That is one of the problems with the way the fed is set up, they have no incentives to make a profit. The Fed takes in trillions of dollars and usually shows a profit of maybe $20 Billion or so, which is pocket change for them. The federal reserve really has an unlimited expense account with no incentive to keep their spending in check.
I don't believe you can say that the fed takes in "trillions of dollars" it isn't anything close to that.
But if set up as a profit making institution the Leftists and conspiratorialists would have a field day attacking it.