Reference no: EM13743123

A country is populated with workers who produce either food (F) or clothing (C). There are 200 workers producing food and 100 producing clothing. These numbers are Öxed for now. Each food worker produces 6 units of food and each clothing worker produces 3 units of clothing. Workers own the output they produce and can trade with another. All workers share the same preferences over food and clothing represented by the utility function:
U(DC;DF) = (DC)1=3 (DF)2=3 :
(a) What is the autarky trade price (the relative price of food and clothing) in this economy?
(b) In autarky, how many units of food and clothing will be consumed by a clothing worker? By a food worker?
2) There also exists another country (ìForeignî) that looks surprisingly like the Home coun- try except that there are 600 food workers and 300 clothing workers in this country. These workers have di§erent (lower) productivity levels: a food worker can produce only 1 unit of food while a clothing worker can only produce 2 units of clothing. The workers in Foreign share the same preferences as those in Home.
(c) Answer questions (a) and (b) for the Foreign economy in autarky.
(d) Compare the consumption levels of workers in both countries. What explains the di§er- ences between countries?
3) Now assume that these 2 countries open to trade with one another.
(e) What will be the free trade relative price of food and clothing?
(f) Describe the pattern of production and trade (who produces what and in what quantities; who exports what).
(g) What is the relative wage, w=w?
(h) How much food and clothing is consumed in each country?
(i) How much of food and clothing each country exports and imports?