSC 2000:: *91B38 Production theory etc.

Keywords: production function; return to scale; Gaussian curvature; developable hypersurface

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