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71-654: The Arkansas Valley League is a high school athletic conference for several rural high schools along the Arkansas River Valley in southeastern Colorado . At the time of writing (8 February 2024) the eight schools in the League were: Some of the schools enter combined teams. For example: Earlier, the league includes these schools: High school In the United States , most local secondary education systems have separate middle schools and high schools . In

142-660: A high school (abbreviated as HS or H.S. ), can also be called senior high school . In some countries there are two phases to secondary education (ISCED 2) and (ISCED 3), here the junior high school , intermediate school, lower secondary school, or middle school occurs between the primary school (ISCED 1) and high school. Economy of scale 1800s: Martineau · Tocqueville  ·  Marx ·  Spencer · Le Bon · Ward · Pareto ·  Tönnies · Veblen ·  Simmel · Durkheim ·  Addams ·  Mead · Weber ·  Du Bois ·  Mannheim · Elias In microeconomics , economies of scale are

213-460: A company gains an added benefit by expanding its size. These economies are due to the presence of some resource or competence that is not fully utilized, or to the existence of specific market positions that create a differential advantage in expanding the size of the firms. That growth economies disappear once the scale size expansion process is completed. For example, a company that owns a supermarket chain benefits from an economy of growth if, opening

284-608: A different education system and priorities. Schools need to accommodate students, staff, storage, mechanical and electrical systems, support staff, ancillary staff and administration. The number of rooms required can be determined from the predicted roll of the school and the area needed. According to standards used in the United Kingdom, a general classroom for 30 students needs to be 55 m , or more generously 62 m . A general art room for 30 students needs to be 83 m , but 104 m for 3D textile work. A drama studio or

355-591: A differentiated demand with respect to the quality of the product, and assistance before and after the sale. Very different organizational forms can therefore co-exist in the same sector of activity, even in the presence of economies of scale, such as, for example, flexible production on a large scale, small-scale flexible production, mass production, industrial production based on rigid technologies associated with flexible organizational systems and traditional artisan production. The considerations regarding economies of scale are therefore important, but not sufficient to explain

426-421: A firm's costs, returns to scale describe the relationship between inputs and outputs in a long-run (all inputs variable) production function. A production function has constant returns to scale if increasing all inputs by some proportion results in output increasing by that same proportion. Returns are decreasing if, say, doubling inputs results in less than double the output, and increasing if more than double

497-628: A greater variety of classes, or sponsoring a greater number of extra-curricular activities . (Some of these benefits can also be achieved through smaller but specialized schools, such as a dedicated special school for students with disabilities or a magnet school for students with a particular subject-matter interest.) In terms of structure, organization, and relationships, larger schools tend to be more hierarchical and bureaucratic , with fewer and weaker personal connections and more rigidly defined, unvarying roles for all staff. Teachers find that large schools result in more information to process in

568-427: A more efficient division of labour. The economies of division of labour derive from the increase in production speed, from the possibility of using specialized personnel and adopting more efficient techniques. An increase in the division of labour inevitably leads to changes in the quality of inputs and outputs. Many administrative and organizational activities are mostly cognitive and, therefore, largely independent of

639-407: A new supermarket, it gets an increase in the price of the land it owns around the new supermarket. The sale of these lands to economic operators, who wish to open shops near the supermarket, allows the company in question to make a profit, making a profit on the revaluation of the value of building land. Overall costs of capital projects are known to be subject to economies of scale. A crude estimate

710-496: A product X is lower when a single firm instead of two separate firms produce it. See Economies of scope#Economics . Some of the economies of scale recognized in engineering have a physical basis, such as the square–cube law , by which the surface of a vessel increases by the square of the dimensions while the volume increases by the cube. This law has a direct effect on the capital cost of such things as buildings, factories, pipelines, ships and airplanes. In structural engineering,

781-547: A relationship somewhat similar to the square–cube law. In some productions, an increase in the size of the plant reduces the average variable cost, thanks to the energy savings resulting from the lower dispersion of heat. Economies of increased dimension are often misinterpreted because of the confusion between indivisibility and three-dimensionality of space. This confusion arises from the fact that three-dimensional production elements, such as pipes and ovens, once installed and operating, are always technically indivisible. However,

