If your top priority is a profit-making business, you need to provide a product that is (or, at a minimum, people perceive as) valuable.
Perhaps you can't have two top priorities (I actually am not sure I agree that this is the case, I don't see that it is actually impossible for two priorities to be equal in priority and above all others), but even if you can't, its quite possible for "business" to be a means and "education" to be the goal, and vice versa. They aren't incompatible.