國際貿易(比較利益) - 經濟

a country(Home)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 fixed in the short run. Each food worker
produces 6 units of food and each clothing worker produces 3 of clothing.
Workers own the output they produce and can trade with another. All
workers share the same prefereneces over food and clothing represented
by the utility function.
U(Dc,DF)=(Dc^1/3)(DF^2/3)

there also exists another country (Foreign) that looks surprising like the
Home country except that there are 600 food workers and 300 clothing workers
in this country. These workers have different(lower) productivity level: 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.

now assume that all workers belong to represented"familites"each containing
2 food workers and 1 clothing workers.

Question:
1.describe how the consumption pattern(the number of units food and
and clothing consumed) of the "familites" change between autarky and the
trade equilibrium. Are the "familites" in both countries unambiguously
better-off?

我想請問，上面題目是指，現在以"familites"為一個單位嗎，而這一個單位，可以
生產 2 food and 1 clothing嗎?那這樣的話。那對於Home的clothing的相對價格就為
6*2/3*1=4。這樣想對嗎??

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