# Applied mathematics for business, economics, and the social sciences

McGraw-Hill, 1979 - Business & Economics - 649 pages

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### Contents

 TWO VARIABLES 125 SYSTEMS 139 Systems of equations Solution sets 147 Graphical analysis Elimination procedure for 3 X 155 APPLICATIONS 161 General form and assumptions Linear cost functions 172 Assumptions Breakeven analysis 181 Introduction A scenario Structural constraints 210
 Limits of functions Some properties of limits Limits 382 4 THE DERIVATIVE 387 CLASSICAL 421 Relative maxima and minima Stationary points 442 Key data points Ultimate direction 450 Revenue applications Cost applications Profit applications 465 Marginal revenue Marginal cost Marginal profit analysis 472 FUNCTIONS 490

 Area of feasible solutions Incorporating the objective 222 THE SIMPLEX METHOD 229 The algebra of the simplex method Adding the objective 246 MATRIX ALGEBRA 253 Matrix addition and subtraction Scalar multiplication 266 Determining the inverse Finding the inverse using 282 Simple interest Compound interest Compound interest 295 Compound amount Present value Other applications 305 The sum of an annuity Determining the size of an annuity 311 The present value of an annuity Determining the size of 317 NONLINEAR FUNCTIONS 329 Mathematical form Graphical representation Special 340 Logarithms Properties of logarithms Logarithmic 361 DIFFERENTIATION 369
 Derivatives of bivariate functions Interpreting partial 499 Stationary points Distinguishing among stationary points 511 OVERVIEW 521 Integration Rules of integration 527 The definite integral Evaluating definite integrals Definite 548 OPTIONAL 557 INTRODUCTION 567 Probabilities and odds Some rules of probability 584 Random variables Probability distributions Mean 592 5 CONTINUOUS PROBABILITY DISTRIBUTIONS 598 APPENDIX A TABLES 615 INDEX 643 Copyright