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852-461: A result, numerous studies have indicated that the procurement volume must be sufficiently high to provide sufficient profits to attract enough suppliers, and provide buyers with enough savings to cover their additional costs. However, Shalev and Asbjornse found, in their research based on 139 reverse auctions conducted in the public sector by public sector buyers, that the higher auction volume, or economies of scale, did not lead to better success of

923-422: A secondary school may have a canteen, serving a set of foods to students, and storage where the equipment of a school is kept. Government accountants having read the advice then publish minimum guidelines on schools. These enable environmental modelling and establishing building costs. Future design plans are audited to ensure that these standards are met but not exceeded. Government ministries continue to press for

994-561: A single basketball court could serve a school with 200 students just as well as a school with 500 students, so construction and maintenance costs, on a per-student basis, can be lower for larger schools. However, cost savings from larger schools have generally not materialized, as larger schools require more administrative support staff, and rural areas see the potential savings offset by increased transportation costs. Larger schools can also support more specialization, such as splitting students into advanced, average, and basic tracks , offering

1065-417: A specialist science laboratory for 30 needs to be 90 m . Examples are given on how this can be configured for a 1,200 place secondary (practical specialism). and 1,850 place secondary school. The ideal size for a typical comprehensive high school is large enough to offer a variety of classes, but small enough that students develop a sense of community. Research has suggested that academic achievement

1136-733: A unit of capacity of many types of equipment, such as electric motors, centrifugal pumps, diesel and gasoline engines, decreases as size increases. Also, the efficiency increases with size. Operating crew size for ships, airplanes, trains, etc., does not increase in direct proportion to capacity. (Operating crew consists of pilots, co-pilots, navigators, etc. and does not include passenger service personnel.) Many aircraft models were significantly lengthened or "stretched" to increase payload. Many manufacturing facilities, especially those making bulk materials like chemicals, refined petroleum products, cement and paper, have labor requirements that are not greatly influenced by changes in plant capacity. This

1207-440: A variety of organizational and business situations and at various levels, such as a production, plant or an entire enterprise. When average costs start falling as output increases, then economies of scale occur. Some economies of scale, such as capital cost of manufacturing facilities and friction loss of transportation and industrial equipment, have a physical or engineering basis . The economic concept dates back to Adam Smith and

1278-445: Is a correlating relationship between a firm's total sales and underlying efficiency. Firms with higher productivity will always outperform a firm with lower productivity which will lead to lower sales. Through trade liberalization, organizations are able to drop their trade costs due to export growth. However, trade liberalization does not account for any tariff reduction or shipping logistics improvement. However, total economies of scale

1349-627: Is a historically contingent fact, and not essential to the nature of such enterprises. In the case of agriculture, for example, Marx calls attention to the sophistical nature of the arguments used to justify the system of concentrated ownership of land: Instead of concentrated private ownership of land, Marx recommends that economies of scale should instead be realized by associations : Alfred Marshall notes that Antoine Augustin Cournot and others have considered "the internal economies [...] apparently without noticing that their premises lead inevitably to

1420-477: Is based on the exporters individual frequency and size. So large-scale companies are more likely to have a lower cost per unit as opposed to small-scale companies. Likewise, high trade frequency companies are able to reduce their overall cost attributed per unit when compared to those of low-trade frequency companies. Economies of scale is related to and can easily be confused with the theoretical economic notion of returns to scale. Where economies of scale refer to

1491-411: Is because labor requirements of automated processes tend to be based on the complexity of the operation rather than production rate, and many manufacturing facilities have nearly the same basic number of processing steps and pieces of equipment, regardless of production capacity. Karl Marx noted that large scale manufacturing allowed economical use of products that would otherwise be waste. Marx cited

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1562-550: Is best when there are about 150 to 250 students in each grade level, and that above a total school size of 2,000 for a secondary school, academic achievement and the sense of school community decline substantially. Arguments in favor of smaller schools include having a shared experience of school (e.g., everyone takes the same classes, because the school is too small to offer alternatives), higher average academic achievement, and lower inequality . Arguments in favor of larger schools tend to focus on economy of scale . For example,

