Here’s another specialization and exchange problem. This problem is wholly made-up, so that you won’t be able to use your intuition about the names of countries or the products to figure out the answer.
Consider the following productivity table: Which country has an absolute advantage at making rotids? At making taurons?
GYRQ7NU824gmvQBsFc+mZkM29hwDa047 has the absolute advantage in producing rotids and GYRQ7NU824gmvQBsFc+mZkM29hwDa047 has the absolute advantage in producing taurons.
Based on your relative opportunity cost calculations, Mandovia has the comparative advantage in producing vb9A9e4Lzm2K6pGGjuv1r+iYorY= and Ducennia has the comparative advantage in making SchntS6vbu0PmBzvRiykPLAyozA=.
One billion hours of labor are available for making products in Mandovia, and 2 billion hours of labor are available for making products in Ducennia. In a no-trade world, let’s assume that half the labor in each country is used to make each product. (In a semester-long international trade course, you’d build a bigger model that would determine just how the workers are divided up according to the forces of supply and demand.)
Fill in a value for each letter in the table by completing the following statements. Enter 1,000,000 as 1; 2,300,000 as 2.3, and so on. Round numbers to one decimal place.
Output of Rotids | Output of Taurons | |
---|---|---|
Mandovia | oZI9zh14cXqi/yhvMX+1w8eUGbdDoWk8 | oTr4GFJmXRqi7w4qHG2Qf3G5pqY= |
Ducennia | nEo0Hz9nobX4JflhG2hd98vtSpB9zVfW | oTr4GFJmXRqi7w4qHG2Qf3G5pqY= |
Total output | +ca9UHjM8DZ02WjfMb6daN44XQAqUj7t | oZI9zh14cXqi/yhvMX+1w8eUGbdDoWk8 |
Now allow specialization. If each country completely specializes in the product for which it holds the comparative advantage, total output of rotids would be Tu9IG1n3UyE= and total output of taurons would be Pz2PEfhsNWI=. Enter 1,000,000 as 1; 2,300,000 as 2.3, and so on, rounding to one decimal place. The total output of each product is VTd5VKUscpoVGkH50Jd5CQ== than before.
Finally, let’s open up trade. Trade has to make both sides better off to occur (or at least no worse off), and in this problem, as in most negotiations, there is more than one price that can make both sides better off (think about haggling over the price of a car or a house). Let’s pick out a case that makes one side better off and leaves the other side just as well -off as in a no-trade world. The price both sides agree to is 3 rotids for 2 taurons. Ship 5 million taurons in one direction, and 7.5 million rotids in the other direction. You’ll have to figure out on your own which way the trade flows. In the following table, calculate the amount that each country gets to consume. Which country is better off under this set of prices? Which one is exactly as well off as before?
Fill in a value for each letter in the table by completing the following statements. Round numbers to one decimal place where necessary.
Mandovia would consume A = KDcUqOYoaQA= million rotids and B = DYU2tVvtzEQ= million taurons while Ducennia would consume C = k3jMG2T1npQ= million rotids and D = DYU2tVvtzEQ= million taurons. Mandovia is h/bF7OaaJqGzjNzY/vsU1ma2U9WzvDnBlxGgRDii0ukqW1m6hJidkWN1g6g=, while Ducennia is h/bF7OaaJqGzjNzY/vsU1ma2U9WzvDnBlxGgRDii0ukqW1m6hJidkWN1g6g= under these prices.
This time, the trade negotiations turn out differently: It’s 2 rotids for 1 tauron. Have the correct country ship 10 million rotids, have the other send 5 million taurons, and fill out the table. One way to make sure you haven’t made a mistake is to make sure that “total consumption” is equal to the “total output” from Question 4 of 7. We can’t create rotids and taurons out of thin air! Are both countries better off than if there were no trade? Which country likes this trade deal better than the deal from Question 6?
Fill in a value for each letter in the table by completing the following statements.
Mandovia would consume A = Pz2PEfhsNWI= million rotids and B = DYU2tVvtzEQ= million taurons while Ducennia would consume C = Pz2PEfhsNWI= million rotids and D = DYU2tVvtzEQ= million taurons. Mandovia is Iz9qSGHltVsKOtJzLslwcYRiytlY9zwa0pUAd0H3I2mZid4ENk/EEgXoF8g= while Ducennia h/bF7OaaJqGzjNzY/vsU1ma2U9WzvDnBlxGgRDii0ukqW1m6hJidkWN1g6g= under these prices.