The investigation of the generalized model of a pure industry

The generalized Hauthakker–Johansen model is investigated for the case of positive homogeneous production functions on the micro level. The production functions aggregated from micro description have properties postulated in neoclassical economic theory. The duality between production and profit function is proved. This reduce the investigation of the correspondence between production functions and capacity distributions to the investigation of integral operator of profit, which generalize the Radon transform.