1633-424: Is expanded, including the aspects concerning the development of knowledge and the organization of transactions, it is possible to conclude that economies of scale do not always lead to monopoly. In fact, the competitive advantages deriving from the development of the firm's capabilities and from the management of transactions with suppliers and customers can counterbalance those provided by the scale, thus counteracting

1704-442: Is one where the costs of production fall when the number of firms in the industry drops, but the remaining firms increase their production to match previous levels. Conversely, an industry exhibits an external economy of scale when costs drop due to the introduction of more firms, thus allowing for more efficient use of specialized services and machinery. Economies of scale exist whenever the total cost of producing two quantities of

1775-505: Is possible within a particular country—for example, it would not be efficient for Liechtenstein to have its own carmaker if they only sold to their local market. A lone carmaker may be profitable, but even more so if they exported cars to global markets in addition to selling to the local market. Economies of scale also play a role in a " natural monopoly ". There is a distinction between two types of economies of scale: internal and external. An industry that exhibits an internal economy of scale

1846-608: Is saturating the regional market, thus having to ship products uneconomic distances. Other limits include using energy less efficiently or having a higher defect rate. Large producers are usually efficient at long runs of a product grade (a commodity) and find it costly to switch grades frequently. They will, therefore, avoid specialty grades even though they have higher margins. Often smaller (usually older) manufacturing facilities remain viable by changing from commodity-grade production to specialty products. Economies of scale must be distinguished from economies stemming from an increase in

1917-433: Is that if the capital cost for a given sized piece of equipment is known, changing the size will change the capital cost by the 0.6 power of the capacity ratio (the point six to the power rule ). In estimating capital cost, it typically requires an insignificant amount of labor, and possibly not much more in materials, to install a larger capacity electrical wire or pipe having significantly greater capacity. The cost of

1988-520: The ISCED 2014 education scale, levels 2 and 3 correspond to secondary education which are as follows: Within the English-speaking world, there are three widely used systems to describe the age of the child. The first is the 'equivalent ages'; then countries that base their education systems on the 'English model' use one of two methods to identify the year group, while countries that base their systems on

2059-605: The United Kingdom , most state schools and privately funded schools accommodate pupils between the ages of 11 and 16 or between 11 and 18; some UK private schools, i.e. public schools , admit pupils between the ages of 13 and 18. Secondary schools follow on from primary schools and prepare for vocational or tertiary education . In high and middle income countries, attendance is usually compulsory for students at least until age 16. The organisations, buildings, and terminology are more or less unique in each country. In

2130-415: The short-run average total cost (SRATC) curve down and to the right. Economies of scale is a concept that may explain patterns in international trade or in the number of firms in a given market. The exploitation of economies of scale helps explain why companies grow large in some industries. It is also a justification for free trade policies, since some economies of scale may require a larger market than

2201-417: The "physical" point of view of the returns to scale. Furthermore, supply contracts entail fixed costs which lead to decreasing average costs if the scale of production increases. This is of important utility in the study of corporate finance . Economies of productive capacity balancing derives from the possibility that a larger scale of production involves a more efficient use of the production capacities of

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2272-516: The 'American K–12 model' refer to their year groups as 'grades'. The Irish model is structured similarly to the English model, but differs significantly in terms of labels. This terminology extends into the research literature. Below is a comparison of some countries: Schools exist within a strict legal framework where they may be answerable to their government through local authorities and their stakeholders. In England (but necessarily in other parts of

2343-409: The 'minimum' space and cost standards to be reduced. The UK government published this downwardly revised space formula in 2014. It said the floor area should be 1050 m (+ 350 m if there is a sixth form) + 6.3 m /pupil place for 11- to 16-year-olds + 7 m /pupil place for post-16s. The external finishes were to be downgraded to meet a build cost of £1113/m . A secondary school locally may be called

2414-731: The United Kingdom) there are six general types of state-funded schools running in parallel to the private sector. The state takes an interest in safeguarding issues in all schools. All state-funded schools in England are legally required to have a website where they must publish details of their governance, finance, curriculum intent and staff and pupil protection policies to comply with The School Information (England) (Amendment) Regulations 2012 and 2016 . Ofsted monitors these. School building design does not happen in isolation. The building or school campus needs to accommodate: Each country will have

