Dynamic Changes in Costs The Learning Curve
Our discussion has suggested one reason a large firm may have a lower long-run average cost than a small firm-increasing returns to scale in production. It is tempting to conclude that firms that enjoy lower average cost over time are growing firms with increasing returns to scale. But this need not be true. In some firms, long-run average cost may decline over time because workers and managers absorb new technological information as they become more experienced at their jdbs. As management and...
An Introduction To Mathematica Electronic Version Only
9.2.2 Exact vs. Approximate Results 9.2.6 The Function N and Arbitrary-Precision Numbers Exercises for Sec. 9.2 9.3 The Mathematica Front End and Kernel 9.4.3 Pallets and Keyboard Equivalents 9.5 Lists, Vectors, and Matrices 9.5.1 Defining Lists, Vectors, and Matrices 9.5.2 Vectors and Matrix Operations 9.5.3 Creating Lists, Vectors, and Matrices with the Table Command 9.5.4 Operations on Lists Exercises for Sec. 9.5 9.6.3 Plotting Several Curves on the Same Graph 9.6.8 Add-On Packages...
Review Questions
1. Originally the consumer faces the budget line p Xi P2 2 n. Then the price of good 1 doubles, the price of good 2 becomes 8 times larger, and income becomes 4 times larger. Write down an equation for the new budget line in terms of the original prices and income. 2. What happens to the budget line if the price of good 2 increases, but the price of good 1 and income remain constant 3. If the price of good 1 doubles and the price of good 2 triples, does the budget line become flatter or steeper...
Figure 23
Qualitative flow diagram for the manufacture of sodium dodecylbenzene sulfonate. After removal of aluminum chloride sludge, the reaction mixture is fractionated to recover excess benzene which is recycled to the reaction vessel , a light alkylaryl hydrocarbon, dodecylbenzene, and a heavy alkylaryl hydrocarbon. Sulfonation of the dodecylbenzene may be carried out continuously or batch-wise under a variety of operating conditions using sulfuric acid 100 percent , oleum usually 20 percent SO, , or...
Central Planning Versus Markets
Differences between political decision-making and economic decision-making stand out in sharpest contrast when comparing whole systems of comprehensive economic planning by government officials with economic systems in which market competition among privately owned businesses determines what is produced by whom and at what prices. In both cases socialism3 and capitalism the rationales of the systems must be compared with the actual results, the rhetoric with the reality. The relevant question...
NationalIncome Model ISLM
A typical application of the implicit-function theorem is a gcneral-functional form of the IS-LM model.1 Equilibrium in this macroeconomic model is characteri7ed by an income level and interest rates that simultaneously produce equilibrium in both the goods market and the money market. A goods market is described by the following set of equations Y is the level of gross domestic product GDP , or national income. In this form of the model, Y can also be thought of as aggregate supply. C, , G,...
Basic Economic Relations 1
Tables are the simplest and most direct form for presenting economic data. When these data are displayed electronically in the format of an accounting income statement or balance sheet, the tables are referred to as spreadsheets. When the underlying relation between economic data is simple, tables and spreadsheets may be sufficient for analytical purposes. In such Analytical expression of functional relationships instances, a simple graph or visual representation of the data can provide...
Theory Of The Firm
At its simplest level, a business enterprise represents a series of contractual relationships that specify the rights and responsibilities of various parties see Figure 1.2 . People directly involved include customers, stockholders, management, employees, and suppliers. Society is also involved because businesses use scarce resources, pay taxes, provide employment opportunities, and produce much of society's material and services output. Firms are a useful device for producing and distributing...
The Keynesian Model
We now combine the AD theory of Section 5.4 with the Keynesian 15 theory of Section 5.7. The resulting system, which constitutes the Keynesian model, can be written as follows y C y - r,r I y,r g, 4 Here W is, as explained above, a predetermined variable. Furthermore, the policy variables M, g, and r are again set exogenously. Consequently, the system includes as endogenous variables justy, r, n, and P. The four equations 4 , 9 , 11 , and 15 are then adequate in number to determine the values...
Normal Approximation To The Poisson Distribution
Let the random variable X denote the number of occurrences of an event in a particular interval of time and denote by A the expected, or mean, number of occurrences in that time interval. Then X obeys the Poisson distribution discussed in Section 4.7, with mean and variance Consider now the situation in which the mean number of occurrences, A, is large. Suppose that the time interval of interest is broken down into subintervals of equal width, as in Figure 5.19. Then the total number of...
