A company has two factories and three sales centers. Sale is planning the scheduling of its production for the next four months. The supply for months 1, 2, 3 and 4 is respectively 4,000, 6,000, 3,000 and 2,000 tons of the product for plant 1, and 7,500, 10,000, 8,000 and 6,000 tons for plant 2. In the same way, there have been forecast sales for periods 1, 2, 3 and 4 in each of the three consumption centers. For the first center there will be 5000, 5500, 4000 and 3000 tons; for the second center there will be 8000, 9000, 8000 and 7000 tons, while for the last center there will be 1000, 10000, 11000 and 7000 tons. The unit freight shown in the following table is known:
Fabrica=Factory; Centro de venta=Sales center.
a) Formulate the corresponding transport network
b) Formulate the corresponding linear program
c) Find a solution.
