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Notes on Lecture Principles of Economics Free Essays
Book: Principles of Economics (N. Gregory Mankiw) http://admin. wadsworth. We will write a custom essay sample on Notes on Lecture Principles of Economics or any similar topic only for you Order Now com/resource_uploads/static_resources/0324168624/8413/Mankiw_TenPrinciple_Videos. html Introduction economy: Greek: the one who manages the household scarcity: the limited nature of society`s resources economics: the study of how society manages it? s scarce resources economy: a group of people interacting with one another as they go about their lives important: management of society? s resources; resources are scare most societies, resources are allocated not by a single household, but through the combined action of millions of households and firms Economist: study how people make decisions: how much they must work; what they buy; how much they save; how they invest their savings, how people interact with each other; also analyze forces and trends that effect the economy as a whole, including the growth in average income and the rate at which prices are rising; Ten Principles of Economics: How people make decisions: #1 People face tradeoffs ââ¬Å"There is no such thing as a free l unch. â⬠To get one desired thing, usually required giving up another desired thing: making decisions ( trading off one goal against another e. : How I spend my money (save/invest); The subject I want to study; The job I want to work in; The meal I am going to have; The place where I want to live or to study abroad â⬠¦ classical tradeoffs: ââ¬Å"guns butterâ⬠; (e. g. reducing pollution vs. low wages and high producing costs) ââ¬Å"efficiency equityâ⬠: conflicts when government policies are being designed efficiency: the property of society getting the most it can from it`s scarce sources (size of economic pie) equity: the property of distributing economic prosperity fairly among the members of society (how the pie is divided) 2 The cost of something is what you give up to get it because people face tradeoffs, making decisions requires comparing the costs and benefits of alternative courses of action; (often cost of some item not as obvious: e. g. all the inco ming cost when decided to study: money time) opportunity cost: whatever must be given to obtain some item (How much do I have to give up = measure for the trade-off) e. g. start a Master`s Course or not: alternatives (opportunity costs: working; work travel; another Bachelor; Internship; (each decision causes new Costs. marginal costs? ); #3 Rational People think of the Margin e. g. examination: not black white: blow of vs: 24h studying ( decisions are shades of gray (airline) e. g. average cots of seat: $500, marginal cost: bag of peanuts soda (e. g. $20) marginal changes: small incremental (schrittweise, zunehmend) adjustments to a plan of action (adjustments around the edge of what you are doing) e. g. thinking of the alternatives of not proceeding with a Master`s course (opp. Cost), but start to work directly after the B. A. ( marginal costs: lower wage; less career possibilities; marginal benefits: a wage at all; BUT: only profitable when marginal benefit of the action exce eds the marginal costs #4 People respond to incentives although comparing costs benefits (c b) behaviour may change when costs or benefit change ( d. h. people respond to incentives effect of price on the behaviour of buyers sellers is crucial e. g. price of an apple rises: buyer: decide to buy pears; fewer apples bec. cost of buying apple is higher; sellers: hire more workers harvest more apples bec. enefit of selling one is higher e. g. policy changes: tax on gasoline: encourage people to drive smaller, more fuel-efficient cars or public transportation etc. ( when analyzing policy we must consider not only the direct effects but also the indirect effects that work through incentives (e. g seat belt law); if the policy changes incentives, it will cause people to alter their behaviour e. g. when receiving an income parents (money) for studying it might change the incentive to work and earn own money How people interact: #5 Trade can make everyone better off rade bw. Two countrie s can make each country better off; e. g. each family in the economy is competing with all other families (despite comp: family would not be better off isolating itself; but gains much from its ability to trade with others) ( trade allows each person (country) to specialize in the activities he or she does best; by trading with others, people can buy a greater variety of goods and services at lower costs e. g. #6 Markets are usually a good way to organize economic activity . firms decide whom to hire what to make ouseholds decide which firms to work for what to buy with their incomes; ( these firms households interact in the marketplace, where prices self-interest guide decisions; in a market economy nobody is looking put for economic well-being society as a whole; free markets contain many buyers sellers of numerous goods services; all primarily own well-being; ( yet: despite decentralized decisionmaking and self-interested decisionmakers; market economies have proven success ful in organizing economic activity in a way that promotes overall economic ell-being ( invisible hand (Adam Smith: 1776): does not ensure that economic prosperity is distributed fairly ( prices are the instrument with which the invisible hand directs economic activity; ( price have to adjust naturally to supply and demand! ( Prices reflect both: value of a good to society the cost to society of making the good ( bec. ouseholds firms look at prices when deciding what to buy sell: unknowingly consider the social benefits costs of their own actions; ( prices guide these individual decisionmakers to reach outcomes that often maximize the welfare of society as a whole; market economy: an economy that allocates (zuteilen) resources through the decentralized decisions of many firms and households as they interact in markets for goods and services (vs: centrally planned economies, like in communism); #7 Government can sometimes improve market outcomes or two broad reasons: ( to promote efficiency and equity: most policies aim either enlarge the economic pie, or to change how it`s devided; invisible hand usually leads markets to allocate resources efficiently, but sometimes it does not work for various reasons: ( market failure: a situation in which a market left on its own, fails to allocate resources efficiently (Marktversagen) one possible reason: ( externality: the impact of one person`s actions on the well-being of a bystander (unbeteiligter Dritter e. g. pollution (external cost) or creation of knowledge (external benefit) (Externalitat) another possible reason: arket power: the ability of a single economic actor (or small group of actors) to have a substantial influence on market prices (Marktmacht) (e. g. only one well: monopoly ( regulation of the price by the government can potentially enhance economic efficiency) How they economy as a whole works #8 A country`s standard of living depends on its ability to produce goods and services the growth rate of a countries` productivity determines the growth rate of its average income productivity: the amount of goods and services produces from each hour