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Chapter 7Perfect Competition and the Invisible HandQuestionsAll else equal, does a steep or flat demand curve result in higher social surplus? How does steepness of supply affect social surplus?Answer: Everything else equal, a steep demand curve will result in higher social surplus. As can be seen in the following figures, social surplus (shown by the triangles A and B) is higher in the market with a steep demand curve. Similarly, other things remaining the same, social surplus (shown by the triangles A and B) is higher in a market with a steeper supply curve. How do economic profits and losses allocate resources in an economy? Answer: When positive economic profits exist in an industry, resources flow to that industry because of the profits available. This behavior causes resources to flow from less productive uses to more productive uses. That is, businesses seek to improve their profits and in so doing, they move resources into the production of goods and services that society values the highest. Similarly, when firms face economic losses, they exit the industry and put their resources to more profitable uses. Again, this allocates resources to industries that produce goods and services that society values the highest. How will the invisible hand move corn prices in response to:a flood that destroys a great deal of the corn crop?a rise in the price of wheat (a substitute for corn)?a change in consumer tastes away from corn dogs toward hot dogs?an increase in the number of people with access to the corn market?Answer: Since a great deal of the corn crop has been destroyed by the flood, the supply curve for corn will shift leftwards and the price of corn will increase.When the price of a substitute such as wheat increases, the demand for corn will increase. The demand curve will shift rightwards and the price of corn will increase.Corn (not surprisingly) is an important input in the production of corn dogs. If consumers prefer fewer corn dogs, the demand curve for corn will shift leftwards and the price of corn will fall.As more buyers enter the market, the demand for corn will increase. The demand curve will shift rightwards and the price of corn will increase. How will the social surplus change if the quantity sold is restricted below the equilibrium quantity?Answer: If the quantity sold is restricted below the equilibrium quantity, the social surplus will become smaller due to the presence of deadweight loss.Can the government do a good job of the invisible hand? Explain your answer with the case of Korea discussed in the chapter.Answer: North Korea is a command economy, where a centralized authority determines the goods and services produced, whereas South Korea is a market economy based upon price signals and strong economic incentives. Exhibit 7.16 in the chapter shows that the growth rates of the real per capita GDP in North Korea and South Korea from 1950 to 2008 are 33% [($1,133 – $850)/$850 100] and 2059% [($18,356 – $850)/$850 100], respectively. This dramatic difference indicates the inability of the government to do the job of the invisible hand.What could explain why South Korea’s gross domestic product (GDP) per capita increased so much faster since the 1970s than North Korea’s GDP per capita? Answer: One of the factors that could explain the divergence between South Korea’s and North Korea’s per capita GDP is the fact that South Korea is a market economy while North Korea is a command economy. The price mechanism allocates resources in market economies to their most efficient use. It also aligns the incentives of sellers and buyers. Central planners in command economies, however, face coordination and incentive problems. The central planner does not fully understand consumer wants and the production capabilities of every sector of the economy, and it is difficult to provide workers with appropriate incentives.There are always debates on minimum wages between policymakers and economists. While policymakers may support the raise of minimum wage, economists usually object to it. What are the rationales behind them? Answer: The policymakers support a higher minimum wage because they aim to increase equity by redistributing incomes from high-income groups to low-income groups. However, the economists usually object to it because they aim to increase efficiency by allowing the labor market to operate under the invisible hand. Suppose the need for babysitters increases in all countries. How does it cause different consequences in the market economies and the planned economies?Answer: In market economies, the increase in the demand for babysitters raises the price and the quantity of babysitters. However, in planned economies, the government may not be willing or able to meet the need as rewards are based on meeting quantity targets, not prices. If that is the case, there will be a shortage of babysitters. On the other hand, if the government is willing to meet the need, it can assign more people to be babysitters, which would increase their supply. Therefore, the price of babysitters does not change, while the quantity increases. Sofia, a political science student, thinks that the government should intervene to revive declining industries like video rentals and print