Question: What is a linear program? Explain in at least one paragraph. Provide a concrete example. What are constraints in linear programming problems? Offer at least

  1. What is a linear program? Explain in at least one paragraph. Provide a concrete example.
  2. What are constraints in linear programming problems? Offer at least one example.
  3. What is an optimization problem? Offer an example and explain.
  4. What is a reduction (specifically, changing one problem into another)? Provide an example.
  5. Given Example 10.4.4 and Theorem 10.4.5 in the textbook, explain how you would transform the matching problem into a maximal flow problem.
  6. Once you complete question 5, use the already known linear program that solves the maximal flow problem.

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