Preview Extract
Chapter 2
Scarcity and the World of Trade-Offs
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Overview
This chapter introduces the central concept of economics, scarcity. It is the existence of scarcity that
requires people to make choices, both individually and collectively. Along with the concept of scarcity,
the chapter introduces the tools that economists use to analyze choice. These are the concepts of
opportunity costs, trade-offs, and the production possibilities model. The production possibilities model is
used not only to analyze trade-offs but also to illustrate economic growth and the implications of an
inefficient use of resources. Specialization is introduced along with a discussion of the basis for trade,
comparative advantage.
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Learning Objectives
After studying this chapter students should be able to:
๏ท 2.1 Evaluate why everyone, whether poor or affluent, faces the problem of scarcity
๏ท 2.2 Explain why the scarcity problem causes people to consider opportunity costs and trade-offs
among choices
๏ท 2.3 Discuss why obtaining increasing increments of any particular good typically entails giving up
more and more units of other goods
๏ท 2.4 Explain why the economy faces a trade-off between consumption goods and capital goods
๏ท 2.5 Distinguish between absolute and comparative advantage
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Outline
I.
Scarcity: Scarcity is a situation in which the ingredients for producing the things that people desire
are insufficient to satisfy all wants at a zero price. It exists in all societies and at all income levels
because human wants exceed what can be produced with the limited resources and time that nature
makes available.
A. What Scarcity Is Not: Scarcity is not a shortage. It is also not poverty. High incomes do not
reduce scarcity.
B. Scarcity and Resources: Resources or factors of production are inputs used in the production
of things that people want. Production is any activity that results in the conversion of resources
into products that can be used in consumption.
1. Land: Land is often called the natural resource and consists of all the gifts of nature.
2. Labor: Labor is the human resource that includes all productive contributions made by
individuals who work and involves both mental and physical activities.
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3.
Physical Capital: Capital is all manufactured resources that are used for production. It
also includes improvements to natural resources, such as irrigation ditches.
4. Human Capital: The accumulated training and education workers receive that increases
their productivity.
5. Entrepreneurship: Human resources that perform the functions of organizing, managing,
and assembling the other factors of production to create and operate business ventures and
that take the risks associated with introducing new methods and other types of new
thinking that could lead to more monetary income.
C. Goods versus Economic Goods: All things from which individuals derive satisfaction or
happiness.
1. Economic Goods: Goods that are scarce. The quantity of such goods desired exceeds the
quantity that is available at a zero price.
2. Services: Mental or physical labor or help purchased by consumers. They can be viewed as
intangible goods.
D. Wants and Needs: Needs are not objectively definable. Perhaps the best way to view a need is
as an absolute necessity to stay alive. Wants refer to desired goods and are unlimited.
II.
Opportunity Cost, Trade-Offs, and Choices: Scarcity requires choices be made. When one
choice is made, then another is given up.
A. Valuing Forgone Alternatives: Only the individual can determine the value of each choice
that is available.
B. Opportunity Cost: The highest valued, next-best alternative that must be sacrificed for the
choice that was made. In economics, cost is always a forgone opportunity.
C. The World of Trade-Offs: Whenever you engage in any activity using any resource you are
trading off the use of that resource for one or more alternative uses. For example, the more time
that is devoted to studying economics, the less time that can be devoted to studying
mathematics. Thus, a higher grade in economics has a โcostโ of a lower mathematics grade.
(See Figure 2-1.)
D. Graphical Analysis: How Figure 2-1 is set up is explained.
E. The Production Possibilities Curve (PPC): A curve representing the maximum possible
combinations of total output that could be produced assuming a fixed amount of resources of a
given quality.
1. Production Possibilities for Course Grades: A straight-line production possibilities
curve can show the opportunity cost of studying one more hour in one subject in terms of a
change in the grade of another subject. (See Figure 2-1.)
2. Measuring Trade-Offs Along a Production Possibilities Curve: A movement from one
point to another on the PPC shows that some of one good must be given up to have more of
another. (See Figure 2-1.)
III. The Economic Choices a Nationโs People Face: The production possibilities curve does not in
practice have constant trade-offs of one good for another and is typically a curve that is bowed
outward. (See Figure 2-2.)
A. A Two-Good Example
B. Production Trade-Offs (See Figure 2-2.)
C. Assumptions Underlying the Production Possibilities Curve:
1. Resources are fully employed.
2. Production takes place over a specific time periodโfor example, one year.
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3.
4.
Resources are fixed in both quantity and quality.
