The production possibilities frontier is the boundary between the combinations of goods and services that given the available factors of production and the state of technology.

can be produced and the combinations that cannot be produced

Explanation:

A production possibility frontier is a curve that shows the various combinations of amounts of the two goods that can be produced within available resources and technology.

Thus it shows the boundary between the combinations which can be produced or not.

Example -An economy which produces only the DVDs and the cell phones. All labor, land, capital, and the entrepreneurship which is available are used to produce the two goods.  PPF of such economy shows limits to the production with available resources and the technology.

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d - failures.

the only attempted british colony in north america before 1600 was roanoke, virginia, which was a total failure. england claimed several areas, including newfoundland, but made no sustainable attempts to colonize them before 1600.