Historically, the minimality of surfaces is extremely important in
mathematics and the study of minimal surfaces is a central problem,
which has been widely concerned by mathematicians. Meanwhile, the study
of the shape and the properties of the production models is a great
interest subject in economic analysis. The aim of this paper is to study
the minimality of quasi-sum production functions as graphs in a
Euclidean space. We obtain minimal characterizations of quasi-sum
production functions with two or three factors as hypersurfaces in
Euclidean spaces. As a result, our results also give a classification of
minimal quasi-sum hypersurfaces in dimensions two and three.