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What is the relationship between opportunity costs and the production possibility frontier of a nation? How does the production possibility frontier look under constant opportunity

What is the relationship between opportunity costs and the production possibility frontier of a nation? How does the production possibility frontier look under constant opportunity costs? How does the frontier look under the assumption of diminishing returns to the variable factor? Why does it have that shape? What is the relationship between the opportunity cost of an exported commodity and the relative price of that commodity in each of these two situations before trade? What change happens when trade opens up? Explain using a visualized graphical representation?

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