Shalikashvili revealed that the mission could cost $2 billion -- not the initial White House estimate of $1.2 billion -- and that the total number of American ground troops in the region would be 32,000. About 3,500 reservists would also be called up. "Once you get away from the 20,000 troops in Bosnia," says TIME's Thompson, "the numbers can be a little goofy. The best guess at this time, including the support troops, is a figure somewhere between 30,000 and 40,000 committed to the operation in Bosnia and rim countries like Hungary and Italy." House hearings are scheduled to end today; the Senate's turn comes Friday.