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What is meant by Duality. In your own words, describe what is meant by Duality and why you would use it

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What is meant by Duality. In your own words, describe what is meant by Duality and why you would use it. Then, makeup your own problem first solve it using Simplex method and then set up the problem as the dual problem and solve it. How is the result related to the simplex problem? Are the solutions feasible? Explain the relationship between the simplex method and the dual problem. Would it be necessary to add a slack variable? Explain why or why not. Again, use your real-world meaning to help give the solution more meaning and explain the results in terms of those definitions. Also please write out the problem that is made up by you.
Be sure to include your references and use APA Style as the sole citation and reference style

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