Technology does not change over this period of time.
a. Technology is defined as societyโs pool of applied knowledge concerning how goods
and services can be produced.
D. Being off the Production Possibilities Curve: Any point outside the PPC cannot be reached
for the time period assumed. Any point inside the PPC is attainable, but resources are not being
fully utilized. (See Figure 2-2.)
E. Efficiency: The case in which a given level of inputs is used to produce the maximum output
possible. It is also a situation in which a given output is produced at a minimum cost. An
economy is efficient when it is on its PPC. An inefficient point is any point below the
production possibilities curve.
F. The Law of Increasing Additional Cost: The fact that the opportunity cost of additional units
of a good generally increases as society attempts to produce more of that good. This accounts
for the bowed-out shape of the production possibilities curve. (See Figure 2-3.)
1. Increasing Additional Costs: As society takes more and more resources and applies them
to the production of any one item, the opportunity cost increases for each additional unit
produced. This law is illustrated by the PPC being bowed outward.
2. Explaining the Law of Increasing Additional Cost: The more highly specialized
resources are, the more bowed outward the PPC will be.
IV.
Economic Growth, Production Possibilities, and the Trade-Off between Present and Future
A. Economic Growth and the Production Possibilities Curve: Economic growth is illustrated
by an outward shift of the production possibilities curve. (See Figure 2-4.)
B. The Trade-Off between the Present and the Future
1. Why We Make Capital Goods: Capital goods are one of societyโs resources. Producing
more of them allows a society to produce more of all types of goods.
2. Forgoing Current Consumption: When existing resources are used to produce capital
goods, we are forgoing current consumption. When we forgo consumption to invest in
capital goods, we are waiting to consume what will be produced from the use of those
capital goods then.
3. The Trade-Off between Consumption Goods and Capital Goods: To have more
consumer goods in the future, we must produce capital goods today. The more capital
goods that are produced today, the less consumer goods that are produced today. In the
future there will be more consumption goods as the economy grows. (See Figure 2-5.)
V.
Specialization, Comparative Advantage, and Trade: Specialization means working at a relatively
well-defined, limited activity. It means the organization of economic activity so that what each
person or region consumes is not identical to what each person or region produces.
A. Comparative Advantage: The ability to produce a good or service at a lower opportunity cost
compared to other producers. This is the basis for specialization.
B. Absolute Advantage: The ability to produce more units of a good or service using a given
quantity of labor or resource inputs. This is the ability to produce the same quantity of a good
or service using fewer units of labor or resource inputs. This is not the basis for specialization.
1. Absolute Advantage versus Comparative Advantage: Only comparative advantage, not
absolute advantage, matters in determining how people will allocate time and make other
choices.
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2.
Comparative Advantage in Sports: Babe Ruth had an absolute advantage in both hitting
and pitching baseball, but he had a comparative advantage in hitting home runs than pitching.
C. Scarcity, Self-Interest, and Specialization: Persons who are making decisions that further
their self-interest will make choices that maximize the benefits net of opportunity cost. The
result is that they choose their comparative advantage and end up specializing.
D. The Division of Labor: The segregation of a resource into different specific tasks.
E. Comparative Advantage and Trade among Nations: The analysis of absolute advantage,
comparative advantage, and specialization applies equally to nations.
1.
2.
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Trade among Regions: Specialization along lines of comparative advantage in
agricultural products in the plains states and industrial products in the northeastern states
and resulting trade between them allows each region to have higher incomes and living
standards. The result would be the same if the plains states and the northeastern states were
separate countries.
International Aspects of Trade: A producer in one part of the United States must adapt
to improvements in production along lines of comparative advantage by those in another
part. Producers in the United States will try to raise political barriers to trade with foreign
producers by arguing about โunfairโ competition and loss of U.S. jobs.
Points to Emphasize
Graphing
Graphs are usually difficult for students to grasp. It is worthwhile spending some time going over basic
graphing techniques and terminology from the Appendix to Chapter 1 before getting into this chapter.
These pictures of relationships between variables may simply create confusion rather than clarify the
issue being presented. This confusion results when students are trying to figure out where the graph
comes from and what it means to refer to an inverse or positive relationship, while at the same time
trying to make sense of the actual economic analysis.
Scarcity
This is the central concept in economics. All economic analysis derives from this condition. Stress that
scarcity arises because at any given time people want more than their resources will allow them to
consume. The classic way to define scarcity is that wants are unlimited while resources are limited.
