Mathematical model to calculate breakeven multiple products

Abstract

From a company that cares about have economic control of your product or service provided, the goal is to at least cover your costs, then within classical economics this is done with a graphic of a Point of Balance, but only serves when you have a single type of product, but what happens to the equilibrium point when you have two, three, four, five or more products is real?, and the equilibrium point gives an amount sometimes exceeds the production capacity, then how to consider the production capacity?, but production should be subject to a budget. How do you consider the budget available for production, How to have a generalized scheme that achieves these conditions and others join that arise as the demand?, To solve this problem is proposed to formulate a mathematical model structured in language LINGO , this will allow to have a balance of rounded, and even could be used to break even on price segment. So the proposal is to have a model that calculates the multiple equilibrium point with integer values and enables better business decisions.