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Yes, they do.
The PPF is bowed outwards (concave to the origin) as tradeoffs between the production of any two goods are constant.
Assumptions to determine the PPC is:only 2 goods will be illustratedthe amount of resources is fixedstate of technology is constant
other names for production possibility curve are: production possibility boundary production possibility frontier transformation curve.
Because when one produces one product, the opportunity cost of the other product increases i.e. the concave represents the increasing opportunity cost with the production of a good.