of a worker`s time undamental relationship bw. productivity living standards is simple, but: its implications are far-reaching! #9 Prices rise when the government prints to much money e. g. 1921: German newspaper: 0,30 Mark; 1923: 70,000,000 Mark ( inflation inflation: an increase in the overall level of prices in the economy (Anstieg des Preisniveaus der Volkswirtschaft) reason: growth in the quantity of the money: reduces value of the money bec. high inflations imposes various costs on society, keeping inflation at a low level is a goal of economic policymakers around the world 10. Society faces a short-run trade-off between inflation and unemployment Phillips curve: a curve that shows the short-run trade-off between inflation and unemployment reducing an inflation is often thought to cause a temporary rise in unemployment over a period o f a year or two, many economic policies push inflation and unemployment both start out at high levels; short-time trade-off bec. some prices are slow to adjust; (prices are sticky in the short-run) ( various types of policy have short-run effects, that differ from their long-run effects: when gov. educes the quantity of money, it reduces the amount that people spend; Lower spending together with prices that are stuck too high reduces the quantity of goods services that firms sell; Lower sales in turn, cause firms to lay off workers ( unemployment [pic] #1 People face tradeoffs #2 The cost of something is what you give up to get it #3 Rational People think of the Margin #4 People respond to incentives #5 Trade can make everyone better off #6 Markets are usually a good way to organize economic activity #7 Government can sometimes improve market outcomes 8 A country`s standard of living depends on its ability to produce goods and services #9 Prices rise when the government prints to m uch money #10. Society faces a short-run trade-off between inflation and unemployment Mon. 17/10/11 Lecture 2 THINK LIKE AN ECONOMIST Microeconomics: the study of how households and firms make decisions how they interact in markets Macroeconomics: the study of economy-wide phenomena, including inflation, unemployment and economic growth (p. 7) ( since they address different questions, they sometimes take different approaches and are often taught in separate courses; Two Functions of Economists: ââ¬â 1. (try to explain the world) scientists: devise theories; collect, evaluate analyze data ( to verify or refute theory; have own terminology; ââ¬â 2: policy adviser: if Economists try to explain the world, they are scientists; if economists try to change the world they are advisers. â⬠(book) make positive statement (claim): describing real world, model, outcomeâ⬠¦without valuing: claims that attempt to describe the world as it is: are testable with data â⬠¢ make n ormative statement (claim): about how the world should be (personal opinion): claims that attempt to prescribe how the world should be: are not testable with only data (involves our views of religion, ethics, political philosphy) â⬠¢ (may be related: our positive views about how the world works affect our normative views about how the world should be; essence of science: scientific method: the dispassionate development and testing of theories about how the world works ââ¬â scientific method: observation, theory more observation ââ¬â Ec. use theory observation but face obstacles when it comes to experiments; ââ¬â Substitute for laboratory: attention on natural experiments offered by history (e. g. the effect on the natural resource of oil during a war on the prices all over the world and on policy makers, gives Ec. good opportunity to study the effects of a key natural resource on the world`s economies; The role of Assumptions: ââ¬â can make the world easier to understand ââ¬â e. g. to study effect of international trade, we may assume the world consists of only two countries with each producing only two goods ( to focus our thinking ( helps understand the real more complex world ââ¬â the art is, which assumption to make: different assumptions for different problems ( e. g. for studying the short-run and long-run effects of a change in the quantity of money requires different assumptions (p. 22) 3 types of models: abstract, formel, simplification of reality to understand basic correlation: if it does: good model) 1. purly theoretical (statistical) 2. purly empirical (with data, data drift) 3. combination of the two ââ¬â In the model: own terminology is incorporated; built with assumptions (not judging on the assumptions; realistic: think of paper airplane; judge by the output not by the input), irrelevant questions are assumed away 1. First type of model: most simple model of market economy: THE CIRCULAR-FLOW DIAGRAM pic] ( a visual model of economy that shows how money flows through markets among households and firms ââ¬â 2 types of decisionmakers: households firms ââ¬â firms produce goods services using inputs (labor, land, capital) ( factors of production (natural resources, land, knowledge, labor, human capital, machinery.. ) ââ¬â households own the factors of production consume all the goods services the firms produce ââ¬â households firms interact in 2 types of market inner loop: represents the flow of goods services between households firms: households sell the use of their labor, land capital to the firms in the market for the factors of production; firms use these factors to produce goods and services, which in turn are sold to households in the market for g s; ( the factors of production flow from households to firms; goods services flow from firms to households; ââ¬â outer loop: represents the correspond ing flow of money to buy g s from the firms; firms use some of the revenue from these sales to pay for the factors of production (e. . wages of workers); what is left is the profit of the firm owners, who themselves are members of the households; ââ¬â value of factors of production is same as value of g s ââ¬â if that is true: value of goods services = value of factors of production ââ¬â (green is so called: real economic activity) ââ¬â causality runs in both ways (no real beginning or end ( circle) ââ¬â economic models are often composed of diagrams and equations ââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬âââ¬â- Why do economists disagree: . Disagreement about validity of alternative theories about how the world works; disagreement about positive statements (differences in scientific judgments); but also often about the data; when no data exists that supports ones theory or when different data are used 2. Scientists have differ ent values; different normative statements about what policy should try to accomplish ( but choosing the positive statement and theory and specific type of date etc. s already bec. of normative reasons (sort of mixture exists); Lecture 3, Mon 24/10/11 2. Second Type of Model: THE PRODUCTION POSSIBILITY FRONTIER (PPF) Fig. 1 [pic] ( shows the combination of output that economy can possibly produce given the available factors of production and the available production technology. The economy can produce any combination on or inside the frontier. Points outside the frontier are not feasibly given the economy`s resources; ââ¬â e. g. n economy that produces only cars and computers; ââ¬â if all resources were used in the car industry ( economy would produce 1000 cars 0 PCs ââ¬â if all resources were used in the PC industry ( economy would produce 3000 PCs 0 cars ââ¬â if economy were to divide its resources between the two industries ( 700 cars 2000 PCs ââ¬â outcomes at point D are not possible because of scarce resources: economy does not have enough factors of production to support that level of output; ââ¬â efficient outcome: when economy is getting all it can get from its scarce resources that are available; points ON the frontier represent efficient levels of production (rather than inside); ââ¬â when economy is producing at such a point (on the frontier) e. g. point A, there is no way it could produce more of one good, without producing less of the other ââ¬â inefficient outcome: all combination of outcomes inside the frontier, e. g. point B; for some reasons e. g. idespread unemployment, the economy produces less than it could from the resources it has available: (300 cars 1000 PCs); if source of inefficiency were eliminated, economy could move from point B to A, increasing production of both cars PCs; ( People face tradeoffs: PPF shows one tradeoff society faces: once we have reached the frontier, the only way of getting m ore of one good is producing less of the other (e. g. producing more PCs at the expense of producing less cars) ( The cost of something is what you have to give up (opp. cost): PPF shows the opportunity cost of one good as measured as measured in term of the other good (e. g. the opportunity cost of producing 200 more PCs is a 100 cars); Fig. 2 [pic] ( A SHIFT IN THE PPF: an economic advance in the computer industry shifts the PPF outward increasing the number of cars and computers the economy can produce ââ¬â Fig. : PPF is bowed outward (can also be bowed inward): means: the opportunity cost of cars in terms of computers depends on how much of each good the economy is producing; ââ¬â When economy uses most of resources to produce cars ( PPF is quite steep ââ¬â Because even workers machines best suited to making PCs are being used to make cars, the economy gets a substantial increase in the number of computers for each car it gives up; ââ¬â By contrast: when economy is using most of its resources to make computers the PPF is quite flat; resource best suited to make PCs are already in the computer industry and each car the economy gives up yields only a small increase in the number of PCs; ( ââ¬â Slope of the PPF represents how much of one item you have to give up to produce the other item Videos for PPF: ââ¬â http://www. youtube. com/watch? v=KPHyvOn8i6sfeature=related ââ¬â http://www. youtube. com/watch? v=a5rxIY46J7s TRADE No. 5: Trade can make everyone better off: WHY ( ââ¬â We have specialization, which has a downside: we are interdependent! e. g. I`m depending on someone who is making bread; ââ¬â why should people be willing to depend on the behavior of others: because. people choose freely to become dependent ( so there must be some sort of benefit from it e. g. 2 producers (agents) ââ¬â one producer: potato farmer ( potatoes (2 goods) ââ¬â cattle rancher ( meat |Good |Minutes/hours |8 hours/day |Marginal oppo rtunity cost of | | | | | |meat/potato | |Farmer |Meat |60 min. = 1 oz = 1h for 1 oz |Meat = 8 oz |- 4 oz of pot. = 32/8 | | |Potatoes |15 min. = 1 oz = 1h for 4 oz |Potatoes = 32 oz |- 1/4 oz of meat = 8/32 | |Rancher |Meat |20 min. = 1 oz = 1h for 3 oz |Meat = 24 oz |- 2 oz of pot. = 48/24 | | |Potatoes |10 min. 1 oz = 1h for 6 oz |Potatoes = 48 oz |- 1/2 oz of meat = 24/48 | | | | | |Unit: | | | |oz of potato | |oz of potato | | | |oz of meat | |8h (48/24) | | | | | | | ( How do people decide on what to produce? ââ¬â more time for farmer to produce meat ( rancher is better/more productive ââ¬â what are the marginal opportunity costs: how much meat does a farmer have to give up i. o. to get 1 unit of potatoes; ââ¬â by reducing production of potatoes he would have more time to produce meat; but 1 oz meat requires. 4 oz of potatoes; ââ¬â but it`s just a linear relation ship ââ¬â how much has the farmer to give up in order to get 1 more unit of meat! (what is oppo rtunity cost)? rancher has a comparative advantage: is less productive in producing potatoes; but farmer is even less productive in producing meat: derived from comparing the marginal opportunity cost ( Comparative advantage: the comparison among producers of a good according to their opportunity cost (who has the lower one? ) ( or absolute advantage for one product, when both produce more in time: ( Absolute advantage: the comparison among producers of a good according to their productivity 1. Marginal opportunity cost of meat for each person is the inverse of the marginal opportunity cost of potatoes! ( try to measure one good in terms of the VALUE of the other good 2. Production consumption are no more equal like in autarky |Good |Minutes |8 hours/day |Marginal opportunity cost of | | | | | |meat/potatoes | |Farmer |Meat |60 min. = 1 oz = 1h for 1 oz |Meat = 8 oz |- 6 oz pot. = 48/8 | | |Potatoes |10 min. = 1 oz = 1h for 6 oz |Potatoes = 48 oz |- 0. 16 oz of meat = 8/48 | |Ranc her |Meat |20 min. = 1 oz = 1h for 3 oz |Meat = 24 oz |- 1 oz of pot. = 24/24 | | |Potatoes |20 min. 1 oz = 1h for 3 oz |Potatoes = 24 oz |-1 oz of meat = 24/24 | | | | | | | | | |oz of potato | |Unit: oz of pot | | | |oz of meat | |8h (48/24) | | | | | | | ( The rancher has an absolute advantage because he is more productive than the farmer Production Possibility Frontier (PPF) oz of meat 8 4 16 32 oz of pot ( p = c ( production = consumption) without trade (autarky) ( c bigger p (with trade consume more than can produce) ââ¬â if I already produce y meat, I can only produce y below the line is a waste of time; and the line shows efficiency in terms of productivity and time, ââ¬â slope is opportunity cost; usually slope changes depending on where I am already ( Overall conclusion: farmer should produce potatoes while the farmer should produce meat; Assuming each of persons would split the time of production Farmer Rancher (without trade) p = c autarky meat prod. 4 oz 12 o z consumption 4 oz 12 oz potatoes prod. 16 oz 24 oz consumption 16 oz 24 oz meat pot. 0 oz = 30 oz (or changing the price: 34 oz; but relative price must be higher than opportunity cost to trade at all; if he gets more from the trade than in the production, he would not produce and just trade) farmer rancher with trade meat prod. 0 oz 24 oz (18 oz) consumption 5 oz 19 oz (13 oz) potatoes prod. 32 oz 0 oz (12 oz) consumption 17 oz 15 oz (gives up 15 oz) (27 oz) although the farmer has to give up something, he is a little bit better off with trade ââ¬â the rancher is not better of because he consumes less potatoes than in autarky ( (now: the rancher gets more in term of meat AND in terms of potatoes) ââ¬â can be applied to countries as well; rough explanation for international trade patterns (e. g when countries exporting cars and importing oil ( country has comparative advantage in producing cars) Questions to be answered: ââ¬â so define what comparative absolute advanta ge ââ¬â show in production possibility frontier ââ¬â who is producing what NOTES FOR EXERCISES FROM OTHER E. G. CHAPTER 2: Demand ââ¬â How to define these words properly (definition can only be appropriate or not; not right or wrong); it`s not a question of personal