However, it's clear that the vast majority of resources are devoted to black areas and poor areas, and to responding to directly "violent" crime. A mugging is more sensational than white collar crime, but from a purely utilitarian standpoint, I'm not sure it's rational to devote more resources to catching the mugger when, for example, there is widespread wage theft depressing incomes in the mugger's city. Which causes more damage in the long run?
If all crime is committed by South Asian women, you're right that it would be madness not to use that information to target crime-fighting measures such as, for example, only looking for suspects that are female and have a South Asian suspects.
Profiling, however, where you preventively search if not outright harass people, is something entirely different: if one in ten South Asian women engage in crime, every time you preventively search and harass one of them, you have a ninety percent chance of searching and harassing someone who is innocent.
If there are credible reports of a white man committing murders it doesn't make any sense to waste resources listing mainly female Asian suspects, for example. There are also other similar issues. For example, if a crime happens on my street I expect to be treated as more of a suspect based only on my proximity.
The issue of racism is (and needs to be) grounded in things other than rational resource allocation.