Activity 16 : Dairy farm – Solution Part A

The farmer chooses to feed his herd with the “grass-based” diet. He has around 43 cows and therefore 13 heifers and 26 calves. He grows 26 ha of wheat, 4 ha of maize and 19 ha of grassland. All his wheat production gets sold.

The optimum number of animas is as follows :

Dairy cow 42.857
Heifers (alive) 12.857
Calves (sold) 25.714

Optimum cropping pattern is as follows :

Wheat 26.104 ha
Maize 3.896 ha
Grassland 19.286 ha

Income is as follows  : 56 629.87€.

Checking the number of animals present and the renewal and culling rates :

0.3 * 42.857  = 12.857
0.6 * 42.857 = 25.714

Checking whether the food needs are covered by the arable land production :

With 19ha of grassland he produces :
        Grazing: 5*19.286 = 96.43 T
        Hay : 4.5*19.286 = 87.787 T
        Wrapped bales : 2.2*19.286 = 42.42 T
        Maize : 11*3.896 = 42.86 T

To feed his animals, he needs :
        Grazing : 1.5*42.857 + 12.857*2.5 = 96.43 T
        Hay : 2*12.857=25.714 T
        Wrapped bales : 2.6*12.857=33.4282 T
        Maize : 1*42.857=42.857 T

Production is therefore much more significant than needs.

The solution model is as follows : modelEco_dairyFarm_1.gms