disposition What is a Market: A group of people: suppliers (sellers) and buyers (demand) of particular good or service (does not mean that it`s particularly defined or unique; ââ¬â no general identification strategy; ââ¬â competitive market: each buyer and seller (individual) has a negligible effect on the market outcome (infinite no. of sellers and buyers) ââ¬â implications of perfect competitive markets: buyers and sellers operate economically perfect (take price as given)? ( e. g. we have no influence over the price: take the price as given in a supermarket (no bargaining; no negotiation) ( buyers and sellers are both price takers ââ¬â in monopolies: price taker vs. price setter Perfect Mar ket and Competitive Market Monopoly, Oligopoly, Monopson, Monopolistic Competition DEMAND Quantity Demanded: is the amount of a good, that buyers are willing and able to purchase (now) Law of Demand: States that, other things equal, the quantity demanded of a good falls when price of the good rises (slopes downward) Demand Schedule: The demand schedule is a table that shows the relationship between the price of the good and the quantity demanded. Demand Curve: Q(p) = p ( function of p (y (x) = 2x): if price changes, the Qd changes MARKET DEMAND vs. INDIVIDUAL DEMAND ( everybody has a single demand: the sum of it = market demand (for a special good demanded) ( demands are added horizontally [pic] Changes in Quantity Demanded: ( result in an movement ON the curve, caused by a change in the price of the product [pic] Examples for incentives that induce a changed Qd: 1. PRICE (given as a variable on the demand curve) 2. Consumer income:normal good: I increase ( Qd decrease; I decrease ( Qd decrease inferior good: I increase ( Qd decrease; I decrease ( Qd increase Normal Good: a good for which, other things equal, an increase in income leads to an increase in demand Inferior Good: a good for which, other things equal, an increase in income leads to a decrease in demand 3. Price of related goods: Substitutes: two goods for which an increase in the price of one leads to an increase in the demand for the other (e. g. orange juice apple juice): P increase ( Qd increase; P decrease ( Qd decrease Complements: two good for which an increase in the price of one leads to a decrease in the demand of the other (e. g. DVDs DVD-Players): P increase ( Qd decrease; P decrease ( Qd increase 4. Tastes (fashion, food): economists only examine what happens when tastes change 5. Expectations: may affect demand of a good or service today 6. Number of Buyers: determines the Qd in a market: NoB increase ( Qd increase; NoB decrease ( Qd decrease [pic] ( result in a shifts in the demand curve: when Qd changes because of certain circumstances. But price doesn`t change!!! ( not only price can change demand: a shift in the demand either to left (decrease) or the right (increase) ( caused by any change that alters the demand: everything except the price!! [pic] SUPPLY Quantity supplied (Qs): is the amount of a good that sellers are willing or able to sell (now) Law of supply: states that, other things equal, the quantity supplied of a good rises when the price of the other good rises (slopes upward: positively related) Supply schedule: is a table that shows the relationship between the price of the good and the quantity supplied [pic] ââ¬â usually the small ââ¬Å"qâ⬠refers to the individual supply (a firm) and the ââ¬Å"Qâ⬠refers to the market supply (all firms in the market ââ¬â market supply: refers to the sum of all individual supplies for all sellers of a particular good or service: ( individual supply curves are summed horizontally to obtain the market supply curve ââ¬â ( S(p) = S1(p) + S2 (p) +â⬠¦ Sm(p) [pic] the sum of 2 individual supplies ($2 ( 3 cones; $ 2 ( 4 cones = $ 2 ( 7 cones in the market supply ââ¬â if the suppliers (sellers) drop out of the market, the supply would increase with the price ââ¬â (the supply curve represents the set of profit maximizing quantities for firms) ââ¬â e. g supply function: q(s) = -4 + 8p; 0 = -4 + 8; 8p = 4; p = ? ( is the minimum price required to get any firm to produce at all (within this given supply curve) ( if the price would be below ? the quantity supplied would be 0, so there would be no firm to produce at all; ââ¬â slope: change in price divided by change in quantity: e. g. 0 ââ¬â ? : 4 ââ¬â 0 = 1/8 (slope), which doesn`t change when the function is linear!! Change in the quantity supplied: ââ¬â A rise in the price of ice cream results in a movement along the curve (law of supply), so when price changes nothing shifts!! ââ¬â Shifts of the upply curve: Determinants of change in supply: ââ¬â Any change that raises the quantity that sellers wish to produce at a given price shifts the supply curve to the right. Any change that lowers the quantity that sellers wish to produce at a given price shifts the supply curve to the left [pic] 1. Input prices: (labor, material, land, rent: anything that goes into the manufacturing process of the item in question): Input Pr. increase ( S decrease; Input Pr. decrease ( S increase 2. Technology: Technology increase ( S increase; Technology decrease ( S decrease: Techn. In economic terms is the process by which inputs are converted to outputs; 3. Expectations: supply today depends on future expectations: e. g. when higher price of ice-cream expected in future ( store some ice cream ( supply less today! 4. Number of sellers (only relevant in market supply) [pic] Supply and Demand together: Equilibrium: a situation in which supply and demand have been brought into balance (quantity supplied equals quantity demanded Equilibrium Price: the price that balances quantity supplied and quantity demanded. On a graph it itââ¬â¢s the price, where demand and supply curves intersect Equilibrium Quantity: the quantity supplied and the quantity demanded when the price has adjusted to balance supply and demand [pic] Ceterius Paribus: other things being equal (latin): all variables other than the one being studied are assumed to be constant Markets Not in Equilibrium A)B) [pic] [pic] Surplus: A situation in which the quantity supplied is greater than the quantity demanded Shortage: A situation in which the quantity demanded is greater than the quantity supplied Law of supply and demand: the claim that the price of any good adjusts to bring the supply and demand for that good into balance ââ¬â A): when price for ice cream is over the equilibrium price ( quantity demanded is still 4, but the quantity supplied rises to 10 ( there are too many cones produced which can`t be all sold (surplus) bec. f the low demand; ( sellers have to reduce the price again; (prices continues to fall until market reaches equlibrium) ââ¬â B): when price for ice cream is below the equilibrium price ( quantity supplied 4 exceeds quantity demanded, which is now at 10 (shortage of the good); ( sellers can raise the p rices without losing sales; as prices are rising the market moves again toward the equilibrium ââ¬â market activity of many buyers sellers automatically pushes prices toward equil. (law of s d) ââ¬â Once equil. is reached all buyers sellers are satisfied no upward or downward pressure on price Three Steps to Analyzing Changes in The Equilibrium analyzing the change in the market equilibrium through comparative statistics ââ¬â comparing two statistics: new and old equilibrium ââ¬â Three steps to decide: ââ¬â 1. Does event shift the supply curve, the demand curve, or both? ââ¬â 2. Does the curve shifts to the left or the right side? ââ¬â 3. Using the supply-and-demand diagram to examine how the shift affects equilibrium price and quantity A) HOW AN INCREASE IN DEMAND AFFECTS THE EQUILIBRIUM. An event that raises quantity demanded at any given price shifts the demand curve to the right. The equilibrium price and the equilibrium quantity both rise. Here, an abnormally hot summer causes buyers to demand more ice cream. The demand curve shifts from D1 to D2, which causes the equilibrium price to rise from $2. 