newspapers. The government, she reasons, can resolve the coordination problem of getting the agents in these markets to trade. Do you agree with her? Explain your answer. Answer: Sofia’s reasoning is flawed because declining industries do not face a coordination problem. A coordination problem results when economic agents with coinciding interests cannot be brought together to trade. However, in this case, falling demand is responsible for the decline of industries like video rentals and print newspapers. Even if the government attempted to bring together economic agents in these industries, it is unlikely that demand for rented videos and newspapers will increase. Is the introduction of unemployment insurance a policy to increase efficiency or equity? Explain.Answer: Unemployment insurance can increase equity because it redistributes incomes from working people to unemployed people as the premium is paid by the employed population. Are there real-world markets that resemble double oral auctions? Suppose you had to organize a double oral auction for a good that has perfectly elastic demand. Do you expect prices to approach the competitive equilibrium?Answer: Double oral auctions are similar to how trading actually works on stock exchanges—traders announce bids and asks and if they match, a trade is executed. Double oral auction experiments with many different market variants - including varying the elasticity of supply and demand and the numbers of buyers and sellers - have shown that the equilibrium price in the market will be very close to where the supply and demand curves intersect. So, the price in a double oral auction for a good with perfectly elastic demand is also expected to approach the equilibrium price. Imagine you are a buyer in a double oral auction with a reservation value of $10 and there is a seller asking $8.How much will you gain from accepting this offer?If you are the only buyer, and you know that the lowest ask price is $2, should you accept this offer? Answers: By accepting this offer, you will gain $2 ($10 – $8).Yes. By accepting this offer, you will gain $8 ($10 – $2). If you choose to accept an offer from a different seller, your surplus will be lower. By accepting the lowest ask price of $2, you will maximize your surplus from this trade. ProblemsThe following diagram shows the market demand and market supply for sweaters. Calculate consumer surplus, producer surplus, and social surplus in this market.Answer: Producer surplus is the area of triangle I and is equal to ? x 100 x (60 – 20) = 2000. Consumer surplus is the area of triangle II and is equal to ? x 100 x (90 - 60) = 1500. Social surplus is the sum of consumer surplus and producer surplus and is equal to 1500 + 2000 = 3500.Suppose the market for live lobsters is perfectly competitive. After the lobsters are caught, the fishermen have to sell them as soon as they can before the lobsters die. Assume that no one buys dead lobsters from the fishermen, and therefore, the price of dead lobsters is zero. Explain the price elasticity of supply of live lobsters at the daily market. Suppose that no consumers are willing to pay $50 or higher for each kilogram of live lobsters, and 2,800 kilograms of live lobsters are traded at the price of $20 per kilogram every day. Calculate the consumer surplus, producer surplus, and social surplus. Answers: At the daily market, the fishermen are willing to sell all the live lobsters at any prices because it is assumed that no one buys dead lobsters. Therefore, the price elasticity of supply of live lobsters is perfectly inelastic.Consumer surplus = [($50 – $20) × 2800]/2 = $42,000Producer surplus= $20 2800 = $56,000Social surplus = consumer surplus + producer surplus = $42,000 + $56,000 = $98,000There are four consumers willing to pay the following amounts for an electric car:Consumer 1: $70,000Consumer 2: $20,000Consumer 3: $80,000Consumer 4: $40,000There are four firms that can produce electric cars. Each can produce one car at the following costs:Firm A: $30,000Firm B: $60,000Firm C: $40,000Firm D: $20,000Each firm can produce at most one car. Suppose we wanted to maximize the difference between consumers’ willingness to pay for electric cars and the cost of producing those cars; that is, we wanted to maximize social surplus. How many electric cars should we produce? Which firms should produce those cars? Which consumers should purchase those cars? Find the maximum social surplus in the electric car market.Answers: We should produce three cars. The value of the fourth car would be just $20,000 and would cost $60,000 to produce.ConsumersFirms(I)(II)$80,0003$20,000D$70,0001$30,000A$40,0004$40,000C$20,0002$60,000BThe three lowest cost firms should produce: Firms A, C, and DThe three consumers who value electric cars the highest should own electric cars: Consumers 1, 3, and 4.Willingness to pay of the consumers = $80,000 + $70,000 + $40,000 = $190,000Total Cost = $20,000 + $30,000 + $40,000 = $90,000Social surplus = $190,000 – $90,000 = $100,000Let us continue with the electric car example from problem 3. Suppose the market for electric cars is competitive. Show that the equilibrium price in this market is $40,000. Which firms will produce an electric car if the price is $40,000? Which consumers will buy an electric car when the