2485-511: The advantages of external economies linked to an increase in the production of an entire sector of activity. However, "those economies which are external from the point of view of the individual firm, but internal as regards the industry in its aggregate, constitute precisely the class which is most seldom to be met with." "In any case - Sraffa notes – in so far as external economies of the kind in question exist, they are not linked to be called forth by small increases in production," as required by

2556-564: The assumption of free competition to address the study of firms that have their own particular market. This stimulated a whole series of studies on the cases of imperfect competition in Cambridge. However, in the succeeding years Sraffa followed a different path of research that brought him to write and publish his main work Production of commodities by means of commodities ( Sraffa 1966 ). In this book, Sraffa determines relative prices assuming no changes in output, so that no question arises as to

2627-431: The auction. They found that auction volume did not correlate with competition, nor with the number of bidders, suggesting that auction volume does not promote additional competition. They noted, however, that their data included a wide range of products, and the degree of competition in each market varied significantly, and offer that further research on this issue should be conducted to determine whether these findings remain

2698-431: The average cost for all firms as opposed to internal economies of scale which only allows benefits to the individual firm. Advantages that arise from external economies of scale include; Firms are able to lower their average costs by buying their inputs required for the production process in bulk or from special wholesalers. Firms might be able to lower their average costs by improving their management structure within

2769-434: The base of dynamic economies of scale, associated with the process of growth of the scale dimension and not to the dimension of scale per se. Learning by doing implies improvements in the ability to perform and promotes the introduction of incremental innovations with a progressive lowering of average costs. Learning economies are directly proportional to the cumulative production ( experience curve ). Growth economies emerge if

2840-508: The capitalist system is therefore characterized by two tendencies, connected to economies of scale: towards a growing concentration and towards economic crises due to overproduction. In his 1844 Economic and Philosophic Manuscripts , Karl Marx observes that economies of scale have historically been associated with an increasing concentration of private wealth and have been used to justify such concentration. Marx points out that concentrated private ownership of large-scale economic enterprises

2911-452: The chemical industry as an example, which today along with petrochemicals, remains highly dependent on turning various residual reactant streams into salable products. In the pulp and paper industry, it is economical to burn bark and fine wood particles to produce process steam and to recover the spent pulping chemicals for conversion back to a usable form. Large and more productive firms typically generate enough net revenues abroad to cover

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2982-425: The conclusion that, whatever firm first gets a good start will obtain a monopoly of the whole business of its trade … ". Marshall believes that there are factors that limit this trend toward monopoly, and in particular: Piero Sraffa observes that Marshall, in order to justify the operation of the law of increasing returns without it coming into conflict with the hypothesis of free competition, tended to highlight

3053-447: The cost advantages that enterprises obtain due to their scale of operation, and are typically measured by the amount of output produced per unit of time . A decrease in cost per unit of output enables an increase in scale that is, increased production with lowered cost. At the basis of economies of scale, there may be technical, statistical, organizational or related factors to the degree of market control. Economies of scale arise in

3124-462: The economies of scale due to the increase in size do not depend on indivisibility but exclusively on the three-dimensionality of space. Indeed, indivisibility only entails the existence of economies of scale produced by the balancing of productive capacities, considered above; or of increasing returns in the utilisation of a single plant, due to its more efficient use as the quantity produced increases. However, this latter phenomenon has nothing to do with

3195-434: The economies of scale which, by definition, are linked to the use of a larger plant. At the base of economies of scale there are also returns to scale linked to statistical factors. In fact, the greater of the number of resources involved, the smaller, in proportion, is the quantity of reserves necessary to cope with unforeseen contingencies (for instance, machine spare parts, inventories, circulating capital, etc.). One of

3266-442: The education has to fulfill the needs of: students, teachers, non-teaching support staff, administrators and the community. It has to meet general government building guidelines, health requirements, minimal functional requirements for classrooms, toilets and showers, electricity and services, preparation and storage of textbooks and basic teaching aids. An optimum secondary school will meet the minimum conditions and will have: Also,

