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HOMEWORK SETS FOR PRINCIPLES OF MICROECONOMICS (ECONOMICS 102) Lewis Karstensson, Ph.D. Department of Economics University of Nevada, Las Vegas 2005 INTRODUCTION This packet contains the Homework Sets for the ten topics covered in this course. Each set contains (1) a list of Terms to Know, and (2) a set of Questions and/or Problems for Analysis for a given topic. It is strongly suggested that you use the pertinent homework exercises, together with the text readings and lecture notes, to help you prepare for each course Exam. You should, in writing, practice defining the terms accurately noting examples of each where appropriate, answer the questions correctly and work through the solutions to the problems with as much repetition as is necessary to know the material. The process of learning economics is really no different from that of learning many other things: To learn how to play tennis well, you have to practice playing good tennis; to learn how to play a piano well, you have to practice on the piano a lot; and to learn how to do economic analysis correctly, you have to practice, and practice, and practice, doing economic analysis correctly, that is, learning the language and tracing through various analyses with the aid of simple models. 0.1 COURSE TOPICS The principal topics considered in this course are the following: ______________________________________________________________________________ Topic 1. 1. 2. Topic 2. 1. 2. 3. Topic 3. 1. 2. 3. Introduction to Economics The Nature of Economics Varieties of Economic Thought The Economic Problem Scarcity and its Consequences Production-Possibility Analysis The Assumption of Scarcity Demand and Supply The Principle of Demand The Principle of Supply Exchange EXAM 1 Topic 4. 1. 2. 3. 4. Topic 5. 1. 2. 3. 4. Utility Theory Choice Theory, The General Case Choice Theory, The Major Agents The Demand Curve The Assumption of Rationality Elasticity Price (Own-Price) Elasticity of Demand Income Elasticity of Demand Cross-Price Elasticity of Demand Elasticity of Supply EXAM 2 Topic 6. 1. 2. 3. 4. Theory of Production The Business Firm Time Periods in Production Production in the Short Run Production in the Long Run 0.2 0.3 Topic 7. 1. 2. 3. Theory of Cost Various Cost Concepts Costs in the Short Run Costs in the Long Run EXAM 3 Topic 8. 1. 2. 3. 4. Topic 9. 1. 2. 3. Market Structure: Types of Markets Pure Competition Monopolistic Competition Oligopoly Pure Monopoly Market Structure: Exchange The Market (Monopoly) Power Problem Exchange in Each Type of Market The Market Power Problem Again: Some Policy Options Topic 10. Factor Markets, The Labor Market 1. 2. 3. The Nature of the Labor Market The Marginal Productivity Theory Economics of the Job Interview EXAM 4 AND DEPARTMENT COMPREHENSIVE EXAM ______________________________________________________________________________ TOPIC 1 INTRODUCTION TO ECONOMICS Terms to know: Economics History of Economic Thought Microeconomics Macroeconomics Quantitative economics Mathematical economics Econometrics Applied economics Normative economics Positive economics Ceteris Paribus Fallacy of Composition Thomas Aquinas Thomas Mun Adam Smith Thomas Malthus David Ricardo Karl Marx Ragnar Frisch Questions and/or Problems for Analysis: 1. What is economics about? 2. What is human behavior insofar as economics is concerned? context do economists examine human behavior? 3. What are the five principal components of economics? some detail. 4. Characterize pre-modern thought on economic matters. Name two representative pre-modern writers and summarize their economic views. 5. Characterize modern economics. Modern economics emerged in what time period and in what environment? Explain. What forces shaped the development of modern economics? 6. Note a major contribution of each of the following to modern economics: Adam Smith, Thomas Malthus, David Ricardo, Karl Marx, and Ragnar Frisch. 7. "Economics is the study of business enterprise." statement? Why or why not? 1.1 In what Explain each in Is this an accurate TOPIC 2 THE ECONOMIC PROBLEM Terms to know: Wants Resources (Factors of Production) Land Labor Capital Entrepreneurship Scarcity Economic goods Free goods Bads Opportunity Cost Production Possibility Curve (PPC) Technical efficiency Absolute advantage Comparative advantage Questions and/or Problems for Analysis: 1. Define the condition of scarcity. condition? Explain each. 2. Are all things scarce? 