This paper derives a family of multiple-output multiple-input production functions from the underlying technologies. These technologies are represented by average yield functions for each of the commodities (crops) produced from a common pool of resources. The production functions are implicitly separable. Examples include the CRETH, translog, generalised power and generalised McFadden functions. Moreover, given a function which is a member of this family, the individual commodity yield and production functions can be recovered. Such implicitly separable multiple-output production functions may exhibit economies or diseconomies of scope which reflect the interactions between outputs sharing a common pool of resources.