Archives: Solution Manual

The purpose of Chapter 11 is to address a group of goods that are free to the consumer. When goods are free, market forces that normally allocate resources are absent. Therefore, free goods, such as playgrounds and public parks, may […]

In Chapter 10, different sources of externalities and a variety of potential cures for externalities are addressed. Markets maximize total surplus to buyers and sellers in a market. However, if a market generates an externality (a cost or benefit to […]

160 WHAT’S NEW IN THE SIXTH EDITION: A new In the News feature on “Trade Skirmishes” has been added. LEARNING OBJECTIVES: By the end of this chapter, students should understand: ➢ what determines whether a country imports or exports a […]

combines the lessons learned in Chapters 6 and 7 and addresses the effects of taxation on welfare. Chapter 9 will address the effects of trade restrictions on welfare. The purpose of Chapter 8 is to apply the lessons learned about […]

Chapter 7/Consumers, Producers, and the Efficiency of Markets ❖ 133 quantity would lower total surplus because the value to the marginal buyer would be lower than the cost to the marginal seller on those additional units. Questions for Review 1. […]

121 rkets WHAT’S NEW IN THE SIXTH EDITION: There are no major changes to this chapter. LEARNING OBJECTIVES: By the end of this chapter, students should understand: ➢ the link between buyers’ willingness to pay for a good and the […]

supplied and quantity demanded to changes in economic conditions. Chapter 6 addresses the impact of government policies on competitive markets using the tools of supply and demand that you learned in Chapters 4 and 5. The purpose of Chapter 6 […]

respond to changes in market conditions. Chapter 6 will address the impact of government polices on competitive markets. The purpose of Chapter 5 is to add precision to the supply-and-demand model. We introduce the concept of elasticity, which measures the […]

68 ❖ Chapter 4/The Market Forces of Supply and Demand SOLUTIONS TO TEXT PROBLEMS: Quick Quizzes 1. A market is a group of buyers (who determine demand) and a group of sellers (who 2. Here is an example of a […]

51 WHAT’S NEW IN THE SIXTH EDITION: The In the News feature “Price Increases after Natural Disasters” has been updated with a new article. LEARNING OBJECTIVES: By the end of this chapter, students should understand: ➢ what a competitive market […]

ten principles discussed in Chapter 1). The purpose of Chapter 3 is to demonstrate how everyone can gain from trade. Trade allows people to specialize in the production of goods for which they have a comparative advantage and then trade […]

The purpose of Chapter 2 is to familiarize students with how economists approach economic problems. With practice, they will learn how to approach similar problems in this dispassionate systematic way. They will see how economists employ the scientific method, the […]

➢ the meaning of opportunity cost. ➢ how to use marginal reasoning when making decisions. ➢ how incentives affect people’s behavior. ➢ why trade among people or nations can be good for everyone. ➢ why markets are a good, but […]

3 function res = bcfunHW11_27b(ya,yb) Tinf=300; h=100; k=72; When executed, the program produces the following plot: 0123456 x 10-5 624.098 624.1 624.102 624.104 x (m) T (K) 624.106 624.108 624.11 BCa = 0; BCb = -h*(yb(1)-Tinf)/k; res = [ya(2) – […]

3 (c) Using MATLAB built-in functions to solve the ODE. The ODE is transforming into a system of two first-order ODEs: 0 100 200 300 400 T (C) 11.5 22.5 33.5 500 600 r (cm) dT dr —–– w= dw […]

4 a=0; b=pi; n=100; Ya=1.5; Yb=0; WL=-5; WH=-1.5; When the script file is executed, the following figure is displayed in the Figure Window: This solution agrees with the solution in Example 11-6. 00.5 11.5 22.5 3 3.5 −1 −0.5 0 […]

1 11.1 Consider the following second-order ODE: (a) Using the central difference formula for approximating the second derivative, discretize the ODE (rewrite the equation in a form suitable for solution with the finite difference method). (b) If the step size […]

3 The listing of the user-defined function ODEsHW10_6 (the system of ODEs in Problem 10.6) that is used in the solution is: When the program is executed the numerical solution is displayed in the Command Window and the fol- lowing […]

2 The the user-defined function odeRK3 is used in following program (script file) to solve Problem 8.2. clear, clc ODEHW10_2 = @ (x,y) x-x*y/2; a=1; b=3.4; yINI=1; h1=0.8; h2=0.1; [x1, y1] = odeRK3(ODEHW10_2,a,b,h1,yINI); [x2, y2] = odeRK3(ODEHW10_2,a,b,h2,yINI); fplot(‘2-exp((1-x^2)/4)’,[1 3.4]) hold […]

1 10.9 Write the following second-order ODEs as systems of two first-order ODEs: (a), where g, T, and w are constants. (b). Solution (a) Define , . With these definitions, the system of two first-order ODEs is: 1 g —–d2h […]

1 10.1 Consider the following first-order ODE: from to with (a) Solve with Euler’s explicit method using . (b) Solve with the modified Euler method using . (c) Solve with the classical fourth-order Runge–Kutta method using . The analytical solution […]

1 9.9 The area of the shaded region shown in the figure can be calculated by: Evaluate the integral using the following methods: (a) Simpson’s 1/3 method. Divide the whole interval into four subintervals. (b) Simpson’s 3/8 method. Divide the […]

1 9.1 The function is given in the following tabulated form. Compute with and with . (a) Use the composite rectangle method. (b) Use the composite trapezoidal method. (c) Use the composite Simpson’s 3/8 method. Solution (a) For the composite […]

1 8.35 The following data for mean velocity near the wall in a fully developed turbulent pipe air flow was measured [J. Laufer, “The Structure of Turbulence in Fully Developed Pipe Flow,” U.S. National Advisory Committee for Aeronautics (NACA), Technical […]

3 >> format compact >> x=[0 1 2 3 4]; >> y=[0 1 2 3 4]; >> f=[0 3 14 7 5 8 10 14 12 10 2 7 8 9 7 Note that in the MATLAB script, i is […]

1 8.15 Use Lagrange polynomials to develop a difference formula for the second derivative of a function that is specified by a discrete set of data points with unequal spacing. The formula determines the second derivative at point using points […]

1 8.1 Given the following data: find the first derivative at the point . (a) Use the three-point forward difference formula. (b) Use the three-point backward difference formula. (c) Use the two-point central difference formula. Solution (a) The three point […]

3 (b) Quadratic function that fits the data has the form: The following program written in a script file uses the user-defined function QuadFit from Problem 5.20 to find the quadratic function that best fits the data. It also plots […]

1 6.32 Use MATLAB’s built-in functions to determine the coefficients of the third-order polynomial, (where x is the number of years after 1981) that best fits the data in Problem 6.31. Use the polynomial to estimate the percent of computer […]

3 y=[0 3 4.5 5.8 5.9 5.8 6.2 7.4 9.6 15.6 20.7 26.7 31.1 35.6 39.3 41.5]; n=length(x); [a,Er] = CubicPolyFit(x,y) When the program is executed, the following plot is displayed in the Figure Window: 0 1 2 3 4 […]

1 6.14 Determine the fourth-order Newt on’s interpolating polynomial that passes through the data poi nts given in Problem 6.13. Use the polynomial to calculate the power at a wind speed of 26 mph. Solution Write the data in column […]