In economics, the

**production possibility frontier**(also called “transformation curve”) is a graph that depicts the opportunity cost between any two items produced. It shows the maximum obtainable amount of one commodity for any given amount of another commodity. The concept is used in macroeconomics to show the production possibilities available to a nation or economy, and also in microeconomics to show the options open to an individual firm. All points on a production possibilities curve are points of maximum efficiency: resources are allocated such that it is impossible to increase the output of one commodity without reducing the output of the other.

*Production Possibilities Curve*

A shift from point A to point B indicates an increase in the number of computers produced. But it also implies a decrease in the amount of food produced. This decrease is the opportunity cost of producing more computers.

The two main determinants of the curve are production functions and factor endowments since they define the resources available and the most efficient combination of these resources to employ. In practice production possibility frontiers can easily be constructed from the contract curves in Edgeworth box diagrams of factor intensity.

The line describing this frontier is not straight, but is concave to the origin (that is, curved inward toward the axes). This is due to a disparity in the factor intensities of the two sectors. The concaveture reflects the higher marginal costs that become inevitable due to inefficiencies in the production of each good as output approaches zero (that is, at either extreme of the curve). As we specialize more and more into one product, the opportunity costs of producing that product increase.

*Production Possibilities Curve*

If the factor intensity ratios in the two sectors were constant at all points on the production possibilities curve, the curve would be linear and the opportunity cost would remain the same, no matter what mix of outputs were produced.

The slope of the production possibilities curve at any given point is called the **marginal rate of transformation**. It describes numerically the rate at which one good can be transformed into the other. It is also called the “marginal opportunity cost” of a commodity, that is, it is the opportunity cost of X in terms of Y at the margin.

*Marginal Rate of Transformation*

The marginal rate of transformation can be expressed in terms of either commodity. The marginal opportunity costs of computers in terms of food is simply the reciprocal of the marginal opportunity cost of food in terms of computers.

## See also

- production, costs, and pricing
- production theory basics
- production functions

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