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Preface | |
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Features of the Book | |
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List of MathEcon Screens | |
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List of Excel Worksheets | |
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Functions in Economics | |
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Introduction | |
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Coordinates and Graphs | |
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Variables and Functions | |
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Basic Rules of Algebra | |
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Fractions and Sharing | |
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Powers and Indices | |
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Functions of More Than One Variable | |
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Economic Variables and Functions | |
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Total and Average Revenue | |
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Total and Average Cost | |
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Profit | |
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Production Functions, Isoquants and the Average Product of Labour | |
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Functions in Excel | |
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Chapter 1 Answers to Practice Problems | |
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Equations in Economics | |
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Introduction | |
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Rewriting and Solving Equations | |
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Substitution | |
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Demand and Supply | |
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Cost-Volume-Profit Analysis | |
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Linear Equations | |
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Budget Lines | |
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Constant Substitution Along a Line | |
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Quadratic Equations | |
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Intersection of MC with MR or AVC | |
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Simultaneous Equations | |
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Simultaneous Equilibrium in Related Markets | |
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Exponential Functions | |
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Logarithmic Functions | |
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Plotting and Solving Equations in Excel | |
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Chapter 2 Answers to Practice Problems | |
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Macroeconomic Models | |
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Introduction | |
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Notation and Model Specification | |
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Identifying Equilibrium Income | |
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Keynesian Cross Model | |
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IS-LM Analysis | |
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Chapter 3 Answers to Practice Problems | |
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Changes, Rates, Finance and Series | |
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Introduction | |
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Percentage Changes | |
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Simple and Compound Interest | |
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Annual Equivalent Rate | |
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Nominal and Real Interest Rates | |
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Growth Rates and Logarithms | |
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Depreciation | |
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Net Present Value | |
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Series | |
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Savings and Loans with Regular Payments | |
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Prices of Bills and Bonds and the Rate of Interest | |
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Financial Calculations with Excel | |
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Chapter 4 Answers to Practice Problems | |
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Differentiation in Economics | |
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Introduction | |
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Using Differentiation in Economics | |
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The Basic Rules of Differentiation | |
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Application to Economic Analysis | |
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Utility Functions | |
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Revenue Functions | |
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Short-run Production Functions | |
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Cost Functions | |
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Point Elasticity of Demand and of Supply | |
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Investment Multiplier | |
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Chapter 5 Answers to Practice Problems | |
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Maximum and Minimum Values | |
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Introduction | |
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Identifying Maximum and Minimum Turning Points | |
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Maximum Total Revenue | |
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Maximum Profit | |
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Minimum Average Cost | |
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Average and Marginal Product of Labour | |
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Tax Rate which Maximizes Tax Revenue | |
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Minimizing Total Inventory Costs | |
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Chapter 6 Answers to Practice Problems | |
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Further Rules of Differentiation | |
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Introduction | |
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The Chain Rule | |
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The Product Rule | |
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The Quotient Rule | |
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Marginal Revenue, Price Elasticity and Maximum Total Revenue | |
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Optimal Production and Cost Relationships | |
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Exponential and Natural Logarithmic Functions | |
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Applications to Economic Analysis | |
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Chapter 7 Answers to Practice Problems | |
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Partial Differentiation in Economics | |
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Introduction | |
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Partial Derivatives | |
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Small Increments Formula | |
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Multipliers | |
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Differentials and Implicit Differentiation | |
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Slope of an Indifference Curve | |
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Elasticities | |
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Logarithmic Demand Functions | |
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Long-run Production Functions | |
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Second Order Partial Derivatives | |
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Optimization of Multivariate Functions | |
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Price Discriminating Monopoly | |
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Chapter 8 Answers to Practice Problems | |
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Constrained Maxima and Minima | |
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Introduction | |
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Substitution Method | |
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Lagrange Multiplier Method | |
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Chapter 9 Answers to Practice Problems | |
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Integration in Economics | |
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Introduction | |
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Rules of Integration | |
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Finding Total Functions from Marginal Functions | |
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Area Under a Curve | |
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Definite Integrals in Economics | |
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Chapter 10 Answers to Practice Problems | |
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Linear Programming | |
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Introduction | |
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Formulating Linear Programming Problems | |
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Graphical Solution | |
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The Optimal Solution and the Feasible Set | |
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Using Excel Solver | |
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Sensitivity Analysis | |
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Minimization Subject to Constraints | |
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Chapter 11 Answers to Practice Problems | |
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Matrices in Economics | |
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Introduction | |
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Matrices and Vectors | |
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Matrix Addition and Subtraction | |
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Multiplication of Matrices | |
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Handling Equation Systems | |
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Determinants | |
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Matrix Inversion | |
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Systems of Equations in Economics | |
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Matrix Operations in Excel | |
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Chapter 12 Answers to Practice Problems | |
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Index | |