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VanMetals has $3500 available for the production of new products. Wall Inc. will buy all the products they can produce. After an initial screening, VanMetals

VanMetals has$3500 availablefor the production of new products. Wall Inc. will buy all the products they can produce.

After an initial screening, VanMetals reduced the production alternatives to tables and chairs. Eachtable can be produced with a cost of $400.Each chair can be produced for $350.

VanMetals candevote up to 100 hoursto these new products; eachtable is expected to require 16 hours, and eachchair is expected to require 8 hours. The selling prices are $600 per table and $400 per chair.

VanMetals's owner would like to use all-integer linear programming without relaxation to determine the number of tables and the number of chairs to produce to maximize revenue.

  • What are the decision variables? (2 points)
  • What is the objective function for revenue? (3 points)
  • What are the constraints? (4 points)
  • What is the number of tables and the number of chairs to be produced to maximize revenue? (4 points)
  • What is the Maximum revenue they can expect? (3 points)
  • Draw the graphical solution of the all-integer problem. (4 points)

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