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Members of the Transpacific Stabilization Agreement are recommending two $600 general rate increases and a $400 peak season surcharge.
The third-party logistics provider also cut its first quarter loss in half.
Critics are trying to put brakes on Trade Promotion Authority, while the Obama administration is actively pursuing Pacific Rim and European agreements it says will reduce tariffs and other barriers to U.S. goods in partner nations.
The International Longshore and Warehouse Union said 82 percent of its members voted in favor of ratification.
Trade Promotion Authority, a bill that grants the president authority to conclude trade deals without congressional interference, moved forward in the Senate Thursday morning.
Together with Dynamex, the two units will offer final mile delivery in more than 70 markets.