Lawl and government

Answer the following (200 words minimum):

You run a store in Easton, PA (just across from the PA-NJ border) specializing in hair products for African American teens.  Recently you have had rowdy groups coming from New Jersey, harassing your customers.  All of the harassers are Caucasian. In response, you put up this sign:

This store only sells African American hair products.  No Caucasian is permitted on the premises.

Under Heart of Atlanta, is this system allowed?  Why or why not?

* I need someone to answer this question for me for $10