SMANUAL
J
FINITE M ATHEMATICS
j j
AND ITS A PPLICATIONS
j j j
THIRTEENTH EDITION j
Larry J. Goldstein
j j
GoldsteinjEducationaljTechnologies
David I. Schneider j j
UniversityjofjMaryland
Martha J. Siegel j j
TowsonjUniversity
,Thejauthorjandjpublisherjofjthisjbookjhavejusedjtheirjbestjeffortsjinjpreparingjthisjbook.jThesejeffortsjincludejthejdevel
opment,jresearch,jandjtestingjofjthejtheoriesjandjprogramsjtojdeterminejtheirjeffectiveness.jThejauthorjandjpublisherjm
akejnojwarrantyjofjanyjkind,jexpressedjorjimplied,jwithjregardjtojthesejprogramsjorjthejdocumentationjcontainedjinjthisj
book.jThejauthorjandjpublisherjshalljnotjbejliablejinjanyjeventjforjincidentaljorjconsequentialjdamagesjinjconnectionjwi
th,jorjarisingjoutjof,jthejfurnishing,jperformance,jorjusejofjthesejprograms.
ReproducedjbyjPearsonjfromjelectronicjfilesjsuppliedjbyjthejauthor.jCo
pyrightj©j2023,j2018,j2014j PearsonjEducation,jInc.
Alljrightsjreserved.jNojpartjofjthisjpublicationjmayjbejreproduced,jstoredjinjajretrievaljsystem,jorjtransmitted,jinjanyjfor
mjorjbyjanyjmeans,jelectronic,jmechanical,jphotocopying,jrecording,jorjotherwise,jwithoutjthejpriorjwrittenjpermission
jofjthejpublisher.jPrintedjinjthejUnitedjStatesjofjAmerica.
ISBN-13:j 978-0-13-761654-1
, Contents
Chapterj1: LinearjEquationsjandjStraightjLines 1–1
Chapterj2: Matrices 2–1
Chapterj3: LinearjProgramming,jAjGeometricjApproach 3–1
Chapterj4: ThejSimplexjMethod 4–1
Chapterj5: SetsjandjCounting 5–1
Chapterj6: Probability 6–1
Chapterj7: ProbabilityjandjStatistics 7–1
Chapterj8: MarkovjProcesses 8–1
Chapterj9: ThejTheoryjofjGames 9–1
Chapterj10: ThejMathematicsjofjFinance 10–1
Chapterj11: Logic 11–1
Chapterj12: DifferencejEquationsjandjMathematicaljModels 12–1
,