price is $40,000? Calculate consumer, producer surplus, and social surplus when the price is $40,000. Compare your answers to those for problem 3.Answers: When the price is $40,000, three consumers (all except 2) are willing to buy an electric car because their willingness to pay is greater than or equal to price. Three firms (all except B) are willing to sell an electric car since their cost is less than or equal to the price. Therefore supply equals demand when the price is $40,000.Firms A,C, and DConsumers 1,3 and 4 Consumers 1, 3, and 4 are willing to pay a total of $80,000 + $70,000 + $40,000 = $190,000 for three cars. At a price of $40,000 they will pay 3 x $40,000 = $120,000 for those cars. Therefore consumer surplus equals $190,000 - $120,000 = $70,000. It will cost Firms D, A, and C a total of $20,000 + $30,000 + $40,000 = $90,000 to produce those cars. At a price of $40,000 their revenues equal 3 x $40,000 = $120,000 Therefore producer surplus equals $120,000 - $90,000 = $30,000. Social surplus is the sum of consumer and producer surplus. Therefore, social surplus equals $70,000 + $30,000 = $100,000.The point here is that competitive markets lead to efficiency. The market outcome here leads to the maximum social surplus we found in problem 3.Sara and Jim are going to lunch together and rank the restaurant options in the following way. Which restaurants are Pareto efficient?Sara’s PreferencesJim’s PreferencesChipotle4th3rdNaf Naf1st4thPanera2nd5thPotbelly3rd2ndBlaze5th1stAnswer: Naf Naf, Potbelly, and Blaze are Pareto efficient. Chipotle is not Pareto efficient since both Sara and Jim are better off going to Potbelly. Naf Naf is Pareto efficient since Sara is worse off anywhere else. Panera is not Pareto efficient since both Sara and Jim are better off at at Naf Naf. Potbelly is Pareto efficient since Chipotle and Blaze are worse for Sara, yet Naf Naf and Panera are worse for Jim. Finally, Blaze is Pareto efficient since Jim is worse off anywhere else.The market for electric drills in a certain country is characterized by a large number of buyers and sellers and every buyer who wants a drill and can afford one has bought one. In other words, the market for drills is in equilibrium.Does this also mean that it is Pareto efficient? Explain your answer. If some of the buyers in this market are now willing to pay more than they did earlier, would your answer change? Answers: An outcome is Pareto efficient if no individual can be made better off without making someone else worse off. A competitive market maximizes social surplus which means there are no further gains from trade. A gain from trade would imply that two people (a buyer and a seller) are made better off (while all others are not affected). This means that if there were a gain from trade, the market would not be Pareto efficient. However, since there are no such gains from trade, the market is Pareto efficient.Initially the market may not be efficient if the price has not had time to adjust upward. However, once a new equilibrium price is achieved, the market will be Pareto efficient as pared to the market for cars, the market for vintage buttons has fewer buyers and sellers. Social surplus is likely to be higher in the market for cars than in the vintage button market. Is it then correct to assume that the outcome in the car market is Pareto efficient while in the vintage button market it is not? Explain.Answer: No. The outcome in both markets are Pareto efficient. Pareto efficiency is not a concept meant to judge whether one market is better than another market. Instead, it is intended to judge whether an outcome is acceptable, relative what else could have happened within a particular market.Masumi is a Japanese company producing 10,000 pairs of chopsticks every month in Madagascar at the average total cost of $0.8. The manager of the company has found that while the average total cost of producing 3,000 pairs of chopsticks in Japan is $1.2, the average total cost of producing 7,000 pairs of chopsticks in Madagascar is $0.5. Should Masumi shift the production line of 3,000 pairs of chopsticks to Japan? Explain.Answer:If Masumi produces 10,000 pairs of chopsticks in Madagascar, the total cost will be 10,000 $0.8 = $8,000. However, if Masumi moves the production line of 3,000 pairs of chopsticks to Japan and produces 7,000 pairs in Madagascar, the total cost will be 3,000 $1.2 + 7,000 $0.5 = $7,100, which is smaller than $8,000. Therefore, Masumi should shift the production of 3,000 pairs of chopsticks to Japan.Suppose a market for cheap sunglasses is in a long-run competitive equilibrium and that the price is $10. Every producer of sunglasses sells 5,000. A cloudy summer decreases the demand for sunglasses, which causes the market price to change. As a consequence, in the short run, will each firm sell more sunglasses, fewer sunglasses, or the same number of sunglasses? Also, describe what will happen in the long run?Answers: Market demand shifts in, which causes the market price to drop. In the short run, each individual firm will produce fewer than 5,000 sunglasses (they will slide down and to the left along the marginal cost curve). In the long run, some firms will exit, which will shift the supply curve to the left, until the price rises back to $10. Each firm