ECON1101: Week 3 Tutorial 2

7/30/2019 ECON1101: Week 3 Tutorial 2

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Chapter 2 Comparative advantage: the basis for trade

Answers to review questions

1 An individual has a comparative advantage in the production of a particular good if she

can produce it at a lower opportunity cost than other individuals. An individual has anabsolute advantage in the production of a good if she can produce more of that goodthan another individual, using comparable amounts of time, raw materials and effort.

2 False. Even if one individual is absolutely better at producing all goods than is anotherindividual, he can not be relatively better at producing all goods. The principle ofcomparative advantage suggests that specialising in producing goods in which you havea relative advantage, or in which you have the smallest absolute disadvantage willincrease the amount of goods available. This means that potentially everyone can be

better off. By exchanging goods with others, individuals can get a preferred mix ofgoods.

3 There is a very close relationship between individuals opportunity costs of producinggoods and the term on which they will agree to exchange, or trade, them. For example,an individual who has a comparative advantage in producing a good (say, good X) willnot agree to trade a unit unless the amount they receive of the second good (say, goodY) is at least as much as they could produce themselves were they to move some oftheir own productive resources out of producing X and into producing Y. Similarly, anindividual who has a comparative disadvantage at producing good X will not agree toexchange Y for a unit of X unless it costs them less than the opportunity cost (in termsof foregone Y) of producing a unit of X themselves. Hence individuals opportunitycosts effectively put bounds on the rate at which one good will be exchanged foranother.

4 False. The downward slope of the production possibilities curve (PPC) implies thatthere is an opportunity cost associated with producing more of each good. Anincreasing opportunity cost is depicted by a PPC that is bowed away from the origin. Astraight-line PPC depicts a constant opportunity cost of producing both goods.

5 A reduction in the number of hours worked each day will shift all points on the PPCinward, towards the origin.


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Technological innovations that boost labour productivity will shift all points on thePPC curve outward, away from the origin.

6 Failure to specialise means failure to exploit the wealth-creating possibilities of theprinciple of comparative advantage. Wealthy people buy most of their goods andservices from others, not because they can afford to do so but because the highopportunity cost of their time makes performing their own services too expensive.

7 The fact that New Zealand is a world leader in the production of tourism servicesreflects the fact that it is richly endowed with interesting geographical features andnatural beauty. Australia has built on its long history and experience as a world leaderin mineral production to develop a comparative advantage in mining technology and

information systems.


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Answers to problems

1 In the time it takes Ted to wash a car he can wax one-third of a car. Thus, theopportunity cost to Ted of washing one car is one-third of a wax job. In the time it takesDan to wash a car, he can wax one-half of a car. The opportunity cost to Dan of

washing one car is one-half of a wax job. Because Teds opportunity cost of washing acar is lower than Dans, Ted has a comparative advantage in washing cars.

2 In the time it takes Ted to wash a car he can wax three cars. Thus, the opportunity costto Ted of washing one car is three wax jobs. In the time it takes Dan to wash a car, hecan also wax three cars; the opportunity cost to Dan of washing one car is three wax

jobs. Because Dans opportunity cost of washing a car is thesame as Teds, neither hasa comparative advantage in washing cars. In the special case where neither person has acomparative advantage, there will be no gains from specialisation and trade.

3 In the time it takes Nancy to complete a set of tutorial questions, she can write one-halfof an assignment. Thus, the opportunity cost to Nancy of completing a set of tutorial

questions is one-half of an assignment. In the time it takes Lucy to complete a set oftutorial questions, she can write one-third of an assignment; the opportunity cost toLucy of completing a set of tutorial questions is one-third of an assignment. BecauseLucys opportunity cost of completing a set of tutorial questions is lower than Nancys,Lucy has a comparative advantage in completing a set of tutorial questions. That meansthat Nancy has a comparative advantage in writing assignments. Nancy also has anabsolute advantage over Lucy in writing assignments, since it takes her two hours lessthan it takes Lucy to perform that job. Since each takes the same amount of time tocomplete a set of tutorial questions, neither person has an absolute advantage in thattask.

4 a

0

32

64

Dresses

per day

Loaves of bread

per day

b The equation for Helens PPF is D = 32 0.5B. Note that the opportunity cost ofa loaf of bread for Helen is equal to one half of a dress, which is the absolutevalue of the slope of the PPF.


