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Business Mathematics with Cases and Applications

出版	Independently Published, 2017-07-10
主題	Education / Decision-Making & Problem Solving
ISBN	15218031969781521803196
URL	http://books.google.com.hk/books?id=G97ntAEACAAJ&hl=&source=gbs_api

註釋The future success of any business depends heavily on how savvy its management is in spotting trends and developing appropriate strategies. The leaders of the best companies often seem to have a sixth sense for when to change direction to stay a step ahead of the competition. Business managements make daily decisions on many issues, such as how much and where to produce, for which market, what prices to set, and how much stock to keep. Mathematical models can help to make the best decisions, among the possible alternatives.The objective of this book is to present different mathematical methods, and some of their applications to managerial decision making, concerning production, inventory, distribution, financing and investment.A problem in the real world is modeled, usually in mathematical terms, then mathematical techniques, together with data analysis and computational algorithms are applied, in order to find ways to do the job better. Management will find many of these techniques relevant. The areas of Logistics, Supply Chain Management, Decision Sciences, and Manufacturing Management deal with similar applications. This book is concerned with business mathematics with cases and different business applications. Chapter 1 discusses the basics concept of mathematics such as limit, function, continuity, discontinuity.Chapter 2 discusses the concept of differential coefficient or derivatives, differentiation of the product of a function, differentiation of a quotient of function, differentiation of the function of function.Chapter 3 discusses the business application of differentiation: optimization of single variable function and multivariable function, marginal cost, optimizing economic function.Chapter 4 discusses the basics of integration: method of integration by substitution, method of integration by parts, method of integration by partial fraction.Chapter 5 discusses the business application of integration: average function value, finding areas by definite integration, economic application; finding cost function from marginal cost, finding demand function and revenue function from marginal revenue function, consumer's surplus and producer's surplus.Chapter6 discusses the determinants and its different properties.Chapter7 discusses the matrices and their business applications.Chapter8 discusses the basic concept of probability, theorems of probability, permutation and combinations.Chapter9 discusses the probability distribution and their business applications.Chapter10 discusses the measures of central tendencies: mean, median, mode, geometric mean, harmonic mean.Chapter11 discusses the correlation and regression and their business applications.Chapter12 discusses the business forecasting its steps, uses, advantages, disadvantages and different methods.Chapter13 discusses the index numbers.Chapter14 discusses the linear programming its assumptions, advantages, disadvantages and problem formulation and solution of linear programming by graphical method.Chapter15 discusses the solution of linear programming problem by simplex methodChapter16 discusses the different methods of solving transportation problems.Chapter17 discusses the getting solution of assignment problems using Hungarian method.Chapter18 discusses the time value of money and interest rate problems.Chapter19 discusses the valuation of annuities.Chapter20 discusses the problems on loans, debentures and sinking funds.