RECURSIVE FORMULA FOR NUMBER OF COWS IN MILK PRODUCTION

We study the dependence of maximum number of cows K_n after n years, involved in milk production, on following parameters: an initial number of pregnant heifers K, average percentage of successful calving, calving of female calves and twin calving, marked as p₁, p₂ and p₃, respectively. We have established a recursive formula for maximum number of cows K_n. If n=4, then K4=(1+p)· (1+3p) · K, where p stands for average percentage increase in number of cows after two years; p is 88% of p, where p stands for average annual percentage increase in number of female calves. It has been performed an analysis for percentage increase in number of cows K_n in milk productions, if the percentage of calving is between 80% and 90%, for n=2,3,4,5,6. Proposed formulae can be used for numerous additional financial analyses in milk production.