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c Point i is unattainable. Point ii is efficient and attainable. Point iii is attainable butinefficient.

5 a The new machine doubles the value of the vertical intercept of Helens PPC, butleaves the horizontal intercept unchanged.

0

32

64

Dresses

per day

Loaves of bread

per day

64

b The equation for Helens new PPF is D = 64 B. The absolute value of the slope ofHelens PPF has increased, reflecting the fact that the opportunity cost of a loaf of

bread has increased from one half of a dress to one dress.

c The upward rotation of Helens PPC means that, for the first time, she is now able toproduce at any of the points in the shaded region. Not only has her menu of opportunity

increased with respect to dresses, but it has increased with respect to bread as well.


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6 a i Their maximum possible coffee output is 36 kilos per day (12 from Peng,24 from Jara).

ii Their maximum possible output of nuts is also 36 kilos per day (12 fromJara, 24 from Peng).

iii Peng should be sent to pick nuts, since his opportunity cost (half a kilo ofcoffee per kilo of nuts) is lower than Jaras (two kilos of coffee per kilo ofnuts). Since it would take Peng only one hour to pick four kilos of nuts, hecan still pick 10 kilos of coffee in his five working hours that remain.Added to Jaras 24 kilos, they will have a total of 34 kilos of coffee per day.

iv Jara should pick coffee, since her opportunity cost (half a kilo of nuts perkilo of coffee) is lower than Pengs (two kilos of nuts per kilo of coffee). Itwill take Jara two hours to pick eight kilos of coffee, which means that shecan still pick eight kilos of nuts, giving a total between them of 32 kilos perday of nuts.

v To pick 26 kilos of nuts per day, Peng should work full time picking nuts(24 kilos per day) and Jara should spend one hour per day picking nuts (twokilos per day). Jara would still have five hours available to devote to coffee

picking, so she can pick 20 kilos of coffee per day.

b i The point (12 kilos of nuts per day, 30 kilos of coffee per day) can beproduced by having Jara work full time picking coffee (24 kilos of coffeeper day) while Peng spends 3 hours picking coffee (6 kilos of coffee) and 3hours picking nuts (12 kilos of nuts). The point (24 kilos of coffee per day,24 kilos of nuts per day) can be achieved if each works full time at his orher activity of comparative advantage. Both points are attainable and

efficient.ii The points and the straight lines connecting them are shown in the diagram

below. The resulting line is the production possibilities curve for the two-person economy consisting of Jara and Peng. For any given quantity ofdaily nut production on the horizontal axis, it shows the maximum possibleamount of coffee production on the vertical axis.


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iii By specialising completely, they can produce 24 kilos of coffee per day and24 kilos of nuts (the point at which the kink occurs in the PPC in thediagram). If they sell this output in the world market at the stated prices,they will receive a total of $96 per day.

iv With $96 per day to spend, the maximum amount of coffee they could buyis 48 kilos per day. Alternatively, they could buy 48 kilos per day of nuts.Forty kilos of nuts would cost $80, and eight kilos of coffee would cost$16, so they would have just enough money ($96 per day) to buy thiscombination of goods.

v With the ability to buy or sell each good at $2 per kilo in world markets,Peng and Jara can consume as many as 48 kilos per day of coffee (point Ein the diagram below), or as many as 48 kilos of nuts (point F). We havealso seen that point G (40 kilos of nuts per day, eight kilos of coffee perday) is an attainable point, and they can still attain point C (24 kilos of eachgood), even without trading in world markets. Their new menu of

consumption possibilities is shown by the straight line EF in the diagram.This menu is called their consumption possibilities curve. Note how theability to trade in world markets expands their consumption possibilitiesrelative to their previous position.

