An Economic Interpretation of Linear Programming

✍ Scribed by Quirino Paris (auth.)

Publisher: Palgrave Macmillan US
Year: 2016
Tongue: English
Leaves: 468
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This text covers the basic theory and computation for mathematical modeling in linear programming. It provides a strong background on how to set up mathematical proofs and high-level computation methods, and includes substantial background material and direction. Paris presents an intuitive and novel discussion of what it means to solve a system of equations that is a crucial stepping stone for solving any linear program. The discussion of the simplex method for solving linear programs gives an economic interpretation to every step of the simplex algorithm. The text combines in a unique and novel way the microeconomics of production with the structure of linear programming to give students and scholars of economics a clear notion of what it means, formulating a model of economic equilibrium and the computation of opportunity cost in the presence of many outputs and inputs.

✦ Table of Contents

Front Matter....Pages i-xix
Introduction to Linear Programming....Pages 1-38
Primal and Dual LP Problems....Pages 39-50
Setting Up LP Problems....Pages 51-86
The Transportation and Transshipment Problems....Pages 87-101
Spaces, Cones, Bases and Extreme Points....Pages 103-128
Solving Systems of Equations....Pages 129-148
Primal Simplex Algorithm: The Price-Taking Firm....Pages 149-194
The Dual Simplex Algorithm....Pages 195-210
Linear Programming and the Lagrangean Function....Pages 211-218
The Artificial Variable Algorithm....Pages 219-234
The Artificial Constraint Algorithm....Pages 235-240
The Diet Problem Revisited....Pages 241-253
Parametric Programming: Input Demand Functions....Pages 255-276
Parametric Programming: Output Supply Functions....Pages 277-294
Dealing with Multiple Optimal Solutions....Pages 295-307
Solid Waste Management....Pages 309-320
The Choice of Techniques in a Farm Production Model....Pages 321-335
Cattle Ranch Management....Pages 337-350
The Measurement of Technical and Economic Efficiency....Pages 351-368
Decentralized Economic Planning....Pages 369-383
Theorems of Linear Programming....Pages 385-437
Back Matter....Pages 439-454

✦ Subjects

Economic Theory/Quantitative Economics/Mathematical Methods;Software Engineering/Programming and Operating Systems;Econometrics

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