The Production Functions from the Point of View of 3- Dimensional Geometry

In this paper we shall make an analysis of production functions from the space’s point of view. We shall obtain some interesting results like that all the points of the surface are parabolic, the total curvature is always null, the conditions when a production function is minimal and finally we give the equations of the geodesics on the surface i.e. the curves of minimal length between two points.