Using artificial insemination (AI) allows a dairy farmer access the best bulls in the world so as to get the desired improvements in the daughters born from this bull. For size, this improvement will be seen after birth and during the growth of the calf and for milk, this will be seen after about 2.9 years from the day the mother conceived after the daughters give birth. This long time line and the fact that you will not want to maintain a poor cow means you should get the best possible improvements in the heifer as compared to their mother.
Therefore all farmers are advised to carefully choose the bull to use for AI in their heifer/cow and confirm that your inseminator will have it in stock long before the animal will need it.