Resources or inputs are anything that can be used to produce things people want. It is important to stress
that scarcity is a relative concept. Even though not everyone has โunlimitedโ wants, they usually want
more than they can have at the moment. As income rises, so do wants. Studies by Simon Kuznets and
Milton Friedman provide evidence of this fact. Kuznets found that between 1869 and 1929, real national
income rose by a factor of 4, but the APC remained constant. Friedman reported in The Theory of the
Consumption Function that the APC remains constant even cross-sectionally as income goes from lower
levels to higher levels out of permanent income. Also, poverty in the United States is defined at levels
that would be considered affluent by people in most countries.
Resources
Resources or inputs are things that produce goods and services. At any given time, resources are fixed.
Generally, students will agree that this is so. Thus, at any given time, the amount of goods and services
that can be produced is limited. Over time, resources have increased. Indeed, 150 years ago petroleum
was not even a resource. Today, it is one of the most important resources. Advances in technology allow
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society to use things that were previously not resources. Over time, an increase in resources does not
allow society to eliminate scarcity because, at any given time, resources are fixed while wants are not.
Choice
After the scarcity problem is analyzed, the problem of choice should be presented. Because of scarcity, that
is wants are greater than the means to satisfy these wants (resources), people are forced to choose means
of satisfying these wants. The concepts of opportunity cost, trade-offs, and the production possibilities curve
are introduced. These concepts are often difficult for students to grasp. The production possibilities curve
can be especially troublesome if actual numbers are not presented along with the graph. A successful
method of presenting this model is to use a table of combinations of two goods and fully develop the
model before introducing the graph.
Specialization and Comparative Advantage
After the tools for analyzing choice are developed, the chapter discusses specialization based on
comparative advantage. The relationship between these two is essential to develop because it is the basis
for exchange. A convincing case can be made on an intuitive level that if each person, region, and country
specializes in producing those things that they can produce relatively most efficiently, then it is possible
to increase output without increasing the total amount of resources. Then a more formal demonstration
can be given. A result of specialization is that trade occurs because each economic unit ends up producing
more of something than they want. In some cases, they produce something that they do not consume at
all. Higher incomes and living standards result from specialization and trade based on comparative
advantage.
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For Those Who Wish to Stress Theory
Production Possibilities Curve
An in-depth analysis of the production possibilities curve (PPC) can be especially valuable. In particular,
consider the following:
1.
Rigorously define the PPC: The PPC shows the maximum possible combinations of output of two
goods that can be produced by given resources and technology in a given time period.
2.
Consider the PPC when inputs are equally suited to producing both of the goods. The x and y
intercepts define the maximum quantities of each good that can be had. By connecting these two
points, a linear PPC is derived.
3.
Note that when some resources are better suited to either output, there are two important differences
in the PPC.
a. It is no longer linear. Instead, it is now concave to the origin due to increasing resource cost.
As we move from producing all x to all y, we initially produce units of y by releasing greater
percentages of resources more suited to production of y and smaller percentages of resources
more suited to the production of x. Since only 100 percent of resources exist, we must eventually
release greater percentages of y-suited resources and smaller percentages of x-suited resources
to produce additional units of x.
b. The new PPC lies above the linear PPC except at the x and y intercepts because the new curve
accounts for the fact that inputs are more suitable to producing x or y.
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Further Questions for Class Discussion
1.
In recent years, online news sites such as the ones at MSNBC and Yahoo! have designed a business
model in which they collect stories from the online pages of newspapers and wire services, such as
the Associated Press (AP), and allow free access to the articles for visitors to their Web sites. The
effect has been to decrease newspaper and wire service revenues and profits. As a result,
newspapers and organizations such as the AP have begun to charge or discuss plans to charge
visitors to access to their Web sites or to download their stories. Most users of the news sites of
both the newspapers and sites such as Yahoo! and MSN argue that they should not be charged for
access to these companiesโ Web sites. An interesting question for students is why they believe that
access to news should be free. Then ask them if, in fact, any given news story is a free good or an
economic good in the sense that economists use those terms. Obviously, news stories are economic
goods because scarce resources are used to produce them. Because those resources have alternative
uses, there is an opportunity cost for using them to research and produce news stories.
2.
Does the federal government face a scarcity constraint? In discussions of the federal government,
each interest group wants more spent on its programs and speaks as if the government has virtually
unlimited funds for its program that has some supposed beneficial social impact. The problem is
that the government has fewer funds to allocate than are desired by all of the interest groups. Thus,
wants exceed the ability of the federal government to finance all of these wantsโa clear case of
scarcity. The government does indeed face a scarcity constraint in the form of a limited budget with
which to accomplish its goals. The way this constraint is manifested is in wrangling about budget
priorities. The opportunity cost of more for one program means less for others.
