The structure of production technologies with ratio inputs and outputs

Abstract Applications of efficiency and productivity analysis in which some inputs outputs are given the form percentages, averages other types ratio measures sufficiently common literature. In two recent papers, authors developed variable constant returns-to-scale technologies with both volume outputs, referred to as R-VRS R-CRS technologies. These generally nonconvex have a complex structure. this paper we explore detail. We show that technology can be stated union finite number specially constructed standard VRS Similarly, all fixed type, typically used represent environmental quality factors, partial polyhedral cones. these results important theoretical, including conceptual, implications.