3. "The United States is a country of wealth, abundance, and affluence. Thus, scarcity does not exist in the United States." Do you agree or disagree with this statement? Why? 4. Draw and label a standard production possibility (pp) model for goods X and Y. (a) (b) (c) (d) (e) (f) (g) 5. What are the consequences of this Explain. What assumptions underlie the model? What are on the respective axes? What does any given point on the pp curve mean? What does any given point within the pp curve mean? What does any given point beyond the pp curve mean? Why is the pp curve concave to the origin? What does a straight line pp curve imply? What does a shift outward in the pp curve signify? The production possibility frontier shows that the economy of Greater Argon is capable of producing 20 million buns and 6 million yo-yos (point A on the graph). Or instead, it can produce 10 million buns and 8 million yo-yos (point B). (a) (b) (c) Draw a production possibility frontier for Argon showing this information. (Put yo-yos on the horizontal axis and buns on the vertical axis.) What is the slope of the frontier between point A and point B? What is the opportunity cost of producing an additional yo-yo? 2.1 2.2 6. Show and explain each of the following using the production possibilities framework: (a) (b) (c) (d) 7. With a given quantity of resources, Sweden can produce 10 bottles of wine or 40 loaves of bread. With an equal quantity of resources, Norway can produce 5 bottles of wine or 30 loaves of bread. (a) (b) (c) (d) (e) 8. A disagreement between person A who favors more domestic welfare spending and person B who favors more national defense spending. An increase in population in an economy producing tattoos and earrings. Technical efficiency in an economy producing DVDs and a composite good (all other goods). An economy producing good X and good Y with resources that are not specialized. Which country has an absolute advantage in wine production? Which country has an absolute advantage in bread production? Which country has a comparative advantage in wine production? Which country has a comparative advantage in bread production? What production and trade arrangement will develop under these conditions according to the principle of comparative advantage? The following table provides the number of labor-hours required to produce a laptop computer or a rock music concert in Laputa and Luggnagg, respectively. Labor-Hours Required to Produce: Laptop Computer Rock Concert ____________________________________________________ Laputa 30 12 Luggnagg 60 15 ____________________________________________________ (a) (b) (c) (d) (e) Which country has an absolute advantage in computer production? Which country has an absolute advantage in concert production? Which country has a comparative advantage in computer production? Which country has a comparative advantage in concert production? What production and trade arrangement will develop under these conditions according to the principle of comparative advantage? TOPIC 3 DEMAND AND SUPPLY Terms to know: Demand Quantity demanded Normal good Inferior good Substitute good Complementary good Supply Quantity supplied Equilibrium Disequilibrium Equilibrium price Equilibrium quantity Shortage Surplus Price ceiling Price floor Consumers' surplus Producers' surplus Questions and/or Problems for Analysis: 1. Graphically illustrate and explain the concept of demand. 2. List the determinants of demand. Graphically show the effects of all possible changes in each determinant on the demand for a hypothetical good. 3. Graphically illustrate and explain the concept of quantity demanded. Other things equal, what causes a change in the quantity of a given good demanded? 4. Graphically illustrate and explain the concept of supply. 5. List the determinants of supply. Graphically show the effects of all possible changes in each determinant on the supply of a hypothetical good. 6. Graphically illustrate and explain the concept of quantity supplied. Other things equal, what causes a change in quantity of a given good supplied? 7. Graphically illustrate and explain the condition of equilibrium in a static market -- that is, a market with fixed demand and supply conditions. 8. Graphically illustrate and explain the possible conditions of disequilibrium in a static market. In each case, describe the tendency of the market to move toward equilibrium, assuming an unfettered (unregulated) market. 3.1 3.2 9. Graphically illustrate and explain the market effects of setting a price ceiling for a given good at a level below the equilibrium price. 10. Graphically illustrate and explain the market effects of setting a price floor for a given good at a level above the equilibrium price. 