3.
Students will usually agree that specialization along lines of comparative advantage and then trade
is beneficial. Point out Adam Smithโs statement in The Wealth of Nations that no โprudent master
[will] make at home what it will cost him more to make than to buy.โ Consider outsourcing where
American firms have foreign firms produce certain goods or services for them instead of producing
them in the United States. Ask why this is a problem if the foreign firms in fact have comparative
advantage. If trade along lines of comparative advantage allows U.S. companies to buy these goods
and services more cheaply than they can produce them, then why should we want to restrict trade in
them? There will be a reallocation of jobs in the United States as those displaced by outsourcing,
find jobs in activities in which the United States has a comparative advantage. This will usually
generate controversy.
4.
A major political issue revolves around tax policy and its effect on investment and economic
growth. How might increases in taxes on business profits affect economic growth? (Hint:
Investment is inversely related to expected after-tax profits on new investment.) Use the production
possibilities model to explain your answer. Other things being equal, an increase in taxes on profits
will reduce investment spending by decreasing expected after-tax profits. Investment represents
new capital formation, and thus less capital will be produced. The rate of economic growth will be
reduced by higher business taxes, other things being equal.
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Adam Smith (1723โ1790): Scottish Economist
โI have never known much good done by those who affected to trade for the public good,โ Adam Smith
once remarked. If he put little stock in good intentions, Smith did invest heavily in demonstrating that
selfish intentions could lead to public good. In The Theory of Moral Sentiments (1759), his first book,
Smith tried to show how altruism could come out of self-interest. In his second, more famous book, he
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attempted to reveal how the self-interest of private individuals could be transformed by the sleight of an
invisible hand (the unfettered market) into social harmony and public benefit, producing the wealth of the
nation in the best of all possible ways. The result of this effort was An Inquiry into the Nature and Causes
of the Wealth of Nations (1776), perhaps the most influential economics treatise ever written, one that has
set the tone for capitalist ideology for more than two centuries.
As the title indicates, Smith attempted to examine the sources of the wealth of nations. He proposed that
first on the list of sources was the division of labor. Smithโs pin factory example of dramatic increases in
productivity possible through the division of labor has made its mark on virtually every textbook written
on the subject since. He went on to point out that the division of labor does not occur because individuals
possess an overall perception of its ultimate benefit to society. Rather, the division of labor occurs simply
because it is in each individualโs self-interest to specialize and to exchange: โThe natural effort of every
individual to better his own condition, when suffered to exert itself with freedom and security, is so
powerful a principle, that it is alone, and without any assistance . . . capable of carrying on the society
to wealth and prosperity.โ
In addition to Smithโs famous โinvisible handโ theme, the theme of individual economic freedom was
quite strong in The Wealth of Nations. He believed that any governmental attempt to guide or to regulate
actions of individuals in the economic marketplace would end up doing more harm than good. Smith was
especially harsh on legally protected monopolies. Smithโs critics contend that his model may have fit
England at the time he wrote his treatise, but it does not fit industrialized Western countries todayโwhere
the state plays a large role and large corporations have replaced shopkeepers. Nonetheless, for many, The
Wealth of Nations remains a laissez-faire bible, and Smith remains a central figure in the development of
economic thought.
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Answers to Questions for Critical Analysis
Why the โFree Fileโ Tax Services Is Not Really โFreeโ (p. 30)
Why might a person pay a firm at a mall to prepare her tax forms while she shops instead of
allocating the same amount of time to finding a qualifying Free-File tax preparation service?
For some people, the opportunity cost of spending time in finding a qualifying Free-File tax-preparation
service might be higher than their opportunity cost of spending the same amount of time shopping.
An Economic Explanation for Monogamy (p. 32)
What must be true of the trade-off perceived by people who have multiple sex partners?
For people who have multiple sex partners, their opportunity cost of the time required to maintain
involvement with multiple sex partners must be smaller than the opportunity cost of devoting that amount
of time to earning income or the next highest-valued activity.
The Substantial Trade-off of Satisfying U.N. Development Goals (p. 34)
If the U.N. follows through on a proposal to add production targets for 148 more items to its
Sustainable Development Goals, why might we expect that the opportunity cost in terms of other
goods and services that must be forgone could be even greater? Explain briefly.
Because of the law of increasing additional cost, which means a bowed curve for the a nationโs
production possibilities curve, the opportunity cost of adding production targets for more items to the
Sustainable Development Goals must be even greater.
