Introduction to Mathematical Programming. Part I

This textbook is intended for students of technical and economic universities. It is a result of my teaching of mathematical programming, optimization methods and operations research to students of Czestochowa University of Technology, including Erasmus+ Program students, for over ten years.

• The second part will focus on non-linear programming problems.
• The textbook is divided into five main chapters.

This is the first part of a planned series (an intended series), limited to the presentation of issues related to linear programming. Chapter 1 is a reminder of some mathematical topics (the basics of linear algebra and systems of linear equations) that will help the readers understand the material discussed.

• In chapter 3, the transportation problem with applications will be considered.
• Chapter 4 deals with a special kind of linear programing, so-called integer programming.
• And finally, Chapter 5 shows how the Maple package can be used to solve any linear programming problems.

Chapter 2 considers linear programming problems from its standard form to practical, highly common, with various examples of applications at the intersection of technology and economics.