Coffee

(kg/day)

Nuts

Consumption possibilities curvewith world markets

48

36

24

0 24 36 40 48

G

E

A

C

FB


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Chapter 8 International trade and trade policy

Answers to review questions

1 The figure below shows the PPC for a four-worker economy. Point A, the verticalintercept, shows the maximum number of hot dogs the economy can produce (with allfour workers producing only hot dogs). Similarly, point B, the horizontal intercept,shows the maximum number of hamburgers that can be produced. In the region AC,only the worker with the greatest comparative advantage in producing hamburgers ismaking hamburgers; the slope of that segment reflects that workers opportunity cost,in terms of hot dogs forgone per hamburger produced. In region CD, the first worker is

producing only hamburgers and the worker with the second greatest comparativeadvantage has also begun to produce hamburgers. The slope in region CD equals theopportunity cost of hamburgers of the second worker. Similarly, the slope of DEmeasures the opportunity cost of hamburgers of the worker with the third greatestcomparative advantage in hamburgers, and the slope of EB reflects the opportunity cost

of the worker with the greatest opportunity cost of producing hamburgers.

2 Consumption possibilities are the combinations of goods and services that the citizensof a country can feasibly consume. In a closed economy, which does not trade, peoplecan only consume what is produced domestically; that is, consumption possibilitiesequal domestic production possibilities. In an open economy, domestically producedgoods can be exported in exchange for goods produced abroad. In an open economy,consumption possibilities are usually greater than, and are never less than, theeconomys production possibilities.


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Answers to problems

1 a As shown below, the economy can produce a maximum of 1000 TVs or

100 000 bushels of corn per day (see points A and B). Since it takes 100 timesmore work to produce a TV than a bushel of corn, the opportunity cost of corn is

0.01 TVs per bushel. The slope of the PPC at each point equals the opportunitycost of producing the good on the horizontal axis in terms of the good on thevertical axis. This opportunity cost is constant, so the PPC has a constant slopeand is just a straight line connecting points A and B. If the economy does nottrade, the combinations of TVs and corn represented by the PPC shown below arealso the consumption possibilities of the country; that is, the country can consumeonly those combinations that it can produce.

b The opportunity cost of producing corn for the industrialised economy is 0.1TVs/bushel, so it is the developing economy that has the comparative advantagein producing corn. The developing economy should produce only corn and tradeit for TVs at the rate of ten bushels per TV set (the opportunity cost of a TV in the

large country). The maximum number of TVs the developing country couldconsume is 10 000, shown as point D in the figure above. The developingcountrys consumption possibilities lie along the line DB, whose slope (0.1TVs/bushel) reflects the rate at which corn can be traded for TVs. Comparing DBwith AB, you can see that the developing country greatly improves itsconsumption possibilities by trading with the industrialised country.


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2 a Suppose the PPC is drawn with coffee on the vertical axis and tyres on thehorizontal axis (see figure below). Carlos and Maria can produce between them250 kilos of coffee per week, or 12 500 kilos per year. So 12 500 is the verticalintercept of the PPC (point A). Similarly, if Carlos and Maria produce only tyres,they can produce 2 tyres per week or 100 tyres per year (point B).

Opportunity costs are100 kilos coffee/tyre for Carlos and150 kilos coffee/tyrefor Maria, so Carlos has the lower opportunity cost of producing tyres. Thus,starting from point A where the economy is producing only coffee, Carlos will bethe first worker to produce tyres. The slope of the PPC starting at point A equalsCarloss opportunity cost (100 kilos coffee/tyre). At the point where Carlos has

just reached his limit in tyre production (point C), the economy is producing 50tyres (by Carlos) and 7500 kilos of coffee (by Maria). Beyond point C, Mariamust produce tyres if the economy is to expand tyre production further. The slope

between point C and point B reflects Marias opportunity cost of tyres (150 kilosper tyre). If both workers specialise according to their comparative advantage,

they will produce a total of 50 tyres and 7500 kilos of coffee (point C).

b The opportunity cost of a tyre on the world market, 125 kilos per tyre, liesbetween the opportunity costs of Carlos and Maria. Consumption possibilities areshown in the figure above by a straight line with slope 125 kilos coffee per tyre,which touches the PPC at point C. Brazil should produce at point C and tradetoward its desired consumption combination. For example, if Brazil wants moretyres, Marias coffee can be traded for tyres at the rate of 125 kilos per tyre. If allof Marias coffee is traded for tyres, total tyre consumption in Brazil equals the50 tyres produced by Carlos at point C plus the 7500/125 = 60 tyres obtained inexchange for Marias coffee, for a total of 110 tyres. 110 tyres is thus the

horizontal intercept of the consumption possibilities line. If Brazil wants morecoffee, Carloss tyres should be traded abroad for coffee at the rate 125 kilos per


