It is not unreasonable to believe that most, if not all, important inn
ovations are embodied in an industry's capital stock. The notion that
the efficiency of large scale of production is brought about mainly by
a larger size capital stock or a more advanced one is not new. The pu
rpose of this paper is to search for production functions that allow t
he scale elasticity to vary with respect to capital stock and, at the
same time, contains desirable properties of diminishing returns to lab
or and/or factor substitutability. There are numerous SSWK production
functions. However, the objectives of this paper are to, first of all,
find a general way to generate the SSWK production functions, and sec
ondly, to find those SSWK's with certain desirable properties.