linear programming, soap recipe, mixed integer linear programming

This paper presents a new mixed integer linear optimisation model, which improves the make-up of a recipe of soap. The model respects the manufacturing process of the soap, takes the soapmaker?s favourite fats into account, prevents unbalancing of the soap ingredients and so the soap does not cause any harm to the skin. The model ensures that the recommended indexes of quality are met and that certain types of fats aremutually balanced in a suitable proportion when applicable. Using the mixed integer linear programming model, we compute the corresponding balanced soap recipe with minimal production cost. Then we show the final product, which is as acceptable as possible.