In your answer to this question, use a diagram and start from a no-trade point like S0 with a no-trade price ratio of 2 W/C. Now trade is opened and the country can trade whatever it wants at an international price ratio of 1 W/C. (In your answers, you will need to picture additional community indifference curves that exist but are not shown explicitly.
a. Show that the country can gain from trade even if the country does not change its production point. (Production stays at point S0.) (The price line with slope of 1 will go through point S0 but will not be tangent to the production-possibility curve.)
b. Show that the country can gain even more from trade if it also adjusts the production point to its optimal position (given the price ratio of 1). What happens to the volume of trade as the country's position shifts from that shown in part a to that shown in part b?