OK, I’ll start a business that delivers mail to your mailbox. Oh wait, that’s against the law. So there is not way of knowing how much cheaper a privately run mail company would be that delivers to your mailbox.
To repeat Doug, the USPS effectively
is a private company, except the government gets to dictate their prices. And they're not dictating high prices.
Also, in many urban areas, people's mailboxes are at their door, either a wall-mounted box or a slot. So, in those cases, the USPS does no less work than FedEx or UPS, and still charges far less. Alternately, in the case of larger packages, the USPS also does the same work for less money.
In my opinion, the two things that the USPS has wrong are that their tracking is lousy and their rates are confusing. If they fixed those, mostly the rates issue, I think they could improve their customer base for packages significantly.
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