TotheStudent.qxd 11/8/10 6:06 PM Page 2 To the Student How to Use this Book Effectively and Efficiently As you begin this course in Finite Mathematics,you may can be confident in continuing on in the section.Ifyou feel overwhelmed by the number of topics covered.Don’t don’t get it right,go back over the explanations and worry! Your concerns are normal,and,with the help ofyour examples to see what you might have missed.Then instructor and this text,you will be fine. rework the problem.Ask for help ifyou miss it again. After teaching Finite Mathematics for over 30 years and Ifyou follow these practices throughout the section, dealing with the math-related questions ofmy four children, you will find that you have probably done many of I know what you are going through.This text was written your homework problems.In the exercises,every Now with you,the student,in mind,to help you master the basic Work problem number is yellowwith a pencil icon . concepts ofFinite Mathematics. All the odd-numbered problems have answers in the The many learning aids featured in the text and displayed back ofthe book and worked-out solutions in the on the facing page,are there to make your study easier and Student Solutions Manual.Be sure you have made an more rewarding,helping you get the most from the time and honest effort before looking at a worked-out solution. effort you invest.If you attend class,work hard,and read 5. Use the Chapter Reviewfeature.This ensures familiarity and study this text,you will build the knowledge and skills with the definitions,formulas,and equations listed you need to be successful.Here’s how you can use this book under Things To Know.Ifyou are unsure ofan item to your benefit: here,use the page reference to go back and review it. Go through the Objectives and be sure you can answer 1. Please,read the material assigned to you.First,and “Yes”to the question “I should be able to...”Review most important,this book is meant to be read! You will Exercises that relate to each objective are listed to find that the text has additional explanations and help you. examples that will help you. 6. Lastly,do the problems in the Review Exercises.Blue 2. Start your study ofa section with Preparing for this problem numbers indicate my suggestions for use in a Section.Quickly,this list ofconcepts will show you practice test.Do some ofthe other problems in the what to expect from the section.Reviewing now will review for more practice to prepare for your exam. make the section easier to understand and will actually save you time and effort. Please do not hesitate to contact me, through the 3. Read the list ofObjectives.Provided at the beginning publisher of this book, John Wiley and Sons, with any ofeach section,these will help you recognize the suggestions or comments that would improve this text. important ideas and skills developed in the section. I look forward to hearing from you. 4. Complete the Now Work Problems.After a concept has been introduced and an example given,you will see Now Work Problem ##.Go to the exercises at the end Best wishes, ofthe section,work the problem cited,and check your answer in the back ofthe book.Ifyou get it right,you Michael Sullivan FMUsetheLearningTools.qxd 11/12/10 3:33 AM Page 3 Use the Learning Tools! Feature Description Chapter Opening and Project Each chapter begins with a situational problem and ends with the related project. OBJECTIVES Each section begins with a list of objectives. The objective heading also appears in the text where each objective is covered. Use these as an outline of the important elements of the section. PREPARING FOR THIS SECTION Most sections begin with a list of key concepts to review, with page numbers. This gets you ready for the section. NOW WORK THE‘ARE YOU Special problems that support the PREPARING FOR THIS SECTIONfeature. PREPARED?’ PROBLEMS Solve these problems to be sure you are ready for this section. These follow most examples, and direct you to a related exercise. If NOW WORK PROBLEMS you do this problem, you will have confidence in going on. Step-by-Step,Annotated Examples contain detailed, intermediate steps. Many include additional Examples annotations. Read and study with pencil and paper handy. Graphing Calculator/ These optional examples and problemsrequire the use of a graphing Spreadsheet Examples and utility or a spreadsheet program such as Microsoft Excel, and are Exercises marked by a special icon and purplenumbers. Do Your Homework! Problem Type Description ‘Are You Prepared?’ These assess your retention of the prerequisite material you’ll need for the section. Answers are given at the end of the section exercises. Concepts and Vocabulary These short-answer questions, mainly fill-in-the-blank and true/false items, assess your understanding of key definitions and concepts in the current section. Skill Building Correlated to section examples, these problems provide straightfor- ward practice. Applications and Extensions These problems allow you to apply your skills to real-world problems, and to explore concepts learned in this section. Discussion and Writing “Discussion and Writing” problems are indicated by greenproblem numbers. These support class discussion, verbalization of mathemati- cal ideas, and writing and research projects. Many examples refer you to a related homework problem at the end of NOW WORK PROBLEMS the section. These related problems are marked by a and yellow numbers. FMUsetheLearningTools.qxd 11/12/10 3:33 AM Page 4 FMTitlePage.qxd 11/11/10 11:15 PM Page i FMTitlePage.qxd 11/11/10 11:15 PM Page ii FMTitlePage.qxd 11/11/10 11:15 PM Page iii Finite Mathematics An Applied Approach FMTitlePage.qxd 11/11/10 11:15 PM Page iv FMTitlePage.qxd 11/11/10 11:15 PM Page v Eleventh Edition Finite Mathematics An Applied Approach Michael Sullivan CChhiiccaaggoo SSttaattee UUnniivveerrssiittyy JOHN WILEY & SONS, INC. FMTitlePage.qxd 11/11/10 11:15 PM Page vi VICE PRESIDENT & PUBLISHER LaurieRosatone ACQUISITIONS EDITOR David Dietz PROJECT EDITOR Ellen Keohane SENIOR EDITORIAL ASSISTANT Pamela Lashbrook MARKETING MANAGER Jonathan Cotrell MEDIA EDITOR Melissa Edwards PRODUCTION MANAGER Dorothy Sinclair PRODUCTION EDITOR Sandra Dumas DESIGN DIRECTOR Harry Nolan MEDIA ASSISTANT Lisa Sabitini PHOTO DEPARTMENT MANAGER Hilary Newman PHOTO EDITOR Lisa Gee PRODUCTION MANAGEMENT SERVICES Robert and Carol Walters This book was typeset in Minion at MPS Limited,a Macmillan Company and printed and bound by QuadGraphics,Inc.The cover was printed by QuadGraphics,Inc. 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