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The Airline Industry Confronts the Law of Increasing Additional Cost (p. 36)
Why might the production possibilities curve relating the number of electronic-gadget-accessory
boxes at passenger seats to the quantity of seats on a plane be bowed? Explain your reasoning.
The bowed shape of the production possibilities curve reflects the fact that existing seats on a plane are
specialized resources.
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You Are There
Reducing the Opportunity Cost of Waiting in Gridlocked Traffic, at a Price (p. 42)
1.
How must the dollar values of the opportunity costs of time compare for a typical purchaser
of a vehicle converted by Becker Automotive, Inc., versus commuters who do not purchase
them? Explain briefly.
Because the prices of those converted vehicles are at least $150,000, which is higher than the price
of a typical vehicle, the opportunity cost of time for Beckerโs customer must be higher than that for
other commuters.
2.
Why do you suppose that economists have estimated the dollar value of the combined
opportunity costs of time that U.S. commuters spend in gridlocked traffic to be in excess of
$150 billion per year? Explain our reasoning.
U.S. commuters spend a total of 7 billion hours per year in gridlocked traffic. The opportunity
cost of that total amount of time can be measured by the amount of income earnings forgone.
Economists can use the average wage rate per hour to arrive at the total dollar value in excess
of $150 billion per year.
๏ฎ Issues & Applications
The U.S. Navy Expands Production Possibilities via a New Technology (pp. 42โ43)
1.
In spite of the lower opportunity cost of rail-gun projectiles instead of missiles, does the U.S.
Navy continue to face an increasing additional cost, in terms of forgone ship production, to
obtain additional weapons? Explain briefly.
Despite the lower opportunity cost of rail-gun projectiles, the U.S. Navyโs production possibilities
curve still bows outward, meaning an increasing additional cost for obtaining more weapons.
2.
Could the U.S. Navy expand its production of both ships and weapons after switching from
missiles to rail-gun weapons? Explain your reasoning. (Hint: Are there points along PPC2
involving combinations of both more ships and more weapons than is feasible at point A
on PPC1?)
Yes, the switch from the production of missiles to rail-gun weapons leaves the U.S. Navy with
resources that can be used for the production of ships and weapons. The U.S. Navyโs production
possibilities curve shifts outward as a result, meaning more production of both ships and weapons.
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Research Project
1.
2.
Learn more about the U.S. Navyโs rail-gun technology in the Web Links in MyEconLab.
Read about how other divisions of the U.S. military also are working on developing rail-gun
technologies in the Web Links in MyEconLab.
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Answers to Problems
25
2-1. Define opportunity cost. What is your opportunity cost of attending a class at 11:00 A.M.?
How does it differ from your opportunity cost of attending a class at 8:00 A.M.?
The opportunity cost of attending a class at 11:00 A.M. is the next-highest-valued use of that hour of
the day. Likewise, the opportunity cost of attending an 8:00 A.M. class is the next-highest-valued
use of that particular hour of the day. If you are an early riser, it is arguable that the opportunity
cost of the 8:00 A.M. hour is lower because you will already be up at that time, but have fewer
choices compared with the 11:00 A.M. hour when shops, recreation centers, and the like are open. If
you are a late riser, it may be that the opportunity cost of the 8:00 A.M. hour is higher, because you
place a relatively high value on an additional hour of sleep in the morning.
2-2. If you receive a ticket to a concert at no charge, what, if anything, is your opportunity cost of
attending the concert? How does your opportunity cost change if miserable weather on the
night of the concert requires you to leave much earlier for the concert hall and greatly
extends the time it takes to get home afterward?
The opportunity cost of attending the concert is the next-highest-value use of the time spent at the
concert. If bad weather extends the amount of time spent on an evening at the concert, then there is
an additional opportunity cost in the form of the next-best uses of that additional time.
2-3. You and a friend decide to spend $100 each on concert tickets. Each of you alternatively could
have spent the $100 to purchase a textbook, a meal at a highly rated local restaurant, or several
Internet movie downloads. As you are on the way to the concert, your friend tells you that if she
had not bought the concert ticket, she would have opted for a restaurant meal, and you reply
that you otherwise would have downloaded several movies. Identify the relevant opportunity
costs for you and your friend of the concert tickets that you purchased. Explain briefly.
The opportunity cost is the cost of the single, next-highest-valued foregone alternative to the $100
spent on the concert ticket, which for your friend was a restaurant meal she otherwise could have
purchased and which for you was movie downloads that you otherwise could have bought.