Cost Curves And Their Shapes
Just as in previous chapters we found graphs of supply and demand useful when analyzing the behavior of markets, we will find graphs of average and marginal cost useful when analyzing the behavior of firms. Figure 13-5 graphs Thelma's costs using the data from Table 13-2. The horizontal axis measures the quantity the firm produces, and the vertical axis measures marginal and average costs. The graph shows four curves average total cost ATC , average fixed cost AFC , average variable cost AVC ,...
Ii On Walrass Works
1 See, for instance, the general introduction to A.Walras 1990 . That the indifference with respect to the work and the person of L on Walras from his own university belongs to the past is illustrated by the recent foundation and the first activities of the 'Centre Walras-Pareto' in the University of Lausanne in 1991. 2 This book was ready for publication at the time of Walras's death, but it had never been published. The Walras Centre therefore decided to bring out the M langes first. See H...
Nomenclature For Chapter 15
a, constant in Eq. 29 for evaluating outside film coefficient of heat transfer, dimensionless A area of heat transfer, ft2 subscripts m designates mean area subscript 0 designates outside area subscript designates film area b0 constant in Eq. 32 for evaluating shell-side friction factor, dimension-less Bj correction factor in Eq. 30 to account for friction due to sudden contraction, sudden expansion, and reversal of flow direction, dimen-sionless Ba correction factor in Eq. 31 to account for...
Relative Merits Of Plate And Packed Towers
The choice between use of a plate tower or a packed tower for a given mass-transfer operation should, theoretically, be based on a detailed cost analysis for the two types of contactors. Thus, the optimum economic design for each type would be developed in detail, and the final choice would be based on a consideration of costs and profits at the optimum conditions. In many cases, however, the decision can be made on the basis of a qualitative analysis of the relative advantages and...
Shifting Of A Market Demand Curve 1
3.4. Is price the only variable influencing the demand for a good or service Recall that demand indicates a willingness and the financial ability to buy a good or service. Willingness and ability to buy a commodity are influenced not only by the commodity's price but also by the income earned by consumers, preferences for a good or service taste , the number of potential buyers in a market area, and the price of substitute and complementary commodities. When the market demand schedule in Table...
Example 92
The decision rule is to reject H0 in favor of Ht if For a 5 -level test, a .05, and za 2 2.025 1.96. Then, since 2.50 is less than -1.96, the null hypothesis is rejected at the 5 significance level. In fact, according to the decision rule, the null hypothesis will be rejected for any significance level a for which zaj2 is bigger than 2.50. From Table 3 in the Appendix, we see that when za 2 is 2.50, a 2 is equal to .0062. Hence, a .0124. This is the p-value of the test, implying that the null...
Aggregate Supply and Aggregate Demand
The title says it all, but you should spend some quality time here getting the details down. This is the model of equilibrium output and price level for the overall economy and it is used repeatedly for analysis in the topic reviews that follow. Learn it well no breaks here. Learn the differences between the classical, Keynesian, and monetarist views of economic equilibrium and growth too. LOS 23.a Explain the factors that influence real GDP and iong-run and short-run aggregate supply, explain...
Applying Economic Concepts
1. Automatic Stabilizers What automatic stabilizers have benefited you or your family in the recent past Could you have managed without them 2. Multiplier Provide an example of how a 100,000 expenditure in your community would have a magnified effect as described by the multiplier. 3. Diversity of Opinion Some economists favor policies that stimulate demand, while others favor those that stimulate the supply of goods and services. Still other economists prefer policies based on the growth of...
Concept Checkers Bcf
1. Which of the following statements is least accurate The existence and use of money A. permits individuals to perform economic calculations. B. requires the central bank to control the supply of currency. C. increases the efficiency of transactions as against a barter system. 2. The Ml measure of the money supply is least likely to include C. currency held by the public. 3. Depository institutions least likely include 4. Banks and savings institutions lower the cost of funds for borrowers by...
The Industrys LongRun Supply Curve
In our analysis of short-run supply, we first derived the firm's supply curve and then showed how the horizontal summation of individual firms' supply curves generated a market supply curve. We cannot analyze long-run supply in the same way, however, because in the long run firms enter and exit the market as the market price changes. This makes it impossible to sum up supply curves-we don't know which firms' supplies to add. To determine long-run supply, we assume all firms have access to the...