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tyre. If Brazil consumes only coffee, it will be able to consume 7500 kilos

produced by Maria at point C plus 50 125 = 6250 kilos obtained by tradingCarloss tyres for coffee, giving a total of 13 750 kilos (the vertical intercept ofthe consumption possibilities line). We saw in part a that the maximum amount ofcoffee Brazil can consume without trade is 12 500 kilos, and the maximum

number of tyres is 100. Thus trade enhances Brazils opportunities to consumeboth goods.

c If a tyre can be purchased on the international market for 80 kilos of coffee, bothCarlos and Maria should specialise strictly in coffee, as both have an opportunitycost greater than 80 kilos of coffee per tyre. The figure below shows Brazils PPC(as derived in part a) and its consumption possibilities (assuming 80 kilos ofcoffee trades for one tyre). Because Brazil has a comparative advantage in coffeeeven when fully specialised in coffee, the maximum amount of coffee it canconsume is not increased by the opportunity to trade (the consumption

possibilities line intersects the PPC at point A below). However, Brazil can nowconsume as many as 12 500/80 = 156.3 tyres by trading all its coffee for tyres(point D below).


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3 Weekly production for the three workers is as follows:

Carlos Maria Pedro

Coffee (kilos) 100 150 140

or

Tyres (number) 1 1 1

Carloss opportunity cost of producing a tyre is 100 kilos of coffee,Marias is 150 kilosof coffee, and Pedros is 140 kilos of coffee. Thus Carlos has the greatest comparativeadvantage (lowest opportunity cost) of producing tyres, Pedro has the next lowestopportunity cost, and Maria has the highest opportunity cost.

a The PPC in the figure below has three rather than two segments. Let Acorrespond to the vertical intercept, B to the horizontal intercept, and C and D to

the two kink points.If all three workers produce only coffee, they produce 390 kilos per week, times50 weeks, or 19 500 kilos per year (the vertical intercept, point A). If all threeworkers produce only tyres, they produce three tyres per week, times 50 weeks,or 150 tyres (the horizontal intercept, point B).

The slopes of the three segments correspond to the opportunity costs of the threeworkers in producing tyres, starting with the lowest opportunity cost (Carlos) aswe read from left to right. The slope of segment AC is 100 kilos/tyre, Carlossopportunity cost; the slope of segment CD is 140 kilos/tyre, Pedros opportunitycost; and the slope of segment DB is 150 kilos/tyre, Marias opportunity cost.Thus the PPC has the typical bowed shape.


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b If the opportunity cost of a tyre on the world market is 125 kilos of coffee, Carlosshould continue to produce tyres, as his opportunity cost is less than 125 kilos;

but Pedro and Maria, whose opportunity costs exceed 125 kilos of coffee per tyre,should produce only coffee.

If Brazil wishes to consume only tyres, Pedro and Maria should trade their 290 50 = 14 500 kilos of coffee production for tyres, receiving 14 500/125 = 116 tyresin exchange. Together with 50 tyres produced by Carlos, this gives Brazil amaximum tyre consumption of 166 tyrers, more than the 150 tyres Brazilians canconsume in autarky (see part a). If Brazil wishes to consume only coffee, Carlos

should trade his fifty tyres for 50 125 = 6250 kilos of coffee. Together with the14 500 kilos produced by Pedro and Maria, this yields a maximum coffeeconsumption of 20 750 kilos of coffee, compared to 19 500 kilos of coffee peryear without trade.

c If a tyre trades for 200 kilos of coffee, all three workers should produce tyres,since all have opportunity costs lower than 200 kilos per tyre. The maximum

number of tyres Brazil can consume equals its maximum production of 150 tyres(it doesnt pay to produce coffee to trade for tyres). Thus, access to internationalmarkets will not increase the number of tyres that Brazilians can consume.However, if the three workers want to consume only coffee, they can trade their

150 tyres for 200 150 = 30 000 kilos of coffee, much more than the 19 500kilos they can produce on their own.


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4 a A foreign worker can produce 500 shoes at $10 each or one robot at $5000.

