The problem with this is that no such tool should be possible to build. It should not be a matter of yes or no; it should be simply impossible for Apple to build such a tool without the private key of the user, which Apple does not have.
If it is possible to write a piece of software which can circumvent the protections of the iPhone without the user's private key, then Apple wrote its security software incorrectly. Either they wrote it with an appalling lack of security understanding; or they left in important backdoors, either knowingly or through ignorance. But if they wrote the software correctly and did not create backdoors of which they're aware, then the government's request is actually impossible -- cannot be done.
So which is it, Apple? Is the point moot because you did this right? Or have you already placed backdoors in the product which the FBI is now asking you to exploit for their benefit?