Not Chaos but Economic Order
The market looks like a jumble of different sellers and buyers. It seems almost a miracle that food is produced in suitable amounts, gets transported to the right place, and arrives in a palatable form at the dinner table. But a close look at New York or other economies is convincing proof that a market system is neither chaos nor miracle. It is a system with its own internal logic. And it works. A market economy is an elaborate mechanism for coordinating people, activities, and businesses...
Example 89
For a random sample of ninety-six smokers, the mean amount of short-term absenteeism from work was 2.15 hours per month, and the sample standard deviation was 2.09 hours per month. For an independent random sample of 206 employees who had never smoked, the mean amount of absenteeism was 1.69 hours per month, and the sample standard deviation was 1.91 hours per month.21 Find a 99 confidence interval for the difference between the two population means. x 2.15 nx - 96 sx 2.09 and for those who...
LongPeriod Keynesians
Sraffa, though a close friend of Keynes, was not bowled over by The General Theory. He did defend Keynes's Treatise on Money against Friedrich von Hayek's attack, in the process using the concept of own rates of interest. Keynes used the concept to play a key role in the crucial, difficult chapter 17 of The General Theory. We suspect that Sraffa would not have approved, because he used the concept in an internal critique of Hayek's system, not to analyze actual economies. Sraffa's followers...
Case Study The Microsoft Case
The most important and controversial antitrust case in recent years has been the U.S. government's suit against the Microsoft Corporation, filed in 1998. Certainly, the case did not lack drama. It pitted one of the world's richest men Bill Gates against one of the world's most powerful regulatory agencies the U.S. Justice Department . Testifying for the government was a prominent economist MIT professor Franklin Fisher . Testifying for Microsoft was an equally prominent economist MIT professor...
The Logit Model For Ungrouped Or Individual Data
To set the stage, consider the data given in Table 15.7. Letting Y 1 if a student's final grade in an intermediate microeconomics course was A and Y 0 if the final grade was a B or a C, Spector and Mazzeo used grade point average GPA , TUCE, and Personalized System of Instruction PSI as the TABLE 15.7 DATA ON THE EFFECT OF PERSONALIZED SYSTEM OF INSTRUCTION PSI ON COURSE GRADES TABLE 15.7 DATA ON THE EFFECT OF PERSONALIZED SYSTEM OF INSTRUCTION PSI ON COURSE GRADES
Box 42 Further reasons for economies of scale the learning curve
Fixed costs and increasing returns to scale are not the only reasons why average costs of production fall as output rises. Another important factor in some industries has been the learning curve, which relates the firm's average cost of production to its cumulative output. An example of the way we might express such economies is that every time a company doubles its output, costs per unit fall by 25 percent. Such reductions in cost may occur due to better organization and scheduling of complex...
Introduction to Perfect Bayesian Equilibrium
Consider the following dynamic game of complete but imperfect information. First, player 1 chooses among three actions L, M, and R. If player 1 chooses R then the game ends without a move by player 2. If player 1 chooses either L or M then player 2 learns that R was not chosen but not which of L or M was chosen and then chooses between two actions, L' and R', after which the game ends. Payoffs are given in the extensive form in Figure 4.1.1. Using the normal-form representation of this game...
Change in Mexico
For the first time, Mexico this year overtook China as the No. 1 supplier of clothing and textiles to the U.S. . . . Spurred by the North American Free Trade Agreement NAFTA , the surge in apparel exports has touched off an investment boom. Not only are manufacturers expanding their low-wage plants, but they are building high-tech operations to spin fibers and weave fabrics. . . . To encourage the growth of the industry, Mexico is trumpeting both its proximity to the U.S. and the benefits of...
A72 Idempotent Quadratic Forms
Quadratic forms in idempotent matrices play an important role in the distributions of many test statistics. As such, we shall encounter them fairly often. Two central results are of interest. Every symmetric idempotent matrix is nonnegative definite. A-116 Proof All roots are one or zero hence, the matrix is nonnegative definite by definition. Combining this with some earlier results yields a result used in determining the sampling distribution of most of the standard test statistics. If A is...
Multiple Choice Questions Nfd
1. An increase in the cost of producing output, ceteris paribus, a increases the price level and real output, ib increases the price level and decreases real output, c increases the price level and has no effect upon real output, id has no effect upon the price level or real output. 2. When there is a Keynesian aggregate supply curve, an increase in aggregate demand results in proportional increases in a real output, as long as output is below its full-employment levels b the price level, as...
