Price Elasticity in Air Travel

Introduction:

Elasticity is define as the "quality sth has being able to stretch and return to its original size and shape". (Oxford advanced learners dictionary 6th release). In Physics elasticity is defined as "the house of a substance that allows it to improve its length, volume, or shape in direct reaction to a push effecting such a change and to recover its original form upon removing the power. " (dictionaryreference. com).

Suppose that your company gives you to work extra time more after your contracted time for extra pay at the end of the month, the quantity of extra cash you will earn by the end of the month will depend on how a lot more extra hours you are able to work. Then how reactive you are to this offer can be seen as elasticity.

Therefore I will establish elasticity as the way of measuring amount of responsiveness of any adjustable to extra stimulus.

From my example above elasticity can be calculated as

Em = percentage of extra money you earn/ratio of extra time worked.

The concept of elasticity can be used to gauge the rate or the exact amount of any change. In economics elasticity is employed to gauge the magnitude of responsiveness of a variable to a big change in its determinants (sloman) such as (demand and supply) of goods and services.

For the goal of this essay will be examining the concept of elasticity of demand and supply in the airline industry.

Types of Elasticity

  • Price or own price Elasticity of demand
  • Income elasticity of demand
  • Cross elasticity
  • Price or own price elasticity of demand

It is the way of measuring the degree of sensitivity or responsiveness of variety demanded is to a big change in cost of something (Edgar. K. browing). Our assumption often is that demand curves have negative slopes which means the lower the purchase price the higher the quantity demanded but sometimes the amount of responsiveness vary from product to product. For instance a reduction in the price of cigarettes may have only bring about a little increase in quantity demanded whereas a supermarket decrease in the price tag on washing up water will produce a major increase in number demanded The law of demand and even Good sense tells us that whenever prices change, the quantities purchased changes too. However, by how much? Businesses have to have more exact information than this - they need to have a clear measure of the way the quantity demanded changes as a result of a cost change.

Price elasticity is computed as the percentage (or proportional or rate) of change in number demanded divided by the percentage (or proportional or rate) of change in its price.

Symbolically:

PD=%‹Q/%  p

Here denotes elasticity and  

Graphically

Elasticity measure in percentage because it allows an obvious contrast of changes in qualitatively different things which are measured in two different systems (sloman). It is the only practical way of deciding what size a change in cost or quantity, so their telephone calls a device free way of measuring.

Generally when the prices of good increases the quantity demanded lowers, thus either of the number will be negative which after department will wrap up in a negative result, because of this truth we always ignore the sign and simply concentrate on the absolute value, ignoring the sign to tell us how stretchy demand is.

The larger the elasticity of demand, the more responsive the number demanded is of elasticity.

Degrees of elasticity

Perfectly elastic

Highly elastic

Relatively elastic

Relatively inelastic

Highly inelastic

Perfectly inelastic

Elastic Demand

Elastic demand occurs when quantity demanded changes by bigger ratio than price. (Sloman) Here customer has great deal of other alternative. The value is usually higher than 1, the change in amount has a greater effect on total consumer spending than in price. For example when there is a reduction in the price of a container of cleaning up water say from 1. 00 to 50p people will buy more probably to store up, by doing this they will wrap up spending more on the product than they will do on a standard day.

An Inelastic Demand

Elasticity in flight industry

The airline industry is deeply impacted by the elasticity of demand, externalities, wage inequality, and monetary, fiscal, and federal government procedures. The elasticity of demand is based purely on market conditions, thcustomer's September 11th tragedy had a negative impact on the entire travel industry. It impacted the fiscal and economic policies, source and demand, and it created staffing problems nationwide. The pace of wage inequality is enhancing anticipated to legislation that has generated a pay increase in participating cities over the USA. The air travel industry is viewed has being unpredictable because it is based on current market conditions, and the market is always changing. goal for travel, and available substitutes. Externalities continue steadily to influence the elasticity of demand. The

Elasticity of Demand

The airline industry is an extremely unpredictable industry since it is highly dependant upon market conditions. Occasions such as inflation, terrorist problems, and the price of essential oil have greatly influenced the demand for airline tickets throughout the years. Competition constantly affects the price tag on airline tickets because it gives the customer other options. Substitutes that are presence is going by teach, car, or keeping away from travel whenever you can. Customers have resorted to all called substitutes during turbulent times in our current economic climate. The elasticity of demand is greatly affected by the customer's purpose for travel. Flight customers typically soar for business or pleasure. With the wave of technology, a sizable percentage of business travel has been eliminated to save spending.

