I suspect it has more to do with the DOJ price-fixing investigation than the price of fuel.
If the price of fuel had much to do with it, price reductions would have already occurred.
But with the feds investigating and several lawsuits pending, they're more circumspect.
Washington (CNN) - July 2, 1015. The Justice Department has sent subpoenas to several major airlines as part of an investigation into "possible unlawful coordination" to limit capacity increases, and thereby keeping ticket prices high, a department spokeswoman said Wednesday. The department sent civil investigative demand letters to airlines on Tuesday, Justice spokeswoman Emily Pierce said. At issue is whether different airlines are coordinating to keep capacity -- the number of seats available on planes -- stable, having the effect of keeping ticket prices high.
"If not for the radical consolidation we have seen in the airline industry in the last few years, we probably would not even be having this conversation. Now that four carriers control 85 percent of domestic routes, 'collusion' is a thought that's constantly going to be in the back of the minds of federal regulators," U.S. Travel Association President and CEO Roger Dow said in a statement.
A United Airlines spokesperson confirmed to CNN that the airline has received a letter from the DOJ "and we are complying with their requests." American Airlines said they also had received notice from the Justice Department. A spokesperson from Southwest Airlines confirmed receiving notice from Justice and said, "We'll cooperate fully in answering any questions the (Justice Department) has of us."
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http://www.cnn.com/2015/07/01/politics/doj-subpoenas-airlines-unlawful-coordination/