2-4. After the concert discussed in Problem 2-3 is over and you and your friend are traveling
home, you discuss how each of you might otherwise have used the four hours devoted to
attending the concert. The four hours could have been used to study, to watch a sporting
event on TV, or to get some extra sleep. Your friend decides that if she had not spent four
hours attending the concert, she would have chosen to study, and you reply that you otherwise
would have watched the televised sporting event. Identify the relevant opportunity costs for
you and your friend for allocating your four hours to attending the concert. Explain briefly.
The opportunity cost is the cost of the single, next-highest-value forgone alternative to the four
hours spent attending the concert, which for your friend was time that she otherwise could have
devoted to study and for you was time that you otherwise could have spent watching the sporting
event on television.
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2-5. Recently, a woman named Mary Krawiec attended an auction in Troy, New York. At the
auction, a bank was seeking to sell a foreclosed property: a large Victorian house suffering
from years of neglect in a neighborhood in which many properties had been on the market for
years yet remained unsold. Her $10 offer was the highest bid in the auction, and she handed
over a $10 bill for a title to ownership. Once she acquired the house, however, she became
responsible for all taxes on the property and for an overdue water bill of $2,000. In addition,
to make the house habitable, she and her husband devoted months of time and unpaid labor
to renovating the property. In the process, they incurred explicit expenses totaling $65,000.
Why do you suppose that the bank was willing to sell the house to Ms. Krawiec for only $10?
(Hint: Contemplate the bankโs expected gain, net of all explicit and opportunity costs, if it had
attempted to make the house habitable.)
The bank apparently determined that the net gain that it anticipated receiving from trying to sell
the house to someone else, taking into account the opportunity cost of resources that the bank
would have had to devote to renovating the house, was less than $10.
2-6. The following table illustrates the points a student can earn on examinations in economics
and biology if the student uses all available hours for study. Plot this studentโs production
possibilities curve. Does the PPC illustrate the law of increasing additional cost?
Economics
100
90
80
70
60
50
40
Biology
40
60
75
85
93
98
100
Each additional 10 points earned in economics costs 10 additional points in biology, so this PPC
illustrates constant additional opportunity costs. It does not satisfy the law of increasing relative cost.
2-7. Based on the information provided in Problem 2-6, what is the opportunity cost to this
student of allocating enough additional study time on economics to move her grade up from a
90 to a 100?
If the student allocates additional study time to economics in order to increase her score from 90 to 100, her
biology score declines from 50 to 40, so the opportunity cost of earning 10 additional points in economics is
10 fewer points in biology.
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2-8. Consider a change in the table in Problem 2-6. The studentโs set of opportunities is now as
follows: Does the PPC illustrate the law of increasing additional cost? What is the opportunity
cost to this student for the additional amount of study time on economics required to move
her grade from 60 to 70? From 90 to 100?
Economics
100
90
80
70
60
50
40
Biology
40
50
60
70
80
90
100
Each additional 10 points earned in economics costs a greater number of biology points. For instance,
the opportunity cost to the student of increasing points earned in economics from 60 to 70 is 8 points
forgone in biology, but the opportunity cost of increasing economics points from 90 to 100 rises to 20
points forgone in biology. Thus, the new PPC illustrates the law of increasing relative cost.
2-9. Construct a production possibilities curve for a nation facing increasing opportunity costs for
producing food and video games. Show how the PPC changes given the following events.
a. A new and better fertilizer is invented.
b. Immigration occurs, and immigrantsโ labor can be employed in both the agricultural
sector and the video game sector.
c. People invent a new programming language that is much less costly to code and is more
memory-efficient.
d. A heat wave and drought result in a 10 percent decrease in usable farmland.
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2-10. During a debate on the floor of the U.S. Senate, Senator Creighton states, โOur nation
should not devote so many of its fully employed resources to producing capital goods
because we already are not producing enough consumption goods for our citizens.โ
Compared with the other labeled points on the diagram, which one could be consistent
with the current production combination choice that Senator Creighton believes the nation
has made?
Point C
2-11. In response to Senator Creightonโs statement reported in Problem 2-10, Senator Long replies,
โWe must remain at our current production combination if we want to be able to produce
more consumption goods in the future.โ Of the labeled points on the diagram, which one
could depict the future production combination Senator Long has in mind?
Point D
2-12. Senator Borman interjects the following comment after the statements by Senators Creighton
and Long reported in Problems 2-10 and 2-11: โIn fact, both of my esteemed colleagues are
wrong, because an unacceptably large portion of our nationโs resources is currently
unemployed.โ Of the labeled points on the diagram, which one is consistent with Senator
Bormanโs position?
