This paper introduces a flexible multiproduct cost function that permi
ts zero values of one or more of the outputs and can impose restrictio
ns quite easily, if not automatically satisfied, to ensure global conc
avity property. It satisfies linear homogeneity (in prices) property a
nd is flexible in the output space. Thus the function is ideal for est
imating, for example, economies of scope, cost complementarity, produc
t-specific returns to scale, etc., without worrying about zero values
of output(s) and extrapolations to points far from the point of approx
imation. As an empirical application, we use panel data (1978-1985) on
12 Finnish foundry plants to estimate technical progress, overall ret
urns to scale, product-specific returns to scale and economies of scop
e.