Problem 35 - Algebra and Trigonometry

Question

Group members should choose a particular field of interest. Research how linear programming is used to solve problems in that field. If possible, investigate the solution of a specific practical problem. Present a report on your findings, including the contributions of George Dantzig, Narendra Karmarkar, and L. G. Khachion to linear programming.

Step-by-Step Solution

Answer

Sorry, this is a research-based assignment and there is no fixed answer since selected fields and researched problems may be different for every student. The work is aptly submitted once a detailed report is presented featuring the chosen field, analysis of a problem, its solution using linear programming, and the contributions of the three mentioned experts in the field of linear programming.

Step 1: Choosing a field

Choose a specific field where linear programming is actively used. Some of the popular areas can be logistics, operations management, scheduling problems, etc.

Step 2: Research on linear programming applications

Once you have chosen your field, carry out a comprehensive research on how linear programming is implemented in this field. You can check academic journals, scientific articles, and even industry reports for detailed information.

Step 3: Picking up a specific problem

Search and analyze a particular problem within your chosen field that has been solved using linear programming techniques. Try to understand the problem formulation, linear programming model development, and the execution of the solution.

Step 4: Learning about Linear Programming Pioneers

Research the significant contributions of George Dantzig, Narendra Karmarkar, and L. G. Khachion in the domain of linear programming. Understand their theories, concepts or models they proposed, and include those findings in your report.

Step 5: Report writing

Collate your findings in a structured manner. Start with an introduction about the field and the usage of linear programming in that field. Then describe the specific problem and its solution details. Do mention about the methodology and finally conclude your report mentioning about the contributions of George Dantzig, Narendra Karmarkar, and L. G. Khachion