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The maximum theorem provides conditions for the continuity of an optimized function and the set of its maximizers with respect to its parameters. The statement was first proven by Claude Berge in 1959. [1] The theorem is primarily used in mathematical economics and optimal control.
However, there is no hard and fast definition as to what is classified as "long" or "short" and mostly relies on the economic perspective being taken. Marshall's original introduction of long-run and short-run economics reflected the 'long-period method' that was a common analysis used by classical political economists.
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] It is often represented as a curve in a graph with quantities of two inputs, typically physical capital and labor , plotted on the axes.
The law of diminishing returns is a fundamental principle of both micro and macro economics and it plays a central role in production theory. [ 5 ] The concept of diminishing returns can be explained by considering other theories such as the concept of exponential growth . [ 6 ]
The theory entails that there is a limit to how much one factor can be substituted for another. When production reaches a point where substitution between the factors becomes impossible (MP LK), the isoquant becomes positively sloping. No rational entrepreneur will operate at a point outside the ridge lines (Region of Economic Nonsense). [1]
Supply-side economics is a school of macroeconomic thought that argues that overall economic well-being is maximized by lowering the barriers to producing goods and services (the "Supply Side" of the economy). By lowering such barriers, consumers are thought to benefit from a greater supply of goods and services at lower prices.
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The total cost curve, if non-linear, can represent increasing and diminishing marginal returns.. The short-run total cost (SRTC) and long-run total cost (LRTC) curves are increasing in the quantity of output produced because producing more output requires more labor usage in both the short and long runs, and because in the long run producing more output involves using more of the physical ...