11. Assume a dynamic market -- that is, a market with changing demand and supply conditions. Graphically, show how the equilibrium price (Pe) and the equilibrium quantity (Qe) will change in each of the following cases: Quantity(Qe) Case Demand Supply Price(Pe) ___________________________________________________________________ (1) ↑ C _____ _____ (2) ↓ C _____ _____ (3) C ↑ _____ _____ (4) C ↓ _____ _____ (5) ↑ ↑ _____ _____ (6) ↓ ↓ _____ _____ (7) ↑ ↓ _____ _____ (8) ↓ ↑ _____ _____ ___________________________________________________________________ Note: ↑ = increase; ↓ = decrease; C = remains constant. 12. Suppose the price of wine in Las Vegas increases from $1.00 per bottle to $2.00 per bottle. What will happen to the demand for wine in Las Vegas? 13. Suppose buyer preferences for good X increase. Other things equal, what effect will this have on the equilibrium price and quantity of good X exchanged in the market? Show your analysis graphically. 14. Suppose good X is an inferior good. Other things equal, what effect will an increase in consumer income have on the equilibrium price and quantity of good X exchanged in the market? Show your analysis graphically. 15. Suppose goods X and Y are complementary goods. What effect will an increase in the price of good Y have on the equilibrium price and quantity of good X exchanged in the market, other things equal? Show your analysis graphically. 16. Suppose resource Y is an input into the production of good X. What effect will an increase in the price of resource Y have on the equilibrium price and quantity of good X exchanged in the market, other things equal? Show your analysis graphically. 3.3 17. Suppose a technological innovation has been adopted in the industry producing good X, allowing firms in this industry to produce good X at a lower cost than before. Other things equal, how would this development affect the equilibrium price and quantity of good X exchanged in the market. Show your analysis graphically. 18. Suppose the sales tax applicable to good X increases from 6 percent to 7 percent. Other things equal, how would this development affect the equilibrium price and quantity of good X exchanged in the market. Show your analysis graphically. 19. Draw a graph representing the market for good X. Label the equilibrium point in the graph as E1; label the equilibrium price and equilibrium quantity exchanged as Pe and Qe, respectively; and label the vertical intercepts of the demand and supply curves as A and B, respectively. Identify the consumer surplus in this graph. Identify producer surplus in this graph. Where are the sum of consumer surplus and producer surplus maximized? 20. Suppose the demand and supply schedules for bicycles are as follows: Price Quantity demanded per year Quantity supplied per year ___________________________________________________________________ $160 20,000,000 12,000,000 200 18,000,000 14,000,000 240 16,000,000 16,000,000 280 14,000,000 18,000,000 320 12,000,000 20,000,000 360 10,000,000 22,000,000 ___________________________________________________________________ (a) (b) (c) (d) Graph these curves and show the equilibrium price and quantity. Now, suppose that it becomes unfashionable to ride a bicycle, so the quantity demanded at each price falls by 4 million bikes per year. What is the new equilibrium price and quantity? Show this solution graphically. Explain why the quantity falls by less than 4 million bikes per year. Suppose instead that several major bicycle producers go out of business, thereby reducing the quantity supplied by 4 million bikes at every price. Find the new equilibrium price and quantity, and show them graphically. Explain again why quantity falls by less than 4 million. What are the equilibrium price and quantity if the shifts described in parts (b) and (c) happen at the same time? Show this graphically. 3.4 21. Suppose the quantity demanded for good X depends on its price (P) and consumer income (Y) in a linear way: quantity demanded = Qd = 5 – P + .5(Y) The quantity supplied also depends on price linearly: quantity supplied = Qs = 1 + .5(P) (a) (b) (c) Suppose consumer income is 10. Graph the supply and demand curves and find the equilibrium price and quantity. Suppose consumer income rises to 16. Graph the new market equilibrium and find the new equilibrium price and quantity. Is good X a normal good or an inferior good? Why? TOPIC 4 UTILITY THEORY Terms to know: Preference system Benefits Constraint system Cost (Monetary cost, time cost, opportunity cost) Marginal benefit (MB) Marginal cost (MC) Equilibrium Disequilibrium Household sector (Consumer) Private business sector (private goods production) Public sector, government (public goods production) Private good Public good Utility Marginal utility (MU) Principle of diminishing marginal utility Diamond-Water Paradox Revenue Marginal revenue (MR) Social benefit Marginal social benefit (MSB) Social cost Marginal