Multiple Choice Questions Sjs
1. Money as a measure of value provides a its holder with perfect liquidity, ,b a common denominator for measuring value, c a mechanism for allocating resources and distributing output, .d a medium for exchanging final output. 2. In the United States, paper currency issued by the Federal Reserve a is backed by gold but is not convertible into gold, b has no intrinsic value but is backed by gold, 3. In the United States, the M1 money supply consists of b paper currency, coins, and check-writing...
Problem 1 Cost for Hydrogen Recovery by ActivatedCarbon Adsorption Process
What is the cost, as cents per 1000 ft3 at SC of 95 mol H2, for recovering hydrogen of 95 mol purity from 10 million ft3 at SC of gaseous feed per day if the following conditions apply Feed composition by volume 72.5 percent H2 and 27.5 percent CH,. A hydrogen-recovery method based on selective adsorption by activated carbon will be used. For the carbon adsorption, three separate beds will be needed so that one bed can be in continuous use while the other two are being desorbed or reactivated....
Insight two confronting costs and benefits
For better public policy decisions, it is useful to evaluate the benefits and costs of climate protection actions or inaction is unavoidable. Economics frames climate protection in benefit-cost terms because scarce resources natural, physical and human make it so. By costs, we mean what society forgoes to pursue climate policy. By benefits, we mean the gains from reducing climate change risks by lowering emissions or by enhancing the capacity for adaptation see e.g. Sohngen and Mendelsohn 1997...
Accounting For Capital Revaluations
The method which we here advocate for the measurement of the proportion of capital resources which annually enter the social product is a method which Dr Fabricant of the National Bureau of Economic Research employs for the determination of capital consumption in the United States from 1919 to 1935.7 Though ostensibly his aim is the measurement of the difference between gross and net national income, it is evident that this difference equals the total capital change other than gross capital...
Table 11
Basic data and assumptions for reactor-design example dealing with optimization of yields for benzene chlorinator Data for chlorobenzene reactor-design example The feed rate of the dry chlorine is 1.4 lb mole of chlorine h lb mole of initial benzene charge . The following rate constants are estimated values for the catalyst used at 55 C assumed for this problem Jt, 510 lb mol ft3 -' h -' jfc, 64 lb mol ft3 -1 h _l k 2.1 lb mol ft3 1 h -' There is negligible liquid or vapor holdup in the reflux...
Perfect Competition Market Price and Profit Maximization
Using Graphs Under perfect competition, the market forces of supply and demand establish the equilibrium price. The perfectly competitive firm treats this price as its demand curve and its marginal revenue MR because the firm will receive 15 for each and every unit it sells. Is perfect competition always a theoretical situation Explain. The profit maximizing quantity of output is found where the marginal cost of production is equal to the marginal revenue from sales, or where MC MR. This occurs...
Example 22 Infinitely repeated version of Example 21
Let U x, y xy, amp 2, and T 24. We derived C amp 12, 24 with e amp 12 in the one-shot case Example 2.1 . At the partnership equilibrium, eP 8 with CP 16, 16 . Note that U C amp 288 and U CP 256. One Nash equilibrium for the infinitely repeated partnership has each partner supply 12 hours of effort in the first period and every subsequent period as long as the other partner supplied 12 hours in each previous period, but will supply 8 hours of effort in period t and every subsequent period if the...
. Compute The Multiple Regression Of Per Capita Consumption Of Gasoline G Pop
The true model underlying these data is y xi x2 X3 e. a. Compute the simple correlations among the regressors. b. Compute the ordinary least squares coefficients in the regression of y on a constant xi,x2, and X3. c. Compute the ordinary least squares coefficients in the regression of y on a constant x and x2, on a constant x and x , and on a constant x2 and x . d. Compute the variance inflation factor associated with each variable. e. The regressors are obviously collinear. Which is the...
Example 417
An analyst predicted that 3.5 of all small corporations would file for bankruptcy in the coming year. For a random sample of 100 small corporations, estimate the probability that at least three will file for bankruptcy in the next year, assuming that the analyst's prediction is correct. The distribution of the number X of filings for bankruptcy is binomial, with n 100 and p .035, so the mean of the distribution is We will use the Poisson distribution, with mean A 3.5, to approximate our...
llA NormalForm Representation of Games
In the normal-form representation of a game, each player simultaneously chooses a strategy, and the combination of strategies chosen by the players determines a payoff for each player. We illustrate the normal-form representation with a classic example The Prisoners' Dilemma. Two suspects are arrested and charged with a crime. The police lack sufficient evidence to convict the suspects, unless at least one confesses. The police hold the suspects in separate cells and explain the consequences...