00 to $2. 50 and the equilibrium quantity to rise from 7 to 10 cones. A)B) [pic][pic] B) HOW A DECREASE IN SUPPLY AFFECTS THE EQUILIBRIUM. An event that reduces quantity supplied at any given price shifts the supply curve to the left. The equilibrium price rises, and the equilibrium quantity falls. Here, an earthquake causes sellers to supply less ice cream. The supply curve shifts from S1 to S2, which causes the equilibrium price to rise from $2. 00 to $2. 50 and the equilibrium quantity to fall from 7 to 4 cones. Shifts in the Curve vs. Movements along the Curve: Notice that when hot weather drives up the price of ice cream, the quantity of ice cream that firms supply rises, even though the supply curve remains the same. In this case, economists say there has been an increase in ââ¬Å"quantity suppliedâ⬠but no change in ââ¬Å"supply. â⬠ââ¬Å"Supplyâ⬠refers to the position of the supply curve, whereas the ââ¬Å"quantity sup- pliedâ⬠refers to the amount suppliers wish to sell. To summarize, a shift in the supply curve is called a ââ¬Å"change in supply,â⬠and a shift in the demand curve is called a ââ¬Å"change in demand. â⬠A movement along a fixed supply curve is called a ââ¬Å"change in the quantity supplied,â⬠and a movement along a fixed demand curve is called a ââ¬Å"change in the quantity demanded. â⬠[pic][pic] A SHIFT IN BOTH SUPPLY AND DEMAND. Here we observe a simultaneous increase in demand and decrease in supply. Two outcomes are possible. In panel (a), the equilibrium price rises from P1 to P2, and the equilibrium quantity rises from Q1 to Q2. (bec. large increase in demand and small decrease in supply) In panel (b), the equilibrium price again rises from P1 to P2, but the equilibrium quantity falls from Q1 to Q2. (because small increase in demand and large decrease in supply) [pic] [pic] NOTES: Elasticity ââ¬â measures the responsivness for to the quantity demanded and the quantity supplied to a change in the market price by 1 % ââ¬â measures percentage change in the quantity to a percentage change in price (or other determinants) Price Elasticity of Demand: a measure of how much the quantity demanded of a good responds to a change in the price of that good, computed as the percentage change in quantity demanded divided by the percentage change in price. Determinants of Price Elasticity of Demand: (How do we react to price changes? ) 1. Necessities vs. Luxury goods (depends on personal perception but in general terms: inelastic vs. elastic); e. g. Food, shelter, clothes vs. diamonds, sailboats etcâ⬠¦ 2. Availability of close substitute (few vs. less = inelastic vs. elastic) 3. Market Definition (broad vs. narrowed; e. g. Cars vs. Ford Focus; Food vs. Breadâ⬠¦) 4. Time Horizon (short vs. long; e. g. the adjustment over a short period of time to gasoline price changes vs. long period of time) How to cite Notes on Lecture Principles of Economics, Papers
Friday, May 1, 2020
The Bloody Chamber free essay sample
They are closely linked throughout the story, through a variety of writing techniques. The symbolism of the ââ¬Ëruby chokerââ¬â¢ is very significant, and it is arguably the key image which links the two themes together. Carter initially presents the ââ¬Ëslit throatââ¬â¢ to the audience, with some context on the violent meaning behind it ââ¬â after the Terror, wearing a red ribbon symbolised a wound. In this description, many references are made to beheading, using terms such as ââ¬Ëblade[â⬠¦] sliced it throughââ¬â¢ and ââ¬Ëcrimson[â⬠¦] arterial bloodââ¬â¢. Considering the intentions of the character of the Marquis, this is greatly foreshadowing and extremely violent. Carterââ¬â¢s writing techniques vary between a lack of description, such as the consummation of the main charactersââ¬â¢ marriage, and a lot of description, such as the imagery of the ââ¬Ëruby chokerââ¬â¢. This is because Carter aims to emphasise the importance of the symbolism of subtle images in her stories, as they provide a lot of meaning and various interpretations. We will write a custom essay sample on The Bloody Chamber or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page The ââ¬Ëruby chokerââ¬â¢ also symbolises sex. The colour imagery of the red rubies does not only symbolise danger, but can be associated with sensuality. The term ââ¬Ëchokerââ¬â¢, on the other hand, can link the two themes through its multiple interpretations. For example, the obvious explanation for choking someone would be to do them harm. However, it is also common, especially in Carterââ¬â¢s stories, for choking to play a part in sex ââ¬â in fact, the term for ââ¬Ëorgasmââ¬â¢ in French, translates to ââ¬Ëa small deathââ¬â¢, and as the story is set in France, this becomes very relevant and supports the argument that the two themes are greatly linked. Therefore, when the Marquis ââ¬Ëmade [her] put on [her] chokerââ¬â¢ during the consummation of their marriage, it immediately causes the audience to associate sex with the violent image that was initially presented along with ââ¬Ëruby chokerââ¬â¢. Furthermore, this link is emphasised to its full extent at the end of the story, when the protagonistââ¬â¢s death ââ¬Ëritualââ¬â¢, parallelly mirrors the consummation of their marriage. She is, again, ordered to put on ââ¬Ëthe necklace that prefigures [her] endââ¬â¢, the Marquis ââ¬Ëripped [her] dressââ¬â¢ and exclaimed that they ââ¬Ëshall have absolute privacyââ¬â¢ and he ââ¬Ëtwisted [her] hair into a ropeââ¬â¢ ââ¬Ëas he had done once beforeââ¬â¢. Even though some readers would argue that the two scenes differ, in the sense that one to derive pleasure in the female character and the other harm, other readers would argue that that is not the case, as the consummation of their marriage is far too similar to the protagonistââ¬â¢s violent death ââ¬Ëritualââ¬â¢. The idea that it was a negative experience is presented through the narratorââ¬â¢s use of language ââ¬â words such as ââ¬Ëshrillingââ¬â¢, ââ¬Ëfightingââ¬â¢, ââ¬Ëstruggleââ¬â¢, ââ¬Ëdeathlyââ¬â¢ and ââ¬Ëshatterââ¬â¢ are used throughout, and female characterââ¬â¢s description of this experience, concludes with her lying in a room which resembled an ââ¬Ëembalming parlourââ¬â¢. This creates an image of murder in the readersââ¬â¢ minds, which as a result, links the themes of sex and violence inextricably. Carterââ¬â¢s symbolism of the Marquisââ¬â¢ ââ¬Ëprayerbooksââ¬â¢ is another disturbing image, which links the two themes together. Violent terms such as ââ¬Ëcuntââ¬â¢ and ââ¬Ëprickââ¬â¢ are used to describe the pornography that is shown in the books, and one particular piece contains the term ââ¬ËImmolationââ¬â¢ in its title. Whereas this would have been very shocking and completely unacceptable to the readers of the time, a modern audience may argue that this link between sex and violence is merely a fetish, due to the increasing exposure to and availability of pornography in media, on the internet, etc. The character of Marquis refers to these books as his ââ¬Ëprayerbooksââ¬â¢, which suggests that he worships the idea of violent sex, and therefore allows the readers to argue that Carter links the themes of sex and violence in the story of ââ¬ËThe Bloody Chamberââ¬â¢ only through the use of the character of the Marquis. For example, when the main characterââ¬â¢s mother comes to the rescue at the end of the story and puts ââ¬Ëa single, irreproachable bullet through [her] husbandââ¬â¢s headââ¬â¢, the violent imagery has no connotations or references to sex whatsoever. Instead, it is presented matter-of-factly, making it seem cold hearted and violent. As a result, it is therefore fair to argue that sex and violence are linked through Carterââ¬â¢s portrayal of the character of the Marquis, and if it was not for him, then these two themes would not be linked.