Elasticity

In the air travel industry, price elasticity of demand is separated into two segments of consumers and is considered to be both flexible and inelastic. Among how stretchy demand is related to the flight industry is with regards to travel for pleasure. Pleasure holidaymakers will be influenced by the quantity of travel they do predicated on the demand increase or cut down, damaged by prices that lower with popular or prices that grow with low demand; immediately related to competition in this market (Gerardi & Shapiro, 2007). Inversely, the business enterprise traveller would connect with an inelastic demand because of this market. It has shown by demand boosts or decreases, as well as the price distribution attributed, which includes little effect on the buying power of the business enterprise person (Gerardi & Shapiro, 2007). Furthermore, Voorhees and Coppett (1981) clarify that elastic needs exist for the pleasure traveler due to demand increase increasing while prices lower and vise versa. The business traveler activities an inelastic demand due to the quantity of service demanded and number has not reduced as prices have risen. Quite simply, this travel is seen as a necessary business tool, not afflicted by price changes in the demand curve.

As we have seen, the airline industry is incredibly price stretchy. Small shifts in prices have remarkable effects on the buyer basic. Externalities, such as noises ordinances, can cause unwanted effects, driving cost

upward and threatening loss in demand scheduled to a price sensitive customer base. Since deregulation, competition in the economy have placed prices in the industry low and also have triggered airlines to drive slices in areas such as wages; adding to a growing matter of wage inequality.

Refrences:

Gerardi, K. , & Shapiro, A. (2007, April). THE CONSEQUENCES of Competition on Price Dispersion in the Flight Industry: A Panel Analysis. Working Newspaper Series (National Reserve Loan provider of Boston), 7(7), 1-46. Retrieved April 30, 2008, from Business Source Complete database.

Mankiw, N. G. (2004). Rules of economics (3rd ed. ). Chicago, IL: Thomson South-Western.

Morrison, S. , Watson, T. , & Winston, C. (1998). Fundamental Flaws of Public Regulation: THE SITUATION of Airplane Noise. Retrieved May 8, 2008, from http://www. brookings. edu/~/media/Files/rc/papers/1998/09_airplane_winston/09_airplane_winston. pdf

Voorhees, R. , & Coppett, J. (1981, Summer). New Competition for the Airlines. Vehicles Journal, 20(4), 78-85. Retrieved April 30, 2008, from Academic Search Premier databases.

The air travel industry is a private good. Mankiw (2004), says that private goods are excludable and rival goods. One needs to look out of the anti-trust regulations that tempt some to call the industry a natural monopoly; airlines still reserve the right to administer price and destination. The flight industry implies that it can be an excludable good by having the power to place prices on fares and to be able to refuse service to any person for whatever the reason why. The flight industry also implies that it is just a rival good since when someone purchases fare for a couch, it diminishes the power for another person to get a seats on the airplane. Because the air travel industry is a private good, in a competitive market place, prices, source, and demand are extremely sensitive to new insurance policies or taxes incidences placed to them.

Associated content. com viewd 18/11/10

Wordpress. comThis phenomenal upsurge in the demand for local air travel is not surprising. Airfare can be an expensive product that few people are able or are prepared to shell out the dough. Also, an average consumer may not be able to avail such product regularly. It takes time for the buyer to demand for this again.

In economics, this circumstance is being discussed by its ELASTICITY. The concept of elasticity has been referred as the responsiveness of the quantity demanded of your good or service to a change in its price, income, or cross price. This post will provide a much better understanding on this matter, specifically the price elasticity.

Analysis

Below consists of indicators that establishes the elasticity of your good/service. Domestic air travel has been utilized as a sample commodity.

Substitutes. (A lot more substitutes it offers, the higher the elasticity. ) Airlines have numerous substitutes such as land or sea transportation.

Percentage of Income. (The higher the percentage that the product's price is of the consumer's income, the higher the elasticity. ) Airfares are too expensive relative to household income.

Necessity. (Basic goods have lower elasticity. ) Flight tickets are luxury goods.

Duration. (The much longer a cost change holds, the bigger the elasticity. ) Flight fare does not change for a long period.