Dynamic Games of Complete but Imperfect Information
2.4.A Extensive-Form Representation of Games In Chapter 1 we analyzed static games by representing such games in normal form. We now analyze dynamic games by representing such games in extensive form.18 This expositional approach may make it seem that static games must be represented in normal form and dynamic games in extensive form, but this is not the case. Any game can be represented in either normal or extensive form, although for some games one of the two forms is more convenient to...
Problem 11 Operating Time for Catalytic Polymerization Reactor to Reach Minimum
A catalytic polymerization plant is to operate continuously with a special catalyst with properties and results as given below. Under the following specified operating conditions, how many days could each reactor remain on stream from the time of fresh catalyst age zero catalyst charge until the percent propylene conversion through the catalyst bed drops to 93.75 percent. What will the pressure drop across the catalyst bed be at that time How often should a new recharged unit come on stream if...
New Keynesian Model
In the new classical model, all wages and prices are completely flexible with respect to expected changes in the price level that is, a rise in the expected price level results in an immediate and equal rise in wages and prices. Many economists who accept rational expectations as a working hypothesis do not accept the characterization of wage and price flexibility in the new classical model. These critics of the new classical model, called new Keynesians, object to complete wage and price...
Monopoly
See how the monopoly's decisions affect economic well-being If you own a personal computer, it probably uses some version of Windows, the operating system sold by the Microsoft Corporation. When Microsoft first designed Windows many years ago, it applied for and received a copyright from the government. The copyright gives Microsoft the exclusive right to make and sell copies of the Windows operating system. So if a person wants to buy a copy of Windows, he or she has little choice but to give...
Extensions Of The Scope Of Banking And Financial Institution Operations
Encouraging Banks to Open Branches or Participate in Joint Ventures Abroad In order to support Bangkok as the financial centre in the region, the BoT allowed the commercial banks to open branches in Laos, Kampuchea, Vietnam, Burma, as well as mainland China. These branches could provide banking services not only to the local community, but also to Thai investors or foreign investors who use Thailand as a gateway or springboard to the region. Also, they would gather or collect prime information...
New classical macroeconomics
New classical macroeconomics has a lot in common with monetarism. When displayed in an AD-AS diagram it looks deceivingly similar to the monetarist diagram with its distinction between a positively sloped short-run AS curve and a vertical long-run AS curve. But it goes one step further. It criticizes the assumption of adaptive expectations as too Figure 4 Demand and fluctuations have a surprise effect on income, but a lasting effect on prices. Classical dichotomy is violated only by surprises....
A Survey Of Holidaymakers Found That On Average Women Spent 3 Hours Per Day
include the value zero, which would imply equality of the two schools' marks. Equality of the two schools can thus be ruled out with 95 confidence. A survey of holidaymakers found that on average women spent 3 hours per day sunbathing, men spent 2 hours. The sample sizes were 36 in each case and the standard deviations were 1.1 hours and 1.2 hours respectively. Estimate the true difference between men and women in sunbathing habits. Use the 99 confidence level. The point estimate is simply one...
E4e4 1 4
where r2 3 is the coefficient of correlation between X2 and X3. 10.21. Using 7.4.12 and 7.4.15 , show that when there is perfect collinearity, the variances of ft and ft are infinite. 10.22. Verify that the standard errors of the sums of the slope coefficients estimated from 10.5.6 and 10.5.7 are, respectively, 0.1549 and 0.1825. See Section 10.5. 10.23. For the k-variable regression model, it can be shown that the variance of the kth k 2,3, , K partial regression coefficient given in 7.5.6 can...
International Factor Movements
Up to this point we have concerned ourselves entirely with international trade. That is, we have focused on the causes and effects of international exchanges of goods and services. Movement of goods and services is not, however, the only form of international integration.This chapter is concerned with another form of integration, international movements of factors of production, or factor movements. Factor movements include labor migration, the transfer of capital via international borrowing...
Exercise 155
1 In the inflation-unemployment model, retain 15.33 and 15.34 but delete 15.35 and let U be exogenous instead. a What kind of differential equation will now arise b How many characteristic roots can you obtain Is it possible now to have periodic fluctuation in the complementary function 2 In the text discussion, we condensed the inflation-unemployment model into a differential equation in the variable it. Show that the model can alternatively be condensed into a second-order differential...