As there are no other costs, foreign workers earn $5000 per year in eitherindustry.

b The opportunity cost of a robot in Australia is 1000/10 = 100 pairs of shoes,while the opportunity cost of a robot abroad is 500 pairs of shoes. Australiatherefore has a comparative advantage in robots; it will export robots and importshoes.

c Australia specialises in robots. Each Australian worker can produce 10 robots at$5000 each, giving an annual income of $50 000. In terms of goods, after theopening of trade an Australian workers annual income will buy $50 000/$5000 =10 robots or $50 000/$10 = 5000 pairs of shoes. Before the opening to trade, anAustralian workers income would buy $30 000/$3000 = 10 robots or $30000/$30 = 1000 pairs of shoes. So buying power in terms of robots is unchanged

but in terms of shoes it has increased fivefold. Even though they are trading withforeign workers who earn 1/10 of the Australians income, Australian workers aremade better off by trade.

d The answer might change if it were costly for workers in the Australian shoeindustry to switch to the robot industry. Australian shoe workers are much worseoff when shoes sell for only $10 instead of $30. The best policy response,however, is not to block trade (which increases consumer buying power in bothAustralian and abroad) but to provide assistance to the shoe workers who mustswitch to producing robots.

5 a To find the price of a car, set demand equal to supply:

12 000200P= 7000 + 50P

5000 = 250P

P= 20

b At a world price of 18 units, domestic demand is 12 000200(18) = 8400 cars,and domestic supply is 7000 + 50(18) = 7900 cars. The difference (500 cars) must

be imported. Because the world price of cars is lower than the domestic price,domestic consumers will favour the opening to trade and domestic car producerswill oppose it.

c The domestic price of cars is now equal to the world price plus the tariff; that is,18 + 1 = 19 units. Demand is 12 000 200(19) = 8200 and supply is 7000 +50(19) = 7950. The difference, 250 cars, is imported (so imports have fallen). Thetariff raises the domestic price so domestic consumers will oppose it and domesticcar producers will support it. The government benefits from the tariff, as it

collects 1 unit 250 cars = 250 units of tariff revenue.

d Suppose the government imposes a quota of 250 imported cars (the same numberof imports as in part c). In this case, supply equals domestic supply plus 250, or7250 + 50P, and demand equals 12 000 200Pas before. Setting demand equalto supply, we get:

12 000200P

= 7250 + 50P

4750 = 250P


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P= 19

The domestic price is now the same as with the tariff (part c); and therefore, soare domestic production and demand. Imports are also the same, at 250, byassumption. The quota produces the same results in the domestic market. Theonly difference with the tariff is that the government does not collect the tariffrevenue; these extra profits go instead to the holders of the import licenses.

6 a The world price of cars is 16 units. With free trade, the domestic price will

also equal 16 units. Domestic demand will be 12 000200(16), or 8800 cars; anddomestic supply will be 7000 + 50(16), or 7800 cars. The difference, 1000 cars,will be imported.

b The foreign companies are asked to limit their exports to 500 cars. Total supply tothe domestic market is thus equal to the domestic supply plus 500, or 7500 + 50P.Demand remains at 12 000 200P. Setting demand equal to supply, we can findthe domestic equilibrium price after the imposition of the voluntary export

restraint (VER):12,000 200P = 7,500 + 50P

4,500 = 250P

P = 18

Thus, the domestic price of cars rises from 16 to 18 units. The domestic supply ofcars is 7000 + 50(18) = 7900, and the domestic demand for cars is 12 000 200(18) =8400. The difference (500 cars) is imported, consistent with theassumed level of voluntary export restrictions by foreign producers.

c Foreign car companies now receive 18 rather than 16 units for their cars.Production costs are 15 units, so the companies profit is 3 units per car times 500cars sold, or 1500. Before the VER their profit was 1 unit per car times 1000 cars,or 1000. The VER actually raises the total profits (as well as the profit per car) offoreign producers.

7 The more inelastic demand is, the smaller the effect will be of the price increaseexperienced as a result of a tariff on quantity consumed domestically. Thisimplies a smaller deadweight loss associated with domestic consumers changingtheir consumption in favour of the countrys export good than would be the casewere demand more elastic.


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ECON1101: Week 3 Tutorial 2

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