Help – Animal feed concentrate

The model can be written in a number of ways, all of which can be accurate and lead to the same result. Here is one possibility. We have chosen the following names for the data and variables.

Type Name Description
SET I /maize, peas, soya/ All ingredients
SCALAR TMIN1 Minimum TNM content (g/kg)
TMIN2 Minimum fat content (g/kg)
TMAX3 Maximum mineral matter content (g/kg)
TMAX4 Maximum crude fibre content (g/kg)
PARAMETER TC1(I) à TC4(I) Known nutrient contents for each ingredient (g/kg)
PX(I) Price of ingredients in euro per kilo
POSITIVE VARIABLE X(I) Quantity of each ingredient for a kilo of concentrate
VARIABLE C Total production cost for a kilo of concentrate
EQUATION GOAL Sum of production costs
T_MAT Minimum TNM content constraint
T_matG Minimum fat content constraint
T_minerals Maximum mineral matter content constraint
T_fibre Maximum crude fibre constraint
WEIGHT Total ingredient quantities weigh a kilo