Wednesday, April 22, 2020
Life After Easy Comparison Essay Topics
Life After Easy Comparison Essay Topics There's, naturally, a limit on the variety of pages even our very best writers can produce with a pressing deadline, but generally, we can satisfy all the clients seeking urgent assistance. If you are going to write a comparative essay, you will need to get a notion of the impacts of distinct aspects to the result which you could get at the conclusion of the writing activity. If you're not prepared to master the art of academic writing alone, there's no need to go the site of an official writing service for students and purchase an inexpensive paper written from scratch to stick out from the remainder of your peers! A car or private computer produced by a little business wouldn't be a superior investment. Students write much better papers when they have some fantastic examples in front of those. They need to successfully complete the curriculum of both educational institutions in order to advance in many careers. They lead busy lives and often forget about an upcoming deadline. They can typically understand the structure with just a short amount of instruction. Definitions of Easy Comparison Essay Topics For instance, you might think of similarities or differences if we are purchasing a new MP3 player or picking a place to study English. Based on the kind of work you're citing, you might have to include extra details. To collect such info, a detailed principal research is necessary. Moreover, it gives a Risk score based on each individual system that's within the asset group. You could also on similarities initially, and differences. For instance, if you have to create a comparison between two unique events through two aspects, you will need two paragraphs. Simply create t wo overlapping circles, one for each one of the topics that you're comparing. There are many possible compare and contrast essay topics, and a number of them are tricky to perform. When you purchase the very first essay here, you will shortly discover that the fear is not anything more than the False Evidence Appearing Real. You'll tackle unique issues and explain several situations as you attempt to locate the suitable answer. When you begin brainstorming and researching the subject, the odds are high you'll discover a wide collection of differences and similarities. The trick here is to select a topic that's very specific and interesting. There are many approaches that may help you to select a topic. Picking a topic where one side of the argument is a lot weaker than the other isn't a fantastic topic for this kind of essay. Following are a few common examples. The topics you'll find here require an exceptional approach as you attempt to produce useful and accurate content. Take notes while reading the materials it's a good head-start! Finding the perfect topic isn't the hardest job in the planet, all you need to do is to take a few factors under consideration. A comparison essay is devoted to description of similar and unique features of a couple of objects. Before you may select the ideal comparison essay topic, you want to understand just what you will be writing about. The more specific you're, the simpler it is going to be to prove it in your essay. The same as descriptive essay examples and other sorts of academic essays, a comparative essay can be produced in various ways. Good paper writing includes a great deal of research and a simple comparison and contrast essay topics capacity to form strong arguments to defend your viewpoint. Your capability to create a great paper is dependent on structuring an ideal outline. To compose a high-quality paper, you've got to understand how to pick your topic properly and utilize it to create a practical outline. In this piece, you will learn the easiest compare and contrast essay help.
Electronics Communication Engineering Paper Presentation Topics
Electronics Communication Engineering Paper Presentation TopicsPeople in the electronics and communications industry often ask me what is my favorite paper presentation topic. There are dozens of interesting and important topics to choose from for such an opportunity.I am speaking here about presenting at large corporations, which really should be known as 'marketing corporations.' It's important to get noticed in the world of marketing and branding because your company is going to represent you in that very competitive marketplace.I have always loved to present on some of the most popular presentation topics. My favorite topics include:In fact, one of my favorite presentation topics was 'Mobile Marketing,' but I learned how to speak Spanish (not to brag) so I changed it to the more relevant topic of 'Electronics Communication Engineering Paper Presentation Topics.' The second category of presentation topics really appealed to me because it included subjects I knew a lot about. For e xample, I was pretty comfortable with digital signal processing (DSP) and analog signal processing (ASP).The most popular category in electronics communication engineering paper presentation topics, of course, is, of course, testing and validation. These are usually by far the most interesting presentations because the topics really challenge the presenter to test the presentation and see if he or she can improve it!Speaking of test and validation, one of my favorites presentation topics is 'Presentation of Engineering Drawings.' This is a little technical, but it's very popular, which means that there is a lot of interest in it! I found that drawing engineering drawings has a major influence on how I do my own production.I think that 'presentation of engineering drawings' is just the kind of topic that will generate lots of excitement among participants. The topic is so interesting that most participants will be literally flipping pages just to check out all the drawings that are p resented during the presentation. I certainly didn't have to draw any of them, but the presentation made me feel like I needed to develop my sketching skills!It was an exciting time for me to present on these 'presentation topics' because they were so unique and different than anything I had ever done before. It was a wonderful learning experience for me.
