An Economic Interpretation of Linear Programming / / by Quirino Paris

• Record Nr.: UNINA9910254861703321
• Autore: Paris Quirino
• Pubbl/distr/stampa: New York : , : Palgrave Macmillan US : , : Imprint : Palgrave Macmillan, , 2016
• ISBN: 9781137573926; 1137573929
• Edizione: [1st ed. 2016.]
• Descrizione fisica: 1 online resource (XIX, 454 p.)
• Disciplina: 519.7/2
• Soggetti: Econometrics; Software engineering; Quantitative Economics; Software Engineering
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction to linear programming -- Primal and dual LP problems -- Setting up lp problems -- The transportation and transshipment problems -- Spaces, cones, bases and extreme points -- Solving systems of equations -- Primal simplex algorithm : the price-taking firm -- The dual simplex algorithm -- Linear programming and the lagrangean function -- The artificial variable algorithm -- The artificial constraint algorithm -- The diet problem revisited -- Parametric programming: input demand functions -- Parametric programming: output supply functions -- Dealing with multiple optimal solutions -- Solid waste management -- The choice of techniques in a farm production model -- Cattle ranch management -- The measurement of technical and economic efficiency -- Decentralized economic planning -- Theorems of linear programming.
• Sommario/riassunto: 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.