Point A
2-13. A nationโs residents can allocate their scarce resources either to producing consumption
goods or to producing human capitalโthat is, providing themselves with training and
education. The table at the top of next column displays the production possibilities for this
nation:
a. Suppose that the nationโs residents currently produce combination A. What is the
opportunity cost of increasing production of consumption goods by 10 units? By 60 units?
b. Does the law of increasing additional cost hold true for this nation? Why or why not?
ยฉ2018 Pearson Education, Inc.
Chapter 2
Scarcity and the World of Trade-Offs
29
Units of
Production
Consumption
Units of
Combination
Goods
Human Capital
A
0
100
B
10
97
C
20
90
D
30
75
E
40
55
F
50
30
G
60
0
a. If the nationโs residents increase production of consumption goods from 0 units to 10 units, the
opportunity cost is 3 units of human capital forgone. If the nationโs residents increase production
of consumption goods from 0 units to 60 units, the opportunity cost is 100 units of human capital.
b. Yes, because successive 10-unit increases in production of consumption goods generate larger
sacrifices of human capital, equal to 3, 7, 15, 20, 25, and 30.
2-14. Like physical capital, human capital produced in the present can be applied to the production
of future goods and services. Consider the table in Problem 2-13, and suppose that the
nationโs residents are trying to choose between combination C and combination F. Other
things being equal, will the future production possibilities curve for this nation be located
farther outward if the nation chooses combination F instead of combination C? Explain.
No, because combination F entails production of less human capital than combination C, so choosing
combination F today would result in a smaller output shift in the production possibilities curve than
would be experienced if combination C were chosen instead.
2-15. You can wash, fold, and iron a basket of laundry in two hours and prepare a meal in one
hour. Your roommate can wash, fold, and iron a basket of laundry in three hours and
prepare a meal in one hour. Who has the absolute advantage in laundry, and who has an
absolute advantage in meal preparation? Who has the comparative advantage in laundry, and
who has a comparative advantage in meal preparation?
Because it takes you less time to do laundry, you have an absolute advantage in laundry. Neither
you nor your roommate has an absolute advantage in meal preparation. You require 2 hours to
fold a basket of laundry, so your opportunity cost of folding a basket of laundry is 2 meals. Your
roommateโs opportunity cost of folding a basket of laundry is 3 meals. Hence, you have a comparative
advantage in laundry, and your roommate has a comparative advantage in meal preparation.
2-16. Based on the information in Problem 2-15, should you and your roommate specialize in a
particular task? Why? If so, who should specialize in which task? Show how much labor time
you save if you choose to โtradeโ an appropriate task with your roommate as opposed to
doing it yourself.
Yes, you and your roommate should specialize in the task in which each of you has a comparative
advantage. You should specialize in folding laundry and your roommate in preparing meals. If you
fold a basket of laundry, you must forgo the time that it would take to prepare two meals. For your
roommate to fold a basket of laundry, the time that it takes to prepare three meals must be given up.
Suppose that you โtradeโ folding a basket of laundry for preparing 2.5 meals. You gain 0.5 meals,
which is equivalent to one-half hour of meal preparation time. Hence, you save one-half hour for
every basket of laundry you fold for your roommate in exchange for an hour of meal preparation time.
ยฉ2018 Pearson Education, Inc.
30
Miller โข Economics Today, Nineteenth Edition
2-17. Using only the concept of comparative advantage, evaluate this statement: โA professor with
a Ph.D. in physics should never mow his or her own lawn, because this would fail to take into
account the professorโs comparative advantage.โ
It may be that the professor is very proficient at doing yard work relative to teaching and research
activities, so in fact the professor may have a comparative advantage in doing yard work.
2-18. Country A and country B produce the same consumption goods and capital goods and
currently have identical production possibilities curves. They also have the same resources at
present, and they have access to the same technology.
a. At present, does either country have a comparative advantage in producing capital
goods? Consumption goods?
b. Currently, country A has chosen to produce more consumption goods, compared with
country B. Other things being equal, which country will experience the larger outward
shift of its PPC during the next year?
a. If the two nations have the same production possibilities, then they face the same opportunity
costs of producing consumption goods and capital goods. Thus, at present neither has a
comparative advantage in producing either good.
b. Because country B produces more capital goods today, it will be able to produce more of both
goods in the future. Consequently, country Bโs PPC will shift outward by a greater amount next
year.