social cost (MSC) Income effect Substitution effect Questions and/or Problems for Analysis: 1. Explain the theory of choice or the microeconomics of choice in its general form: Identify the factors that an individual takes into consideration in making choices. Show the possible equilibrium and disequilibrium conditions for an individual in the single alternative case; show this case graphically. Show the possible equilibrium and disequilibrium conditions for an individual in the multiple alternative case. 2. What factors do consumers take into consideration in making their consumption choices? Show the possible equilibrium and disequilibrium conditions for a consumer in the single alternative case; show this case graphically. Show the possible equilibrium and disequilibrium conditions for a consumer in the multiple alternative case. What does this analysis suggest as a motive underlying the consumer's choice-making behavior? 3. What factors do private sector business firms take into consideration in making their production decisions? Show the possible equilibrium and disequilibrium conditions for a firm engaged in the production of one good; show this case graphically. What does this analysis suggest as a motive underlying a business firm's choice-making behavior? 4.1 4.2 4. What factors do the various levels of government take into consideration in making their production decisions? Show the possible equilibrium and disequilibrium conditions for a governmental agency engaged in the production of one good; show this case graphically. What does this analysis suggest as a motive underlying governmental choice-making behavior? 5. Give two explanations for the downward sloping demand curve. 6. Explain the assumption of rationality. 7. Calculate the numerical values corresponding to the letters in Table 1 below. Is this a valid assumption? Table 1: Various Measures of Utility Units of Total Average Marginal Good X Utility Utility Utility Consumed (Utils) (Utils) (Utils) _____________________________________________ 0 0 0 -1 1 1.00 1.00 2 3 (b) 2.00 3 6 2.00 3.00 4 10 2.50 (d) 5 (a) 3.00 5.00 6 19 3.17 4.00 7 22 3.14 3.00 8 24 3.00 2.00 9 25 (c) 1.00 10 25 2.50 0.00 11 24 2.18 (e) 12 22 1.83 -2.00 _____________________________________________ Answers: (a)_____ (b)_____ (c)_____ (d)_____ (e)_____ 4.3 8. Consider Agatha's utility functions for grapes and oranges given in Table 2 below. Assume that the prices of grapes and oranges are $1 and $2 per unit, respectively. (a) If Agatha allocates $5 of her weekly food budget to the purchase of grapes and oranges, what consumption bundle will maximize her utility? (b) What is the total utility of this consumption bundle to Agatha? Table 2: Agatha's Utility Functions for Grapes and Oranges Grapes Units Total Utility (Utils) ____________________________ Oranges Units Total Utility (Utils) ____________________________ 0 0 1 15 2 28 3 39 4 48 5 55 ____________________________ 0 0 1 22 2 41 3 58 4 73 5 85 ____________________________ TOPIC 5 ELASTICITY Terms to know: Own price elasticity of demand Elastic demand Inelastic demand Unit elastic demand Total revenue (total expenditure) test Coefficient of elasticity Income elasticity of demand Cross price elasticity of demand Elasticity of supply Questions and/or Problems for Analysis: 1. Define and explain the meaning of own price elasticity of demand. 2. Graphically illustrate each of the following: (1) elastic demand, (2) inelastic demand, (3) unit elastic demand. Show the relationship between total revenue (total expenditure) and price in each of the foregoing cases. 3. Suppose the price of good X increases from $65 to $70 per unit and as a result the quantity of good X purchased decreases from 2,000 to 1,900 units. Calculate the arc coefficient of elasticity of demand for good X. Interpret the coefficient. 4. Suppose the price of good X decreases from $50 to $40 per unit and as a result the quantity of good X purchased increases from 1,000 to 1,600 units. Calculate the arc coefficient of elasticity of demand for good X. Interpret the coefficient. 5. Is the coefficient of elasticity of demand the same as the slope of the demand curve? Explain. 6. Define and explain the meaning of income elasticity of demand. 7. What is the meaning of each of the following: (1) (2) Income elasticity of demand for good X = +2.5 Income elasticity of demand for good X = -2.0 8. Define and explain the meaning of cross price elasticity of demand. 9. What is the meaning of each of the following: (1) (2) Cross price to good Y = Cross price to good Y = elasticity of demand for good X with respect +1.5 elasticity of demand for good X with respect -3.0 5.1 5.2 10. Define and explain the meaning of elasticity of supply. 