3337-422: The factors underlying the ever-increasing concentration of capital. Marx observes that in the capitalist system the technical conditions of the work process are continuously revolutionized in order to increase the surplus by improving the productive force of work. According to Marx, with the cooperation of many workers brings about an economy in the use of the means of production and an increase in productivity due to

3408-410: The firm increase, the notions of increasing returns to scale and economies of scale can be considered equivalent. However, if input prices vary in relation to their quantities purchased by the company, it is necessary to distinguish between returns to scale and economies of scale. The concept of economies of scale is more general than that of returns to scale since it includes the possibility of changes in

3479-518: The firm is a perfect competitor in all input markets, and thus the per-unit prices of all its inputs are unaffected by how much of the inputs the firm purchases, then it can be shown that at a particular level of output, the firm has economies of scale if and only if it has increasing returns to scale, has diseconomies of scale if and only if it has decreasing returns to scale, and has neither economies nor diseconomies of scale if it has constant returns to scale. In this case, with perfect competition in

3550-454: The firm is so big in one or more input markets that increasing its purchases of an input drives up the input's per-unit cost, then the firm could have diseconomies of scale in that range of output levels. Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range. In essence, returns to scale refer to

3621-435: The fixed costs associated with exporting. However, in the event of trade liberalization, resources will have to be reallocated toward the more productive firm, which raises the average productivity within the industry. Firms differ in their labor productivity and the quality of their products, so more efficient firms are more likely to generate more net income abroad and thus become exporters of their goods or services. There

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3692-604: The founder of political economy as an autonomous discipline. John Stuart Mill , in Chapter IX of the First Book of his Principles, referring to the work of Charles Babbage (On the economics of machines and manufactories), widely analyses the relationships between increasing returns and scale of production all inside the production unit. In Das Kapital (1867), Karl Marx , referring to Charles Babbage , extensively analyzed economies of scale and concludes that they are one of

3763-438: The idea of obtaining larger production returns through the use of division of labor. Diseconomies of scale are the opposite. Economies of scale often have limits, such as passing the optimum design point where costs per additional unit begin to increase. Common limits include exceeding the nearby raw material supply, such as wood in the lumber, pulp and paper industry . A common limit for a low cost per unit weight commodities

3834-479: The increase in the division of labour. Furthermore, the increase in the size of the machinery allows significant savings in construction, installation and operation costs. The tendency to exploit economies of scale entails a continuous increase in the volume of production which, in turn, requires a constant expansion of the size of the market. However, if the market does not expand at the same rate as production increases, overproduction crises can occur. According to Marx

3905-419: The individual phases of the production process. If the inputs are indivisible and complementary, a small scale may be subject to idle times or to the underutilization of the productive capacity of some sub-processes. A higher production scale can make the different production capacities compatible. The reduction in machinery idle times is crucial in the case of a high cost of machinery. A larger scale allows for

3976-410: The larger environment (e.g., announcements about 100 programs instead of just 10) and that as individuals they form fewer relationships with teachers outside of their primary subject area. Smaller schools have less social isolation and more engagement. These effects cannot be entirely overcome through implementation of a house system or " school within a school " programs. The building providing

4047-424: The marginalist theory of price. Sraffa points out that, in the equilibrium theory of the individual industries, the presence of external economies cannot play an important role because this theory is based on marginal changes in the quantities produced. Sraffa concludes that, if the hypothesis of perfect competition is maintained, economies of scale should be excluded. He then suggests the possibility of abandoning

4118-411: The output market the long-run equilibrium will involve all firms operating at the minimum point of their long-run average cost curves (i.e., at the borderline between economies and diseconomies of scale). If, however, the firm is not a perfect competitor in the input markets, then the above conclusions are modified. For example, if there are increasing returns to scale in some range of output levels, but

4189-475: The output. If a mathematical function is used to represent the production function, and if that production function is homogeneous , returns to scale are represented by the degree of homogeneity of the function. Homogeneous production functions with constant returns to scale are first degree homogeneous, increasing returns to scale are represented by degrees of homogeneity greater than one, and decreasing returns to scale by degrees of homogeneity less than one. If

