(Solution Library) A factory has two production lines available to make a product. The first can produce one lot of the product in t_1 hours at cost c_1, and the


Question: A factory has two production lines available to make a product. The first can produce one lot of the product in \(t_{1}\) hours at cost \(c_{1}\), and the second requires \(t_{2}\) hours and cost \(c_{2}\). The plant manager wishes to find the least costly way to produce \(b\) lots in a total of at most \(T\) hours. An integer number \(x_{1}\) will be produced on line 1 , and integer number \(x_{2}\) on line 2. Identify each of the following for this design problem.

  1. The decision variables
  2. The input parameters
  3. The objective function
  4. The constraints

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