Breadth of Explanation. (The broader the definition, the low the elasticity. ) Local air travel travel has more specific description than typical air transportation.

1. Introduction

The reason for this analysis is to article on all or the majority of the economics and business literature working with empirically predicted demand functions for flights and to accumulate a range of fare elasticity procedures for flights and offer some judgment as to which elasticity values would be more representative of the true worth to be found in various markets in Canada.

While existing studies may include the leisure - business school divide, other important market distinctions tend to be omitted, likely as a result of data availability and quality. [3] Among the primary value added features of this research and what distinguishes it from other research, is that people develop a meta-analysis that not only provides procedures of dispersion but also identifies the quality of demand estimates based on a number of selected study characteristics. In particular, we create a means of rating top features of the studies such as focus on length of haul; business versus leisure; international versus local; the addition of income and inter-modal results; age the study; data type (time-series versus mix section) and the statistical quality of estimations (altered R-squared beliefs). By credit scoring the studies in this manner, policy makers are given with a sharper concentration to assist in judging the relevance of varied estimated elasticity prices. [4]

2. Elasticity in the Framework of FLIGHTS Demand.

Elasticity prices in economic examination provide a "products free" way of measuring the sensitivity of one variable to another, given some pre-specified useful relationship. The mostly utilized elasticity theory is that of "own-price" elasticity of demand. In economics, consumer choice theory starts with axioms of personal preferences over goods that result in utility principles. These energy functions define alternatives that generate demand functions that price elasticity prices can be derived.

"Own-price" elasticity of demand concept - airtrav_2e. gif - (1, 979 bytes)

Therefore elasticities are brief summary methods of people's choices reflecting sensitivity to relative price levels and changes in a resource-constrained environment. The normal or Marshallian demand function comes from consumers who are postulated to increase utility at the mercy of a budget constraint. As being a good's price changes, the consumer's real income (which can be used to take all goods in the decision set) changes. Furthermore the products price in accordance with other goods changes. The changes in usage brought about by these effects following a price change are called income and substitution effects respectively. Thus, elasticity values derived from the normal demand function include both income and substitution results. [5]

Own-price elasticity of demand measures the ratio change in the number demanded of your good (or service) caused by a given ratio change in the good's own-price, keeping all other impartial variables (income, prices of related goods etc. ) set. The ratio of ratio changes thus permits comparisons between the price sensitivity of demand for products that might be measured in various units (gas and electricity for example). 'Arc' price elasticity of demand calculates the percentage of ratio change in variety demanded to percentage change in price using two observations on price and variety demanded. Formally this can be expressed as:

Equation(1)

where:

Equationrepresent the discovered change in volume demanded and price

Equationrepresent the common price and amount demanded. The elasticity is unitless and can be interpreted as an index of demand sensitivity; it is calculating the degree to which a adjustable of interest changes (passenger traffic in our case) as some insurance policy or strategic variable changes (total fare including any added fees or fees in our case).

In the limit (when Equationare very small) we obtain the 'point' own-price elasticity of demand indicated as:

Equation(2)

where:

Q(P, S) is the demand function

P = a vector of most relevant prices

p = the good's own-price.

q = equals the number demanded of the good

S = a vector of all relevant switch variables other than prices (real income, demographic characteristics etc. )

We expect own-price demand elasticity principles to be negative, given the inverse romance between price and volume demanded implied by the 'legislations' of demand, with definite values significantly less than unity indicating 'inelastic' demand: a less than proportionate response to price changes (relative price insensitivity). In the same way, absolute values exceeding unity suggest elastic or more sensitive demand: a far more than proportionate demand reaction to price changes (relative price sensitivity).