11. Graphically illustrate each of the following: (1) elastic supply, (2) inelastic supply, (3) unit elastic supply. 12. Suppose the supply of good X is perfectly elastic. What effect will an increase in preferences for good X have on the equilibrium price and quantity of good X traded in the market, other things equal? Show your analysis graphically. 13. Suppose the supply of good X is perfectly inelastic. What effect will an increase in the number of buyers in the market have on the equilibrium price and quantity of good X traded in the market, other things equal? Show your analysis graphically. 14. Suppose the demand for good X is perfectly inelastic. What effect will an increase in the sales tax from 5% to 7% have on the equilibrium price and quantity of good X traded in the market, other things equal? What can be said about who bears the burden of the tax in this case? Show your analysis graphically. 15. Suppose the demand for good X is perfectly elastic. What effect will an increase in the sales tax from 5% to 7% have on the equilibrium price and quantity of good X traded in the market, other things equal? What can be said about who bears the burden of the tax in this case? Show your analysis graphically. TOPIC 6 THEORY OF PRODUCTION Terms to know: Firm Profit / Loss Normal profit Economic profit Profit maximization Total revenue (TR) Average revenue (AR) Marginal revenue (MR) Total fixed costs (TFC) Total variable costs (TVC) Total cost (TC) Average total cost (ATC) Marginal cost (MC) Market period Short run Long run Very long run Fixed input Variable input Production function Total product (TP) Average product (AP) Marginal product (MP) Principle of diminishing returns Returns to scale Questions and/or Problems for Analysis: 1. What is a firm? Why is production carried out in firms? 2. Distinguish between normal profit and economic profit. 3. What are the two profit maximizing conditions? conditions graphically. 4. What are the four time periods used in the analysis of production? Explain each. 5. What is the principle of diminishing returns in production? 6. Illustrate the principle of diminishing returns graphically with reference to (1) physical product and (2) costs of production. 7. What is meant by the duality of production and cost? 8. Explain returns to scale. 9. Can the world's food supply be grown in a flower pot? answer. 6.1 Illustrate these Explain your 6.2 10. The following table gives revenue and cost data for Phony Cell Inc., a small manufacturer of cell phones: Quantity of Output and Sales (Units) Total Revenue ($) Total Cost ($) _______________________________________________________________________ 0 0 400 1 200 500 2 400 580 3 600 640 4 800 680 5 1,000 700 6 1,200 740 7 1,400 820 8 1,600 1,020 9 1,800 1,320 10 2,000 1,720 _______________________________________________________________________ (a) (b) (c) (d) (e) (f) (g) 11. What are total fixed costs At what quantity of output At what quantity of output At what quantity of output At what quantity of output At what quantity of output At what quantity of output for Phony Cell? and sales is total revenue maximized? is average total cost minimized? is average variable cost minimized? is marginal cost minimized? and sales is MR = MC? and sales is total profit maximized? The following table shows the production function for BigDog Hotdogs, a hotdog vendor in Las Vegas: Variable Fixed Quantity of Input Input Output per Hour (Labor) (Capital) (Hotdogs) ___________________________________________ 0 1 0 1 1 10 2 1 21 3 1 33 4 1 44 5 1 54 6 1 62 7 1 66 8 1 66 9 1 64 10 1 60 __________________________________________ (a) (b) (c) (d) What is the average product of three workers at BigDog? What is the marginal product of the fifth worker at BigDog? Over what range of employment at BigDog do we observe: (1) Increasing returns to labor? (2) Decreasing returns to labor? (3) Negative returns to labor? Over what range of employment at BigDog do we observe the law of diminishing returns? TOPIC 7 THEORY OF COST Terms to know: Explicit cost Implicit cost Sunk cost Normal profit Economies of scale Diseconomies of scale Questions and/or Problems for Analysis: 1. Define each of the following short run cost concepts and graph each with respect to quantity of output (Q): (1) (2) (3) (4) (5) (6) (7) Total Fixed Cost (TFC) Total Variable Cost (TVC) Total Cost (TC) Average Fixed Cost (AFC) Average Variable Cost (AVC) Average Total Cost (ATC) Marginal Cost (MC) 2. Construct a model (graph) showing the relationships between average variable cost (AVC), average total cost (ATC), and marginal cost (MC). What observations are apparent in the model? 