will return to producing 5,000 sunglasses.The equilibrium rent in a town is $500 per month and the equilibrium number of apartments is 100. The city now passes a rent control law that sets the maximum rent at $400. The diagram below summarizes the supply and demand for apartments in this city.Use the figure to complete the table belowBefore Rent ControlAfter Rent ControlChangeConsumer SurplusProducer SurplusSocial SurplusUse your answers to part (a) of this problem to answer the following questions: Did consumer surplus definitely rise, definitely remain constant, definitely fall, or is the direction of the change in consumer surplus unclear? Did producer surplus definitely rise, definitely remain constant, definitely fall, or is the direction of the change in producer surplus unclear? Did social surplus definitely rise, definitely remain constant, definitely fall, or is the direction of the change in social surplus unclear?Answer:The completed table is as follows:Before Rent ControlAfter Rent ControlChangeConsumer SurplusI + III + IIIIII – IIProducer SurplusIII + IV + VV– III – IVSocial SurplusI + II + III + IV + VI + III + V– II – IVAs shown in the table:The change in consumer surplus is III – II and so it is not clear if consumer surplus rose or fell. The consumers who rent those 60 apartments that are available under rent control are better off because they now pay $400 per month instead of $500; this benefit is area III. But the people who cannot find an apartment under rent control are worse off. They lose the consumer surplus they realized from the 40 apartments that are no longer available as a result of rent control; this loss is area II.Suppliers are unambiguously worse off as a result of price controls. They receive $400 per month instead of $500 per month for each of the 60 apartments they continue to offer under rent control (area III) and they lose the producer surplus they realized from the 40 apartments they no longer offer (area IV).Total surplus falls by the sum of II (lost consumer surplus from the 40 apartments that are no longer offered) and IV (lost producer surplus from those 40 apartments).According to reports in the Chinese media, commuters in Beijing are facing a somewhat paradoxical situation: they find it difficult to get a cab while hundreds of cabs lie idle during rush hour. The demand for taxis in Beijing has increased as average incomes have risen. Government-determined gasoline prices have also increased. But the government, worried about rising prices, has left the fares cabs can charge their customers unchanged. Use supply and demand curves to explain what has happened in the market for cabs in Beijing. Based on your understanding of how the invisible hand works, what do you think should be done to correct this problem? Answers: The following diagram shows the demand and supply curves for cabs in Beijing. The increase in demand causes the demand curve to shift to the right. Since gasoline prices have increased, the cost of running a cab in Beijing has also increased. This will shift the supply curve to the left. The equilibrium quantity may or may not change depending on the degree to which both curves shift but the equilibrium price in the market will increase. However, since the government does not allow cab fares to increase, the number of cabs demanded exceeds the supply. This explains why commuters are unable to find a cab when they need one. As can be seen in the figure, the increase in demand and decrease in supply have actually increased the equilibrium price from P to P’. The equilibrium quantity should also have increased from Q to Q’. The distance between Q0 and Q1 shows the extent by which demand exceeds supply as a result of the price control. 243840036830Market for Cab Rides00Market for Cab RidesAn increase in demand combined with a decrease in supply implies an increase in price. Therefore, to fix this problem, the cab fare must be allowed to increase. For the market to be in equilibrium, fares must be allowed to increase to P’. At this price, quantity supplied will equal demand at the quantity demanded.See and Ashley is willing to pay $7, Bill is willing to pay $5, and Carrie is willing to pay $1.Sketch demand.Write out the demand schedule for each integer price up to $8 ($0, $1, $2, …$8)Find Consumer Surplus if price is $2.What if another buyer shows up who is “willing to pay any amount” for one unit. If we take her word at face value, what does the new demand look like?Answers:See diagram.To fill out the table, you can pick numbers off the graph, or ask yourself: Given those willingness-to-pay values, how many people (between Ashley, Bill, and Carrie) would want to buy? Finally, when the price is exactly equal to a person’s willingness to pay, by definition this person is indifferent between buying and not buying. Thus, there is more than one right answer to the question “what is quantity demanded?”Price (P)Quantity (Q)$03$12 to 3$22$32$42$51 to 2$61$70 to 1$80Consumer surplus can either be viewed as an area or as the sum of some numbers. In this case it is the surplus that Ashley enjoys ($7 - $2 = $5) and the surplus that Bill enjoys ($5 - $2 = $3), or $8 total.This shifts the entire demand one unit to the right: ................
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