The ratio of change in number demanded to improve in price [equation (1)] highlights that elasticity measures involve linear approximations of the slope of your demand function. However, since elasticity is measuring proportionate change, elasticity worth changes along virtually all demand functions, including linear demand curves. [6] Estimation of elasticity prices is therefore most useful for predicting demand responses in the vicinity of the seen price changes. As the related issue, analysts need to recognize that in marketplaces where price discrimination is possible aggregate data will not allow for appropriate predictions of demand reactions in the relevant market segments. In air travel, flights by the carrier are essentially joint products comprising differentiated service bundles that are recognized by fare classes. Nevertheless the produce management systems utilized by full-service providers (FSCs) also create a complex form of inter-temporal price discrimination, in which some fares (typically economy category) decline and some increase (typically full-fare business category) as the departure time frame draws closer. This implies that preferably, empirical studies of flights demand should isolate business and leisure travellers or at least have the ability to include some information on booking times to be able to take into account this price discrimination, and this price data should be calibrated for inter-temporal price discrimination: for example, the utilization of full-fare market class solution prices as data will overestimate the overall value of the purchase price elasticity coefficient. Inside the group of differentiated service bundles that comprise each (joint product) airline flight, the relative prices are important in explaining the relative simple substitution between service classes. Given the nature of inter-temporal price discrimination for flights, the relative price could also change significantly in the period of time prior to a departure time.

The partial derivative in (2) reveals that elasticity steps price sensitivity indie of all the other variables in the demand function. However when estimating demand systems over time, you can expect that some important change variables will not be constant. It is important that these switch variables be explicitly identified and incorporated into the analysis, as they'll affect the worthiness of elasticity estimates. This will also be true with some cross-sectional studies or panels. [7] Specifically changes in real income and the costs of substitutes or suits will have an impact on demand. In flights demand estimations, income and prices of other relevant goods should be contained in the estimation equation. Substitute transportation settings (road and rail) are important parameters for short-haul flights, while income results should be measured for both short and long-haul. The absence of money coefficient in empirical demand studies will cause own-price elasticity estimations that can be biased. With no income coefficient, seen price and quantity pairs won't distinguish between motions along the demand curve and shifts of the demand curve. [8]

The slope of a demand function, which influences the own-price elasticity of demand, is generally expected to decrease (become shallower) with:

The number of available substitutes;

The degree of competition in the market or industry;

The ease with which consumers can search and compare prices;

The homogeneity of the product;

The duration of the time period analyzed. [9]

Given the implied relationships above, any empirical demand research should carefully identify market boundaries to include all relevant substitutes and complements and also to exclude products that could be related through income or other more general variables.

In flights, ideally market portion boundaries should be described by first separating leisure and business individuals and second long-haul and short-haul plane tickets. Associated with that people expect different behaviour in each one of these markets. Within each one of these categories, distinctions should then be produced between the following:

Connecting and origin-destination (O-D) travel;

Hub and non-hub airports;[10]

Routes with dominant airlines and routes with low-cost carrier competition.

In addition, for the North American context, long-haul flights should be further split into international and domestic travel (within continental North America). These market portion restrictions are illustrated in body 2. 1 below, which also highlights the relative importance of intermodal competition for short-haul travel.

While distinctions in cost and income sensitivity of demand between business and leisure or long and short-haul travel will be more intuitive, other distinctions are perhaps less clear. If available, data that distinguishes between routes, airlines and airports would provide important estimations of how price sensitivity is related to the number of competing plane tickets and the determination to pay of people utilizing a hub-and-spoke network, in accordance with those traveling point-to-point, additionally associated with low cost carriers. To the level that existing studies assume that each passenger observation signifies O-D travel, they will not be recording fare monthly premiums usually associated with hub-and-spoke systems and full service providers, nor will they always capture the entire itinerary of tourists utilizing a volume of point-to-point plane tickets with an inexpensive carrier. For instance, a passenger who vacations from Moncton to Vancouver with Air Canada, and utilizes the hub at Pearson Airport terminal, is being provided with lots of services which includes baggage checked through to the final vacation spot and frequent flyer points as well as a choice in flights and added airfare and surface amenities. The fare for Moncton-Vancouver includes a high quality for these services. Now look at a traveler that is venturing with WestJet from Moncton to Hamilton, and then with JetsGo from Toronto Pearson Air-port to Vancouver. In this case there are no repeated flyer points to be accomplished and baggage needs to be gathered and re-checked after having a road transfer between Hamilton and Pearson International. Although the origin and destination is the same for these travellers, the itineraries are significantly different. Oftentimes data used for demand estimations would not able to account for these dissimilarities.

Route-specific data can also record competition that may exist between airports and the assistance they give as well as airlines. This can be especially true for several short-haul routes where intermodal competition (street and rail) can play an important role in shaping flights demand.

