Amtrak loses so much money on its Chicago-to-Florida trains that it could cancel the runs, give each passanger a free airplane ticket and come out ahead. That is the kind of problem U.S. Secretary of Transportation Brock Adams is trying to solve with his plan to "restructure" Amtrak's route system by cutting back on or eliminating 13 routes that are unprofitable and adding a handful of new routes. Opponents say the plan would "massacre" a viable national transportation system and would have almost no effect on the country's massive national deficit. Supporters say such cutbacks are the only way to get Amtrak out of the taxpayers' pockets. According to a Department of Transportation study, Amtrak is losing $500 million a year. By 1984, $1 billion a year, money that must be paid by the taxpayer.