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I think I can help you with that. Just work through the following scenario:

We both live in America. If you can peel potatoes 3 times faster than me, and you can shuck corm 2 times as fast, theses are the possible outcomes in 2 units of time:

1. You do both: you produce 3 potatoes and 2 ears of corn(5 veggies).

2.I do both: I produce 1 potato and 1 ear of corn(2 veggies).

3. I do the potatoes and you do the corn: We produce 2 potato and 4 ears of corn(6 veggies)

4. You do the potatoes and I do the corn: We produce 6 potatoes and 2 ears of corn(WOAH!!! (8 veggies)

What you are saying, is that AS SOON AS I CROSS THE BORDER, we no longer produce 8 veggies. As ridiculous as this sounds, you don't stop there. You posit that, not only do we fail at making 8, but we actually get poorer, meaning that we can't even produce the 5 veggies that you can make by your self.

Let's change the scenario to test your idea. I'll let you run the calculator. The scenario:

You live in America. I move to China. If you can peel potatoes 3 times faster than me, and you can shuck corm 2 times as fast, what are the possible outcomes in 2 units of time?

I look forward to your calculations......

"I do not add 'within the limits of the law,' because law is often but the tyrant's will, and always so when it violates the right of an individual."