3. Measurement Issues

Oum et al. (1992) provide a valuable list of pitfalls that appear when demand models are estimated and therefore impact the interpretation of the elasticity estimates from these empirical studies.

1. Price and Service Traits of Substitutes: Air travel demand can be affected by changes in the prices and service quality of other settings. For short-haul routes (market segments) the comparative price and service traits of automobile and train would have to be contained in any model; particularly for short-haul marketplaces. Failure to add the price and service traits of substitutes will bias the elasticity. For example, if airfares increase and auto costs are also increasing, the airfare elasticity would be overestimated if vehicle costs were excluded.

2. Functional Varieties: Most studies of flights demand use a linear or log-linear useful specification. Elasticity quotes can vary widely depending on functional form. The choice of practical form should be determined on the basis of statistical screening not ease of interpretation.

3. Cross-Section vs. Time-series Information: Over time demand elasticities for non-durable goods and services are larger in absolute conditions, than in the brief run. This uses because over time there are many more substitution possibilities you can use to avoid price boosts or service quality decreases. In place there will be more opportunities to avoid these changes with substitution opportunities. Data is commonly cross-sectional or time-series although more recently panels have become available. A panel is a combination of cross-section and time-series - home elevators several routes for a multi-year period is a -panel. Cross-sectional information is normally thought to be indicating short run elasticities while time-series data is interpreted as long run elasticities. In time-series data the information displays changes in market segments, expansion in income, changes in competitive circumstances, for example. Policy changes should rely on long haul elasticities since these are long run effects that are being modelled. Brief run elasticities become important when contemplating the competitive position of companies in a highly energetic and competitive industry.

4. Market Aggregation/Segmentation: As the amount of aggregation increases the amount of deviation in the elasticity quotes decreases. This occurs because aggregation averages out a few of the underlying variance associated with specific contexts. Since air travel market segments varies significantly in persona, competition and dominance of trip goal, interpreting a decrease in variant through aggregation as a very important thing would be erroneous. Such estimations may have relatively low standard deviations but would be also be relatively inaccurate when used to determine the result of changes in fares in a particular market.

5. Identification Problem: Generally only demand functions are estimated in endeavors to gauge the demand elasticity appealing. However, it established fact that the demand function is part of your simultaneous equations system consisting of both resource and demand functions. Therefore, a straightforward estimation of only the demand equation will produce biased and inconsistent quotes. The problem of id can be illustrated by describing the process where fares and travel, for example, are decided in the origin-destination market concurrently. To model this technique in its entirety, we should develop a quantitative estimate of both demand and offer functions in something. If, in the past, the supply curve has been shifting anticipated to changes in development and cost conditions for example, as the demand curve has remained set, the resultant intersection tips will track out the demand function. On the contrary, if the demand curve has shifted scheduled to changes in personal income, while the source curve has remained the same, the intersection items will trace out the supply curve. The most likely outcome, however, is movements of both curves yielding a structure of fare, number intersection points that it will be difficult, without further information, to tell apart the demand curve from the source curve or estimate the parameters of either. [11]

Earlier we identified resources of bias that can happen from issues with aggregation, data quality, implicit assumptions of strong separability among others. Virtually all demand studies have an implied assumption of strong separability in that they only consider aviation markets in the research. Such studies in place constrain all changes or replies in fares or service to be wholly contained in the aviation component of people's consumption bundle. The newspaper by Oum and Gillen (1986) is the one exception where awareness of substitution with other areas of usage was contained in the modelling. It would be difficult to extract a conclusion from this one study concerning existence, degree and path of bias in elasticity quotes when other areas of usage are and are not contained in the modelling. However, having said this, an inspection of the elasticity estimates from this analysis shows they aren't significantly different than other time-series estimates.

3. 1 Data Issues

Elasticity estimates count critically on the product quality and magnitude of the data available. Currently, the best data for demand estimation is the DB1A ten percent ticket sample in the US, but even this data has some problems. [12] The DB1A sample represents 10 percent of all seat tickets sold with full itinerary discovered by the coupons attached to the ticket. However with digital tickets, as more and more tickets are being sold online, there's a growing part of overall travel that may not be captured in the sample. Which means that the proportion is not 10 percent but something less. [13] Other important considerations will be the amount of travel on recurrent flyer points, by team and airline personnel.