4260-405: The presence of significant economies of scale. This contradiction, between the empirical evidence and the logical incompatibility between economies of scale and competition, has been called the 'Cournot dilemma'. As Mario Morroni observes, Cournot's dilemma appears to be unsolvable if we only consider the effects of economies of scale on the dimension of scale. If, on the other hand, the analysis

4331-450: The price of inputs when the quantity purchased of inputs varies with changes in the scale of production. The literature assumed that due to the competitive nature of reverse auctions , and in order to compensate for lower prices and lower margins, suppliers seek higher volumes to maintain or increase the total revenue. Buyers, in turn, benefit from the lower transaction costs and economies of scale that result from larger volumes. In part as

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4402-569: The production of a given plant. When a plant is used below its optimal production capacity , increases in its degree of utilization bring about decreases in the total average cost of production. Nicholas Georgescu-Roegen (1966) and Nicholas Kaldor (1972) both argue that these economies should not be treated as economies of scale. The simple meaning of economies of scale is doing things more efficiently with increasing size. Common sources of economies of scale are purchasing (bulk buying of materials through long-term contracts), managerial (increasing

4473-400: The reasons firms appear is to reduce transaction costs . A larger scale generally determines greater bargaining power over input prices and therefore benefits from pecuniary economies in terms of purchasing raw materials and intermediate goods compared to companies that make orders for smaller amounts. In this case, we speak of pecuniary economies, to highlight the fact that nothing changes from

4544-441: The same when purchasing the same product for both small and high volumes. Keeping competitive factors constant, increasing auction volume may further increase competition. The first systematic analysis of the advantages of the division of labour capable of generating economies of scale, both in a static and dynamic sense, was that contained in the famous First Book of Wealth of Nations (1776) by Adam Smith , generally considered

4615-426: The scale of production. When the size of the company and the division of labour increase, there are a number of advantages due to the possibility of making organizational management more effective and perfecting accounting and control techniques. Furthermore, the procedures and routines that turned out to be the best can be reproduced by managers at different times and places. Learning and growth economies are at

4686-427: The size of the company and the market structure. It is also necessary to take into account the factors linked to the development of capabilities and the management of transaction costs. External economies of scale tend to be more prevalent than internal economies of scale. Through the external economies of scale, the entry of new firms benefits all existing competitors as it creates greater competition and also reduces

4757-446: The specialization of managers), financial (obtaining lower- interest charges when borrowing from banks and having access to a greater range of financial instruments), marketing (spreading the cost of advertising over a greater range of output in media markets ), and technological (taking advantage of returns to scale in the production function). Each of these factors reduces the long run average costs (LRAC) of production by shifting

4828-449: The strength of beams increases with the cube of the thickness. Drag loss of vehicles like aircraft or ships generally increases less than proportional with increasing cargo volume, although the physical details can be quite complicated. Therefore, making them larger usually results in less fuel consumption per ton of cargo at a given speed. Heat loss from industrial processes vary per unit of volume for pipes, tanks and other vessels in

4899-399: The tendency towards a monopoly inherent in economies of scale. In other words, the heterogeneity of the organizational forms and of the size of the companies operating in a sector of activity can be determined by factors regarding the quality of the products, the production flexibility, the contractual methods, the learning opportunities, the heterogeneity of preferences of customers who express

4970-417: The variation in the relationship between inputs and output . This relationship is therefore expressed in "physical" terms. But when talking about economies of scale, the relation taken into consideration is that between the average production cost and the dimension of scale. Economies of scale therefore are affected by variations in input prices. If input prices remain the same as their quantities purchased by

5041-556: The variation or constancy of returns. In 1947, DuPont engineer Roger Williams, Jr. (1930-2005) published a rule of thumb that costs of chemical process are roughly proportional to the tonnage in power ~0.6 . In the following decades it became widely adopted other engineering industries and terrestrial mining, sometimes (e. g., in electrical power generation) with modified exponential scaling factors. It has been noted that in many industrial sectors there are numerous companies with different sizes and organizational structures, despite

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