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In microeconomics, a production–possibility frontier (PPF), production possibility curve (PPC), or production possibility boundary (PPB) is a graphical representation showing all the possible options of output for two that can be produced using all factors of production, where the given resources are fully and efficiently utilized per unit time.
The production possibilities frontier (PPF) for guns versus butter. Points like X that are outside the PPF are impossible to achieve. Points such as B, C, and D illustrate the trade-off between guns and butter: at these levels of production, producing more of one requires producing less of the other. Points located along the PPF curve represent ...
A diagram showing the production possibilities frontier (PPF) curve for "manufacturing" and "agriculture". Point "A" lies below the curve, denoting underutilized production capacity. Points "B", "C", and "D" lie on the curve, denoting efficient utilization of production.
MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities.
Figure 6: Production possibilities set in the Robinson Crusoe economy with two commodities. The boundary of the production possibilities set is known as the production-possibility frontier (PPF). [9] This curve measures the feasible outputs that Crusoe can produce, with a fixed technological constraint and given amount of resources.
The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period.
If it needs the same amount of labour to run at half capacity then the production vector (–1,–5,4,0) would also be operationally possible. The set of all operationally possible production vectors is the mill's production set. If y is a production vector and p is the economy's price vector, then p·y is the value of net
A curve connecting the tangency points is called the expansion path because it shows how the input usages expand as the chosen level of output expands. In economics , an expansion path (also called a scale line [ 1 ] ) is a path connecting optimal input combinations as the scale of production expands. [ 2 ]