I had a question about transportation problem. But I have some issues of finding constraints. Formulas are listed below; question as well. I hope someone can help me to define constraints
Info for Question:
Willy Wonka Chocolate Factory produces chocolate bars from different ingredients like cocoa, cocoa butter, milk, sugar, hazelnut, pistachio etc. Willie Wonka has two cocoa butter plants located in Balıkesir and Muğla. Cocoa butter is produced from cocoa at these two plants or it is imported at the İzmir harbor. The produced and imported cocoa butter is transported to chocolate plants in İstanbul and Adana, where chocolate bars are produced. Willy Wonka ships chocolate produced at the chocolate plants to its main distribution centers in İstanbul, İzmir, Ankara, Bolu, Trabzon, and to the İzmir harbor for export. The estimates on the transportation costs between the cocoa butter plants and the chocolate plants; and between the chocolate plants and the distribution centers are given in Table 1. Table 2 contains the chocolate demand forecast at the distribution centers for the next year. Table 3 shows the current cocoa butter and chocolate production capacities as well as cocoa butter yield. Table 4 summarizes the current distribution plan prepared for the next year.
You have to figure out how many tons of cocoa butter to ship from each cocoa butter plant to each chocolate plant and how many tons of the chocolate to ship from each chocolate plant to each distributor. You have to make sure that none of the capacities of thee plants is exceeded, and all the chocolate demand of the distributors is satisfied. The shipment plan that minimizes the total costs must be quite different from the current plant.
question.gms (2.65 KB)
