Long-run Cost Curve
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{{more references, date=September 2010 In
economics Economics () is a behavioral science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and interac ...
, a cost function represents the minimum cost of producing a quantity of some good. The long-run cost curve is a cost function that models this minimum cost over time, meaning inputs are not fixed. Using the long-run cost curve, firms can scale their means of production to reduce the costs of producing the good.Fuss M.A. (1987) Production and Cost Functions. In: Palgrave Macmillan (eds) The New Palgrave Dictionary of Economics. Palgrave Macmillan, London There are three principal cost functions (or 'curves') used in microeconomic analysis: * Long-run total cost (LRTC) is the cost function that represents the total cost of production for all goods produced. * Long-run average cost (LRAC) is the cost function that represents the average cost per unit of producing some good. *
Long-run marginal cost In economics, a cost curve is a graph of the costs of production as a function of total quantity produced. In a free market economy, productively efficient firms optimize their production process by minimizing cost consistent with each possible ...
(LRMC) is the cost function that represents the cost of producing one more unit of some good. The idealized "long run" for a firm refers to the absence of time-based restrictions on what inputs (such as
factors of production In economics, factors of production, resources, or inputs are what is used in the production process to produce output—that is, goods and services. The utilised amounts of the various inputs determine the quantity of output according to the rela ...
) a firm can employ in its production technology. For example, a firm cannot build an additional factory in the short run, but this restriction does not apply in the long run. Because forecasting introduces complexity, firms typically assume that the long-run costs are based on the technology,
information Information is an Abstraction, abstract concept that refers to something which has the power Communication, to inform. At the most fundamental level, it pertains to the Interpretation (philosophy), interpretation (perhaps Interpretation (log ...
, and prices that the firm faces currently. The long-run cost curve does not try to anticipate changes in the firm, the technology, or the industry. It only reflects how costs would be different if there were no constraints on changing the inputs in the current period. An ideal cost curve assumes technical efficiency because a firm always has an incentive to be as technically efficient as possible. Firms have a variety of methods of using various amounts of inputs, and they select the lowest total cost method for any given amount of output (quantity produced). For example, if a
micro-enterprise A micro-enterprise (or microenterprise) is generally defined as a small business employing nine people or fewer, and having a balance sheet or turnover less than a certain amount (e.g. euro, €2 million or Philippine peso, PhP 3 million). The ter ...
wanted to make a few pins, the cheapest way to do so might be to hire a jack-of-all-trades, buy a little scrap metal, and have him work on it at home. However, if a firm wanted to produce thousands of pins, the lowest total cost might be achieved by renting a factory, buying specialized equipment, and hiring an assembly line of factory workers to perform specialized actions at each stage of producing the pins. In the short run, the firm might not have time to rent a factory, buy specialized tools, and hire factory workers. In that case, the firm would not be able to achieve short-run minimum costs, but the long-run costs would be much less. The increase in choices about how to produce in the long run means that long-run costs are equal to or less than short run costs,
ceteris paribus ' (also spelled ') (Classical ) is a Latin phrase, meaning "other things equal"; some other English translations of the phrase are "all other things being equal", "other things held constant", "all else unchanged", and "all else being equal". ...
. The term
curves A curve is a geometrical object in mathematics. Curve(s) may also refer to: Arts, entertainment, and media Music * Curve (band), an English alternative rock music group * Curve (album), ''Curve'' (album), a 2012 album by Our Lady Peace * Curve ( ...
does not necessarily mean the cost function has any
curvature In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane. If a curve or su ...
. However, many economic models assume that cost curves are
differentiable In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non- vertical tangent line at each interior point in ...
so that the LRMC is well-defined. Traditionally, cost curves have quantity on the horizontal axis of the graph and cost on the vertical axis.


See also

*
Socially optimal firm size Social organisms, including human(s), live collectively in interacting populations. This interaction is considered social whether they are aware of it or not, and whether the exchange is voluntary or not. Etymology The word "social" derives fro ...


References

Costs Economics curves