Only the individual member of the minority should be responsible for moving up in the work place. However, the government and, perhaps, the business should be responsible for removing any barriers to advancement that exist.
The government must make sure that there are not any barriers being erected on the basis of race or ethnicity that hinder advancement. It must e sure that the playing field is level. Businesses should refrain from instituting any practices that would hold minorities back.
But the actual advancement is up to the individual. He or she must be responsible for working hard and being conscientious. Once the playing field is made level, it is up to the individual to succeed on that playing field.