2-19. Suppose that in Figure 2-1, a student currently is allocating her study time in such a way that
she is earning a C in mathematics and a C in economics. What is the opportunity cost,
measured in terms of the resulting grade change, if this student wishes to reallocate her study
time in order to raise her mathematics grade by one letter, from a C to a B?
According to the figure, if the student makes the required reallocation of study time to earn a B in
mathematics, then she will earn a D in economics. Thus, the studentโs opportunity cost of raising her
grade by one letter grade, from a C to a B, is a one-letter grade drop in her economics grade, from a
C to a D.
2-20. Suppose that in Figure 2-1, a student currently is allocating her study time in such a way that
she is earning a C in mathematics and a C in economics. If the student desires to boost her
economics grade to an A, how must she alter the number of hours per week that she studies
economics? How must she alter the number of hours per week that she studies mathematics?
The student currently is allocating 3 hours per week of study time to mathematics and 3 hours per week
of study time to economics. To boost her grade in economics from a C to an A, she must devote all
6 hours of available study time to economics, so she must increase the amount of time she spends
studying economics by 3 hours per week. To attain a grade of A in economics, she can devote none of
her weekly study hours to mathematics, so she must decrease the amount of time she devotes to
studying mathematics by 3 hours per week.
2-21. Suppose that in Figure 2-2, the nation currently is producing combination D in the table and
on the graph of the production possibilities curve. What is the opportunity cost of producing
5 million more smartphones and moving to production combination C?
To move from combination D to combination C and produce 5 million more smartphones, instead
of producing 30 million tablet devices at point D, at point C the nation is capable of producing only
ยฉ2018 Pearson Education, Inc.
Chapter 2
Scarcity and the World of Trade-Offs
31
20 million tablets. Thus, in order to move to point C, the nation must give up production of 10 million
tablets (30 million tablets โ 20 million tablets = 10 million tablets). The opportunity cost of the
additional 5 million smartphones, therefore, is 10 million tablets.
2-22. Suppose that in Figure 2-2, the nation currently is producing combination D in the table and
on the graph of the production possibilities curve. What is the opportunity cost of producing
20 million more tablet devices and moving to production combination F?
To move from combination D to combination F and produce 20 million more tablet devices at point F,
instead of producing 45 million smartphones at point C, at point F the nation is capable of producing
only 22.5 million smartphones. Thus, in order to move to point F, the nation must give up production
of 17.5 million smartphones (45 million smartphones โ 22.5 million smartphones = 17.5 million
smartphones). The opportunity cost of the additional 20 million tablets, therefore, is 17.5 million
smartphones.
2-23. Suppose that in Figure 2-4, the nation currently has sufficient resources to produce
combinations located along only the innermost production possibilities curve. In addition,
suppose that the nationโs residents have determined that smartphones function mainly as
consumption goods while tablet devices function primarily as capital goods. If the nation
produces no additional tablets this year, will the intermediate-shifted PPC resulting from
minimal economic growth or the farthest-shifted PPC caused by more significant economic
growth be more likely to apply next year?
The nation is said to have determined that tablet devices are capital goods that can be used to produce
more items in the future, whereas smartphones are consumption goods that cannot. Consequently, by
producing no additional tablets this year, the nation has chosen to produce no new capital goods. Its
economic growth will be minimal, so the intermediate-shifted PPC will result.
2-24. Suppose that in Figure 2-4, the nation with otherwise the same background conditions as
in Problem 2-23 currently has sufficient resources to produce combinations located along
only the innermost production possibilities curve. If the nation produce s no additional
smartphones this year, will the intermediate-shifted PPC resulting from minimal economic
growth or the farthest-shifted PPC caused by more significant economic growth be more
likely to apply next year?
The nation is said to have determined that tablet devices are capital goods that can be used to produce
more items in the future, whereas smartphones are consumption goods that cannot. Consequently, by
producing no additional smartphones this year, the nation has chosen to produce as many tabletsโthat
is, capital goodsโas feasibly can produce. Its economic growth will be substantial, so the farthestshifted PPC will result.
๏ฎ
Selected References
Fellner, William, The Emergence and Content of Modern Economics, New York: McGraw-Hill, 1970.
Friedman, Milton, Free to Choose, New York: Harcourt, Brace, Jovanovich, 1980.
Friedman, Milton, Capitalism and Freedom, Chicago: University of Chicago Press, 1962.
Schotter, Andrew, Free Market Economics: A Critical Appraisal, New York: St. Martinโs Press, 1985.
ยฉ2018 Pearson Education, Inc.
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