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Suppose that the management at TelecomOptics has decided that each market is to be supplied from a single manufacturing location. Formulate your problem as a linear in

Assignment Task

Suppose that the management at TelecomOptics has decided that each market is to be supplied from a single manufacturing location. Formulate your problem as a linear integer program and determine the manufacturing location for each market. Discuss the advantages and/or disadvantages of having a single supplier policy.

To fully protect each battlefield, the total protection value across all Avenger members in that battlefield must be at least the same as the threat level of the battlefield. In addition, when deploying the Avengers, the following logical constraints must be satisfied:

  1. Each Avenger either needs to stay at the Avengers Tower or to be deployed to one battlefield.
  2. At least one and no more than 3 Avengers can be deployed to each battlefield.
  3. The total number of Avengers deployed must not be more than 5.
  4. At least one of Iron Man and Captain America needs to stay at the Avengers Tower (i.e., not deployed to any battlefield).
  5. If Black Widow is present at a battlefield, then Captain America must also be present at that battlefield.
  6. If Black Widow and Hawkeye are both present at a battlefield, then they will argue and not provide any protection to the world. This means that at most one of Black Widow and Hawkeye can be present at any battlefield.
  7. If Hawkeye is present at a battlefield, then at least one of Iron Man and Thor must also be present at that battlefield, to prevent Hawkeye from getting bored and leaving.