In Canada we have poor quality data since it is incomplete, even if it were accessible. Airports collect traffic statistics but these data make it very difficult to distinguish OD and portion data. Airlines report traffic data to Statistics Canada (or are supposed to) but these data do not include fare information or routing. Knowing the itinerary or routing is important because of dissimilarities in service quality and hubbing results. Fare data is also more useful than yield information since it recognizes the proportion of folks travelling in various fare classes. Yet, in many cases yield information is utilized as a weighted average fare. Addititionally there is the situation that providers of different size may have different reporting requirements. Some experts and consultants have been cobbling jointly data collections for analysis by using the PBX clearing house information. These data are limited and apply and then those airlines that are members of IATA. [14] The current general population data available in Canada simply will not allow estimation of any demand models.

Besides demand side data additionally it is important to have supply part information. Elasticity quotes should emerge from a simultaneous equations framework. This data is more accessible through organizations like the OAG[15], which provide information on capacity, air travel and plane type for each journey in each market. [16] These data strategy changes in capacity, air travel regularity and timing of plane tickets.

One analysis, which undertook an comprehensive survey to gather multimodal data, [17] was the High Speed Rail study sponsored jointly by the National, Ontario and Quebec government authorities. This study, which experienced three different demand modelling work, examined the prospect of High Speed Rail demand, and succeeding investment, in the Windsor-Quebec corridor. The research included intermodal substitution between air, rail, bus and car. The study was performed in the first 1980s. However, it isn't possible for general public access to any of the technical documents that would allow an evaluation of the analysis. Attempts in the past to obtain usage of the info have proven fruitless.

3. 2 Distinguishing Elasticity Measures

As we have mentioned, price elasticity steps the degree of responsiveness to a change in own or other prices (fares). However, good care must be exercised in interpreting the elasticity since they differ according to the way they have been estimated. Many empirical studies of air travel demand estimate a log-linear model. In evaluating such studies, it is important to keep in mind that the empirical specs suggests a certain consumer desire structure as a result of duality between power functions and demand functions. It is equally important to remember that empirically estimated demand functions should contain some options of quality and service distinctions or quality changes over time. Failure to include metrics for repeated flyer programs, journey frequency, destination choice or service levels in estimating an air demand function can lead to downward bias in the purchase price elasticity estimations.

Price elasticities can be approximated for aggregate travel demand as well as modal demand. Physique 3. 1 illustrates the variations between aggregate and modal elasticities. [18] Our interest is in modal elasticities not the aggregate amount of travel but it is important finally that any coverage analysis take bill of the impact of any insurance plan change on aggregate travel as well as modal redistribution. The impact of an change in price on aggregate demand would be measured by the -fis in Shape 3. 1 whereas the Fiis would gauge the impact on flights demand. The Fiis are a amalgamated or combo of the fis and the Miis.

The Canadian aviation industry has been subject to significant change in the last many years. In 2000 Air Canada completed its takeover of Canadian Airlines, which remaining it with more than 80 percent market talk about. Market dominance contributes to different fare and service quality levels. As a result of higher fares, for example, we have to find higher definite ideals of elasticities of demand due to the fact with higher fares we've moved further in the demand curve. In 1996 Westjet moved into the marketplace and has extended to grow every year. Canada 3000 exited the market in 2001, as performed Canjet and Royal (as part of Canada 3000). Origins flight has come and eliminated but Canjet has reemerged in eastern Canada and JetsGo is offering some degree of service on longer haul local flights as well as in the Montreal-Toronto market.

The admittance of low cost carriers leads to lower fares for a subset of traffic and rivals will give you a supply of seats to complement these fares. Lower average fares should lead to lower demand elasticity quotes, while rises in the number of competitors on the market will lead to raised demand elasticity estimates.

One should not confuse low cost providers with a seeming lack of exploiting monopoly electricity. High prices or fares aren't synonymous with monopoly and low fares with competition. Airlines like Westjet where they are the sole airline serving the market may still act as a monopolist but fee low(er) fares. Profit making the most of monopolists price where marginal cost equals marginal income, if marginal cost is low, one should be prepared to see lower fares but nonetheless marginal cost and income are equalized. Monopolists are usually seen as being high price because they're high cost and the high costs are due to some degree from a lack of competitive discipline on the market. Full service service providers working with hub-and-spoke systems have a high cost business design while low cost carriers have an inexpensive business model.

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