Public University of Navarre

Academic year: 2023/2024 | Previous academic years:  2022/2023  |  2021/2022  |  2020/2021 
Double Bachelor's degree in Management, Business Administration and Law (international program) at the Universidad Pública de Navarra
Credits: 6 Type of subject: Mandatory Year: 3 Period: 1º S
Department: Estadística, Informática y Matemáticas

Partes de este texto:


Module/Subject matter

Quantitative Methods for Business.



This subject presents a classical content of Linear Programming applied to decision making in Management. The typical models that will be introduced here will be: Linear Programming, Integer and Multicriteria Programming, with application to decision makings in Production, Marketing, Finance, Human Resources, and Strategy. It is highlighted the use of exact methods for the resolution of linear programs and practical cases related to real companies. The practical point of view will be essential in the development of this subject.


General proficiencies

CG01. Capacity of Analysis

CG02. Capacity of Organization and Planning

CG04. Communication Skills in Foreign Languages

CG05. Computer Skills

CG06. Ability of Analyzing and Searching Information from different sources.

CG07. Capacity of Solving Problems

CG08. Capacity of Making Decisions.

CG09. Capacity of working in a team.

CG10. Working in an interdisciplinary team.

CG11. Working in an international context.

CG13. Capacity of working in diverse and multicultural scenarios.

CG14. Critic and Autocritic Capacity.

CG15. Ethical Commitment at the Work.

CG17. Capacity of autonomous learning.

CG18. Capacity of adapting to new situations.

CG19. Creativity.

CG21. Entrepreneurship Spirit and Leadership.

CG23. Sensitivity towards environmental and social topics.


Specific proficiencies

SP01  Understand economic institutions as a result and application of theoretical or formal representations about how the economy works.

SP02  Identify the sources of relevant economic information and their contents.

SP03  Derive from microeconomic and macroeconomic data the data and relevant information impossible to recognize for non-professionals.

SP04  Apply professional criteria based on the handling of technical instruments to the analysis of business management problems.

SP05  Issue advisory reports on specific situations of companies and markets.

SP06  Write projects on global management or on functional areas of the company.

SP07  Assess the situation and foreseeable evolution of a company from the relevant records of information.

SP11  Understand the nature of the company as an organization and place of interaction of agents with different interests.

SP13  Identify the company as a system and recognize the interdependencies between the different functional areas.


Learning outcomes

RE1) Developed knowledge of the use of mathematical models to make decisions.

RE2) Good understanding of the meaning of the use of algorithms to solve mathematical problems related to Business problems

RE3) Good applications skills of the use of quantitative methods in decision making in real problems in the different subsystems of the firm: Marketing, Production, Finance, Information Analysis, and Human Resources.

RE4) Development of the Analysis that the student can perform of one specific area of the firm using Quantitative Methods.

RE5) Summary and synthesis skills to evaluate the results of a quantitative model to make decisions in a company.



Training activity Methodology Hours
Theoretical sessions at the classroom The instructor will develop the topic objectives, its contents, and problems, highlighting the most difficult ones related to the unit to be explained. 30
Study of the theoretical sessions Reading of a short text related to the topic to study 03
Weekly own study Own study of the topics explained in the theoretical classes. 35
Practical classes at the classroom Development of practical exercises to be developed with the use of a computer. 30
Assignments writing Development of assignments to be given in to the instructor and could be discussed in class. 25
Consulting activities Presentation and discussion of the problems and difficulties found in the subject 01
Exam Study and development of the subject exams 26
Total   150



Subject Assessment

Ordinary Call Weight (%) Extraordinary Call Weight (%)
It allows
test resit
required grade
All Midterm exams- Cases Discussion 25% --- Yes, it takes part of the final exam 5 out of 10
All Final Exam 70% 100% Yes 5 out of 10
All Subject Feedback-Final Exam 5% --- Yes, it takes part of the final exam None
TOTAL Other instructions about assessment will be done during subject development 100% 100%    







Chapter 1: Introduction to Quantitative Methods and Business Analytics.

Chapter 2: An Introduction to Linear Programming.

Chapter 3: Linear Programming: Sensitivity Analysis and Interpretation of Solution.

Chapter 4: Linear Programming Applications.

Chapter 5: Linear Programming: The Simplex Method.

Chapter 6: Advanced Linear Programming Applications.

Chapter 7: Simplex-Based Sensitivity Analysis and Duality.

Chapter 8: Transportation, Assignment, and Transshipment Problems.

Chapter 9: Integer Linear Programming.

Chapter 10: Multicriteria Decisions.

Chapter 11: Applications of Linear Programming, Integer Programming and Multicriteria Programming in real cases in companies



Access the bibliography that your professor has requested from the Library.

Main References:

1) Anderson, D.R., Sweeney, D. J., Williams, T.A. Camm, J. and Martin, K. (2012): An Introduction to Management Science. Quantitative Approach to Decision Making. West Publishing Company. (ASW) (Main handbook)

Complementary References:

2) Hillier, F.S. and Hillier, M.S. (2011): Introduction to Management Science. A Modeling and Case Studies Approach with Spreadsheets. McGraw-Hill. (HH)

3) Hillier, F.S. and Liebermann, G.J. (2010): Introduction to Operations Research. McGraw-Hill. (HL)

4) Lawrence, A.L. and Pasternack, B.A. (2002): Applied Management Science. A Computer Integrated Approach for Decision Making. Wiley. (LP)

5) Powell, S.G. and Baker, K.R. (2009): Management Science. The Art of Modeling with Spreadsheets. Wiley. (PB) 6) Winston, W. (2005): Operations Research. Applications and Algorithms. Duxbury. (WW)



English. A C1 level of English is recommended to follow this subject. Students not fulfilling the C1 requirement could have problems to follow this subject.



Room for theoretical classes, computer rooms, and virtual course Mi Aulario. Roughtly speaking, the 80% of the teaching will be done in a room and the 20% in the virtual course Mi Aulario.