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A production-possibilities frontier (PPF) can be used to determine comparative and absolute advantages between two nations, which will determine who trades what and if a nation should exploit an advantage. Typically the two PPF's (not necessarily curves) are plotted along the same graph. See the graph in the link below for an example of two nations trading fish and coconuts.

PPF's determine what different combinations of products will maximize efficiency (production on the line is optimal; inside the line is inefficient and outside the line is unattainable). They cannot, however, determine how trade might be maximized. It may not be in the interest of one or both nations to simply maximize trade; rather, the nations need to decide what to trade in what quantity. A PPF of each nation will help make the optimal decision that is mutually beneficial given both parties are properly self-interested.

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