Optimal livestock diet formulation with farm environmental compliance consequences

The current method to derive livestock diets is to optimize cost performance subject to animal performance and resulting nutritional requirements via a linear programming model. In contrast, we examine the livestock diet formulation problem as a multi-criteria decision model with the criteria being cost performance, feed efficiency, and environmental compliance costs. We find that there are many situations where farm financial situations are improved by feeding products with higher costs per unit of protein but lower phosphorus levels.