In terms of convex analysis the revenue function of a country with a given factor endowment may be seen as the support function of the production possibility set. At the same time this revenue function is the so called convex-conjugate of the indicator function of the production possibility set....

In this article, we advocate more extensive use of the benefit function in specifying price-dependent or inverse demand models. We demonstrate how duality theory may be used to establish the interrelationships between the Marshallian (or Hicksian) inverse demands and Luenberger's adjusted price...