Balancing pairs of interfering elements

Many decisions in different fields of application have to take into account the joint effects of two elements that can interfere with each other. For example, in Industrial Economics the demand for an asset can be influenced by the supply of another asset, with synergic or antagonistic effects. The same happens in Public Economics, where two differing economic policies can create mutual interference. Analogously, the same can be said about drugs in Veterinary Science and Medicine, additives in agriculture, diets in zoo-technics and so on. When it is necessary to use such elements, there is sometimes a primary interest for one effect rather than another: for instance, the effect/influence of one could be twice as large as that of the other. In such cases, it is important to consider the extent of influence of the elements in the dose of the elements. With this in mind, the model proposed here helps to determine optimal quantities of two elements that interfere with each other, taking into account the minimum quantities to be allocated. A method for determining solutions for continuous effects' functions is given. The specific quality of this model is that it provides a direct method, and not an iterative one, to obtain the solution.