Except that's not entirely true. The market dictates lower prices not the corporations themselves. They will keep prices high as long as demand is sufficient, which is until consumer spending power hits bottom because of offshoring.
Tariffs that other countries levy on our products also increase prices domestically. You won't here anything about that from the Free Traders.
What lower prices? I'm paying the same amount of money for cheap labor products like clothing, electronics, and food that I paid when they were made or processed in the states. The only difference is the foreign companies can afford to temporarily lower prices to undercut their American competitors, then raise them again once those competitors are out of business.
That's not fair trade.
Prices aren't lower though. I've seen lettuce being sold for over $1 a head, milk for $3 a gallon. Cars aren't cheaper now than they were in the 70's when American workers were being paid $15 an hour to make them. Funny how then you could buy a new car for $3000 but a car made in Mexico with people making $0.50 an hour goes for 5 times that.