Simplex Method – Tableau Method and Optimality Testing
Simplex algorithm for linear programming covering artificial variables, optimality testing, tableau method, and practical business applications.
Linear Programming Introduction
Introduction to operations research and linear programming covering problem formulation, graphical solution, augmented form, and general LP concepts.
Quantitative Techniques – Scientific Management and Sampling Methods
Comprehensive introduction to quantitative techniques covering historical development from Fredrick Taylor’s scientific management principles. Explores statistical analysis fundamentals including data types, sampling methods, frequency distributions, and data presentation techniques. Covers primary/secondary data collection, various sampling approaches, classification methods, and graphical presentation tools including histograms, charts, and diagrams.
Duality in Linear Programming: Concepts and Applications
This document introduces the concept of duality in linear programming—linking primal and dual problems for enhanced managerial insights. Explains the significance of shadow prices, rules for converting problems, and the economic impact of resource changes. Provides stepwise dual formation and real-world dual analysis examples.
Graphical Method for Linear Programming Problems
Explores the graphical method for solving linear programming problems with two decision variables. Presents a step-by-step approach—formulating, graphing constraints, defining feasible region, and pinpointing optimal solution. Discusses special cases, multiple solutions, and interpreting graph results, preparing students for visual analysis in LPP scenarios.