The Little-Known Secrets to 1776 Essay Topics
The Little-Known Secrets to 1776 Essay Topics Choosing very good essay topics for middle school must be a careful procedure, where a balance needs to be struck between topics that might be too simplistic, more appropriate for the main school, and choosing argumentative essay topics that can be too complicated or controversial. There are different ways of writing an essay but the fundamental structure stays the same. Before writing argumentative essay, a suitable comprehension of the subject needs to be developed, and relevant and authentic material ought to be used. Last word of advice is to ask your teacher before the last decision about the subject selection for argumentative essays. Essay writing is definitely thought to be part of academic life and essay writing demands certain abilities or the area of the writer. Essays are sometimes a difficult assignment for many students. Writing argument essay may be an art in the sense so that it requires thorough understanding of the subject, together with skill. You are then going to be prepared to create your analysis. Creating a very good argument essay starts with a list of argumentative essay topics. It's possible to always structure your issue so that it's unique to the argument which you're proposing in your essay. Although the writer is just describing the subject, there ought to still be logic to follow. You are able to always give more details once your listener asks for more. Set your objective first, then think of a means to write it in an intriguing manner for your readers to relish. Next, you should think about the method on how you need to relay it to your readers. There are a few thumb rules for argumentative essay subjects to prevent clashes, yet earning a point at the exact same moment. Evidences have to be specific to make sure that the notion that one is presenting is supported. When it is argumentative or informative essays, you have to develop a topic that could grab the interest of the reader right away and this isn't such an easy job. As an example, let's say if you're writing about language history essay than you might have to to incorporate all of the information concerning the history language on earth irrespective of any specific region while in specific language history essay, you would speak about history of the language of a specific region. The Essay Topics Game Even today exists a group of folks who believe essay writing is the simplest portion of any educational program and that which you have to do there, is to just go on writing whatever and wherever you truly feel like writing whatever comes in your mind. Heres one o f several public speaking tips you'll get from me Don't be scared to request the huge money. In an issue of speaking, picking out persuasive essay topics is similar to telling yourself what you need to convey to the rest of earth. Why it's important to learn public speaking. Sociology essays handle the study of human social behavior in a society, therefore, it is quite interesting for the students who want to know more about human psyche but boring for people who don't like studying their species. At present these topics aren't feasible to be won regardless of what you write. Persuasive essay topics don't always must be of a severe nature, you can write about things that are linked in your life. Your personal ideas and opinions in the paper has to be supported with arguments. In the majority of cases, you want to think of a topic that will make it possible for other people to realize your perspective, and telling them to feel that what you write is true. Perhaps you still have to understand more about the way to compose a history paper. Or the paper might concentrate on medical discoveries, like the polio vaccine or penicillin. The Most Popular Essay Topics Reading offers many advantages to persons who want to develop into superior writers later on. Controversial issues are happening all of the time, all you have to do is turn on the news and you're able to locate a huge choice of topics to select from. You want to supply sample scenarios, together with other details to drive your point home. The third field of income expansion is by way of the rear of the room sales. Knowledgeable speakers are aware that the introduction should arouse interest. You will have to be quite detailed in your description of the job. Should you need help to know the many varieties of public speaking, and indeed the social relevance of public speaking and why it's so very critical in some careers to learn the essentials of public speaking, then you will definitely find much in the 7 Words System that can help you. Showing awareness about recent changes in this issue you're writing on is very crucial to win a fantastic grade.
Essay Writing - A Guide to Essay Template
Essay Writing - A Guide to Essay TemplateIf you're looking for a template to use in your next essay, you can find plenty of them online. Some provide pre-written essays, others come with sample essays already written out, while others are meant to help you get through the process with ease.The best strategy is to go with one that provides sample essay after sample, allowing you to review beforehand so you know what words you need to choose from. Here's a look at the best guide you can get.The first thing you should look for in a guide to essay writing is words sample. In this case, you will want to find a sample essay already written and have it converted to your own format. Not only will this guide include a pre-written essay, but also sample essays that are already completed and are ready to be translated to your own style.The best guides offer over two hundred samples of essay, which are completed by individuals or colleges and universities of all styles. This allows you to learn from each sample, adjusting the structure and format of your own essays to match your personal needs.This will also help you learn more about how to go about writing an essay. You will want to see examples of the different steps involved with a particular type of essay. A good template will not only give you advice on what to write, but will also provide you with tips on when to use certain words and how to insert them into your piece.Another important reason to get a template is that the information provided on it is correct. With so many choices out there, you'll want to be sure you are doing it right to make sure your reader is satisfied with your work.This also makes it a good method to go with. No matter if you choose a free service or not, it's always better to have someone tell you exactly what you need to do, rather than taking it upon yourself.There are many sites available online, that offer pre-written essays as well as samples of them. This way, if you are unsure where t o begin, you will have the ability to start with an existing essay and work your way from there.
