04 Jun Question Problem 1 Canada and U.S. trade two products
Question
Problem 1
Canada and U.S. trade two products with each other – Cars (C) and Textile (T ). Denote all US variables with . Each product is produced using labour only but there are two types of workers in each industry: low-skilled workers (L) and high-skilled ones (H). Unskilled workers can easily change occupation and move from one industry to another if they can earn more there. Skilled workers, however, cannot change occupation because their skills are specic to the industry in which they work. For example, in the clothing industry there is no demand for skilled mechanics who spent most of their lives assembling cars. Denote with L low-skilled labor, so that LC and LT are employment of low-skilled workers in auto and textile industries and LC + LT = L is the full employment condition for unskilled labor with L being the total number of unskilled workers. For skilled labor, employment levels are given exogenosuly by H C and H T .
Production technologies in the two industries are the same in both countries and are given by the following production functions:
1
YC = LC H C
YT = L T + H T
where YC and YT are output levels. Consumers in both countries have the same preferences given by utility function
4
3
U = DC DT
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