Profits at big U.S. companies broke records last year, and so did pay for CEOs. The head of a typical public company made $9.6 million in 2011, according to an analysis by The Associated Press using data from Equilar, an executive pay research firm. That was up more than 6 percent from the previous year, and is the second year in a row of increases. The figure is also the highest since the AP began tracking executive compensation in 2006.