there are very few trains anywhere in the world that are profitable if "profit" is determined by the balance of cost vs income.
most countries with extensive, speedy and reliable train service measure the "profit" of their systems by considering other measures in addition to these two very simplistic measurements.
Here in Japan, JR and the other train operators are extremely profitable, since they also act as developers in the land over their stations, so obviously they build and profit from shopping, apartment and office towers on every station. Which makes sense - you didn’t ride the train just to ride a train, you rode it to go somewhere.
Many train systems (eg japan) make profit on renting station space, they are actually profitable overall without subsidy, but this is very much like the land grant system used to fund America’s first railroads. Perhaps something like that would work in the USA again
most countries with extensive, speedy and reliable train service measure the "profit" of their systems by considering other measures in addition to these two very simplistic measurements.