In order to conjecture the circumstances in these two countries under autarky
(when there is no trade), consider the following hypothetical scenario based on
Ricardian model. Assume throughout that those two countries (Argentina and
El Salvador) are the only two countries in the world, at least for purposes of
trade. There are two goods: Hammers and Widgets. Consumers in both
countries always spend half of their income on Hammers and half of their
income on Widgets. The only factor of production is labour. Each Argentinian
worker can produce 4 Hammers or 2 Widget per unit of time. Each El
Salvadoran worker can produce 2 Hammers or 2 Widgets per unit of time.
There are 50 workers in Argentina and 75 workers in El Salvador. You need to
provide conditions in each country by stating:
a) Derive the relative demand curve relating the relative demand for Widgets
to the relative price of Widgets. Do this algebraically, and then show what
the curve looks like in a diagram (put the relative price of Widgets on the
vertical axis and the relative quantity of Widgets demanded on the
horizontal axis).
b) Derive the world relative supply curve of Widgets (put the relative price of
Widgets on the vertical axis and the relative quantity of Widgets supplied
on the horizontal axis).
c) Put in the same figure the relative demand curve for Widgets that you found
in part (a) and the world relative supply curve of Widgets that you found in
part (b). Determine the equilibrium relative price of Widgets and the
equilibrium relative quantity of Widgets under free trade.
d) Under free trade, which country produces which good(s)? How many
units?
e) Who gains from trade? Who loses from trade? State workers’ stance
towards free trade in each country, i.e., do they support or oppose free
trade?
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