3. What meaning can be attached to that section of a firm's marginal cost (MC) curve above its average variable cost (AVC) curve? Explain with the aid of a graph. 4. Define each of the following long run cost concepts and graph each with respect to quantity of output (Q): (1) (2) (3) 5. Long Run Total Cost (LTC) Long Run Average Total Cost (LATC) Long Run Marginal Cost (LMC) Construct a model (graph) showing the relationships between short run average total cost (ATC) and long run average total cost (LATC). What does the declining section of the LATC curve show? What does the increasing section of the LATC curve show? 7.1 7.2 6. Calculate numerical value for each of the blank spaces in Table 1 below: Table 1: Cost of Sunbeam Production (From Cucumbers) (1) (2) (3) (4) (5) (6) (7) (8) Quantity Total Average Total Average Average of Fixed Fixed Variable Variable Total Total Marginal Output Cost Cost Cost Cost Cost Cost Cost ______________________________________________________________________ 0 $200 -- 1 ____ ____ 2 ____ 3 $ 0 -- ____ -- -- 30 ____ ____ ____ ____ ____ 50 ____ ____ ____ ____ ____ ____ 60 ____ ____ ____ ____ 4 ____ ____ 66 ____ ____ ____ ____ 5 ____ ____ 75 ____ ____ ____ ____ 6 ____ ____ 95 ____ ____ ____ ____ 7 ____ ____ 125 ____ ____ ____ ____ 8 ____ ____ 165 ____ ____ ____ ____ 9 ____ ____ 215 ____ ____ ____ ____ 10 ____ ____ 275 ____ ____ ____ ____ _______________________________________________________________________ TOPIC 8 MARKET STRUCTURE: TYPES OF MARKETS Terms to know: Pure competition Monopolistic competition Oligopoly Monopoly Homogeneous product Differentiated product Barrier to entry Barrier to exit Questions and/or Problems for Analysis: 1. List and explain the principal properties of the purely competitive market. 2. List and explain the principal properties of the monopolistically competitive market. 3. List and explain the principal properties of the oligopoly market. 4. List and explain the principal properties of the pure monopoly market. 8.1 TOPIC 9 MARKET STRUCTURE: EXCHANGE Terms to know: Pure competition Monopolistic competition Independent oligopoly Collusive oligopoly Kinked demand curve Cartel Monopoly Total Revenue (TR) Average Revenue (AR) Marginal Revenue (MR) Concentration ratio Informational advertising Image (persuasive) advertising Questions and/or Problems for Analysis: 1. Define the market (monopoly) power problem. which markets does this problem exist? 2. Draw a two-panel model (graph) for a firm producing and selling good X in a purely competitive market. In the first panel show the market for good X; in the second panel show the firm in long run equilibrium. Show the effects of an increase in demand for good X in this market. Show the effects of a decrease in demand for good X in this market. What conclusions can be drawn from this model? 3. Under what condition will a competitive firm earning a loss (a negative profit) continue to operate in the short run? Under what condition will the same firm shut down? Demonstrate these conditions graphically. 4. Draw a two-panel model (graph) for a firm producing and selling good X in a monopolistically competitive market. In the first panel show the firm realizing economic profit in the short run; in the second panel show the firm in long run equilibrium. Explain how the firm moves from the former to the latter state. What conclusions can be drawn from this model? 5. Draw a model (graph) for a firm producing and selling good X in an independent (non-collusive) oligopoly market. What conclusions can be drawn from this model? 6. Draw a model (graph) for a firm producing and selling good X in a collusive oligopoly market. What conclusions can be drawn from this model? 7. Draw a model (graph) for a firm producing and selling good X in a pure monopoly market. What conclusions can be drawn from this model? 8. Examine the economic effects of advertising. graphically. 9.1 Why is this a problem? Show these effects In TOPIC 10 FACTOR MARKETS (LABOR MARKET) Terms to know: Factors of production Derived demand Marginal productivity theory Marginal revenue product (MRP) Marginal resource cost (MRC) Questions and/or Problems for Analysis: 1. Explain the marginal productivity theory of employment and wage determination. 2. What meaning can be attached to a firm's MRP curve for labor? 3. At the conclusion of your college career you will probably enter the job market and sit for one or more job interviews before landing a position. Does the marginal productivity theory suggest anything about the central factors involved in a job interview? Explain. What does the marginal productivity theory suggest that you, as an individual, do to increase your probability of having a successful job interview (i.e., getting the job offer)? 10.1