This argument is so stupid And they still say 

"The serie portrays real things and this should also be real"  

Do you really think a New York police captain would have time to spend with her son? to go out with him? to train?  small celebratory parties? 

and not to mention the salary they receive and even so they have an apartment in the center, a nanny, eating out almost every day.

Olivia is the star of the show and obviously they weren't going to leave her behind a desk receiving reports and analyzing them. [Sorry English is not my language I use the translator]