Resolução gráfica de um problema de programação linear utilizando a folha gráfica 3D do GeoGebra

• Autores: Robert Sousa Sousa, Crispiniano Jesus Furtado, João Carlos Horta
• Localización: Revista do Instituto GeoGebra Internacional de São Paulo, ISSN-e 2237-9657, Vol. 7, Nº. 2, 2018, págs. 45-64
• Idioma: portugués
• Títulos paralelos:
  • Graphical resolution of Linear Programming problems, using 3D graphics sheet of GeoGebra
• Enlaces
  • Texto completo (pdf)
• Resumen
  • English

    The use of GeoGebra software has been recurrent to improve our ability to understand mathematics, especially as a powerful tool to aid teaching and consequent success in learning environments. We consider the graphical resolution, with three variables of Linear Programming (PL) problems, using the GeoGebra dynamic software with the 3D graphic sheet.

    Problems of PL in the plane are easily conceived and solved by the analytical and graphical method. However, when the admissible regions are polyhedral (involving three decision variables), the task is not trivial. It requires auxiliary constructions and some insight as we conclude in this article. Thus, the main purpose is to represent graphically a PL problem and determine its (optimal) solution using the graphical environment of GeoGebra. observed in the research, but without providing reference authors: they shall come only through the text.

  • português

    O uso do software GeoGebra, tem sido recorrente para melhorar nossas capacidades de entendimento da matemática, sobretudo como uma ferramenta poderosa no auxílio ao ensino e consequente sucesso nos ambientes de aprendizagem. Neste trabalho, consideramos a resolução gráfica, com três variáveis de problemas de Programação Linear (PL), com recurso ao software dinâmico GeoGebra, a folha gráfica 3D. Problemas de PL no plano, são facilmente concebidos e resolvidos pelo método gráfico e analítico. Porém,quando as regiões admissíveis são poliedros (envolvendo três variáveis de decisão), a tarefa não é trivial. Requer construções auxiliares e alguma perspicácia como concluímos neste artigo. Assim, o objetivo principal é representar graficamente um problema de PL e determinar a sua solução (ótima) recorrendo ao ambiente gráfico do GeoGebra.

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