Saturday, March 21, 2020
Essay Sample - Alcoholism in America an Example of the Topic Health Essays by
Alcoholism in America by Expert BrilliantEssays | 27 Jul 2016 Alcohol consumption is integrated into most cultures around the world. In some culture consumption of alcohol are so much part of their routine activities and daily lives that they are consumed with meals. On the other hand, there are some cultures that make access to alcohol restricted such that they are not made part of their everyday activities. Need essay sample on "Alcoholism in America" topic? We will write a custom essay sample specifically for you Proceed There are different reasons why a person drinks. It could be because alcohol helps them relax, it helps them gain confidence, or reduce anxiety, or even fight boredom. Some drink alcohol because they feel depressed or because they are dependent on it. And since alcohol consumption is well ingrained in the culture, many companies capitalize on this and many varieties of alcoholic drinks have been introduced and are available in the market today. The manufacturers of alcoholic drinks and beverages have even expanded their markets by including as among the possible consumers teenagers as young as 12 years old. The mass media has also spawned advertisements that entice and condition the minds of people that any celebration will not be complete without alcohol. It is present in parties, in a gathering of friends, birthdays, and the like. It is present in celebrations of life, of friendship, and of success. Our Customers Very Often Tell Us: I'm not in the mood to write my essay now. I don't have the time Essay writer professionals advise: Get Help In Writing An Essay Online Cheap Essays Where to Buy Essay Writing In the midst of these, the problem of alcoholism is a cause for concern in every society. Alcoholism is synonymous with alcohol dependence and alcohol abuse. Drinking alcoholic beverages to a point that it interferes with physical health, mental health, and social, family, or occupational responsibilities mark alcoholism (Paul Ballas and Thomas Jefferson). Problems Associated with Alcoholism Since alcoholic drinks and beverages have been around for a long time, the problems associated with alcoholism had also been hounding the American society for so many years. In a recent study conducted by the Archives of General Psychiatry, they found out more than 30 percent of Americans say they have had problems with alcohol. (Steven Reinberg, 2007) Further, the study showed that 17.8 percent say they have alcohol abuse problems, and 12.5 percent are alcohol-dependent. (Reinberg) As the debate on whether alcohol is indeed harmful on a persons health continues, the number of alcoholics in the United States has constantly increased through the years. In 1998, an estimated 25%-40% of patients in general hospital beds are seeking treatment for ailments that are alcoholism-related (Thomas R Hobbs, 1998). As the number of adults hooked into alcohol increases so is the number of teenagers who are abusing alcohol. Although the minimum drinking age is 21 or 18 depending on the jurisdiction, it seems that more teenagers are drinking alcohol frequently. Most of these teenagers who are driven by their adventurous spirits and in their desire to experiment with almost anything will start by drinking one or two glasses. Later on, they will feel good after they are drunk and feel indestructible and shield from their problems. Eventually, they will begin to like its taste and soon will be consuming more alcohol than their body can take. I believe that one need not look into the statistics to confirm the fact of alcohol is a serious problem in the United States. One only needs to be updated with the increasing number of celebrities and movie personalities who are undergoing rehabilitation for their alcohol problem. Recent studies show that drinking among teenagers is a serious problem among teenagers. They found that 52% of eighth graders (and 80% of high-school seniors) have used alcohol at some time while 25% of eighth graders (and 62% of high-school seniors) have been drunk. It is very alarming that most teenagers nowadays are into alcohol. It is not surprising that most of them are completely unaware of the harmful effects of taking alcohol on their body. It must be stressed that excessive alcohol drinking can lead to serious health problems such as depression, liver problems, and heart failure and permanent damage to the persons brain and nervous system. According to Dr. John Nelson of the American Medical Association (2002), there is scientific evidence that may prove that even modest alcohol consumption in late childhood and adolescence can result in permanent brain damage. (Psychological Effects of Alcohol on Teenagers) Aside from health issues, excessive consumption of alcohol also increases the possibility of violent behavior and victimization. Alcoholic teenagers are more likely to commit the crime or be a victim of a serious crime. As a teenager gets intoxicated he becomes more prone to engaging in violent behavior such as gang wars or fights. She may also be a victim of sexual assault, harassment or rape. Driving while under the influence of alcohol increases the likelihood that the teenager may meet the accident while on the road. In a number of accidents which happen along the road, one will be surprised according to the National Highway Traffic Safety Administration (NHTSA), the youths are most often involved in alcohol-related driving accidents. Statistics shows that although young drivers make up only 14% of the US Population, youths aged 16-24 have been involved in 28% of the alcohol-related driving accidents A drunk teenager is also more likely to engage in the risky sexual behavior. She is also very vulnerable to coercive sexual activity such as gang rapes or sexual assault. When this happens, it is very likely that he or she may acquire sexually transmitted diseases. It is also worth noting that teenagers who are addicted to alcohol are more likely to be depressed and thus commit suicide. Some teenagers who are depressed and suffer from anxiety think that alcohol will help them find a solution to their problem. After taking it for so many times, they will only find out that their mental and emotional problems will not go away merely by drinking alcohol. They eventually feel that committing suicide will be the final solution to this problem. Although the cause and effect relation between suicidal tendencies and alcoholism has not yet been proven, studies have found that alcoholism and suicidal behavior are associated with each other. (Teens and Alcohol) Habitual use of any intoxicating alcoholic drink is not only detrimental to the person concerned but also to his family and to society. It affects the entire family and his relationship with his parents, siblings, friends, and to the rest of the society. Living with an alcoholic member of the family causes stress and, often, children who grow up in such an environment have reduced chances of developing in a normal acceptable way. More often than not, many people with alcohol problems are not aware that they may have done something bad when their drinking gets out of hand and this gives way to unpleasant consequences, be it to the person concerned or to his immediate surroundings. Not only are most of the accidents and crimes alcohol-related but alcoholism also affects productivity and has a myriad of social costs. Different treatment programs are now available for alcoholics. Researchers are still ongoing to understand better alcoholism and to seek treatments that will benefit alcoholics. As the individual concerned is the one who is most decisive in breaking free from the vicious cycle of alcoholism, support groups also play an important role in reclaiming an alcoholics lost life and lost opportunities. In the USA, programs in the treatment of alcoholism are very common and very well supported. They have the Alcoholics Anonymous (AA). AA was formed in 1935. Membership in AA is free of charge. AA consists of a group of recovering alcoholics who try to help each other stay sober. Their members have regularly scheduled meetings where they listen and share their stories to make them realize that they are not alone in their problem. However, the first step to finding a solution to the problem of alcoholism is acceptance of the problem. Unless the person truly admits to himself that he has the problem and that he needs help, he will not gain peace and will not be truly healed. References: Alcoholics Anonymous (1976). The Story of How Many Thousands of Men and Women Have Recovered from Alcoholism, 3rd Edition. Alcoholics Anonymous World Services Inc.: New York City. Ballas, Paul & Jefferson Thomas. 2006. Alcoholism Health Article. Healthline. Retrieved August 14, 2007 from: http://www.healthline.com/adamcontent/alcoholism/ Hobbs, T. (1998). Managing Alcoholism as a Disease. Physicians News Digest. Retrieved August 14, 2007 Institute for Social Research, University of Michigan, Monitoring the Future Study, 2000 Data From In-School Surveys of 8th, 10th, and 12th Grade Students. Psychological Effects of Alcohol on Teenagers. The Marin Institute. Retrieved August 15, 2007 Reinberg, Steven. Third of Americans Have Alcohol Problems at Some Point. Washingtonpost.com. July 2, 2007. Retrieved August 14, 2007 Teens and Alcohol. The National Youth Violence Prevention Resource Center. Retrieved August 14, 2007
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