A large supermarket chain has two plants which supply 5 warehouses with food and other grocery items. The table below summarizes the weekly plant capacities and the weekly warehouse needs (both stated in truckloads). Also shown are the shipping costs per truckload between each plant and each warehouse. Each plant can supply goods to each of the warehouses. Management wants to determine the number of truckloads that should be shipped from each plant to each warehouse in such a way as to minimize total shipping expenses. The weekly warehouse needs must be satisfied and the plant capacities cannot be exceeded. Let xij equal the number of truckloads shipped from plant i to warehouse j. Warehouse Weekly Capacity (Truckloads) 1 2 3 4 5 Plant 1 $300 $275 $200 $175 $325 600 Plant 2 $250 $300 $225 $225 $350 525 Weekly Demand (truckloads) 250 190 175 200 125 How much should be shipped from each plant to each warehouse to minimize the shippeing cost? What is the minimum cost?
A large supermarket chain has two plants which supply 5 warehouses w
by Panel | Nov 14, 2020 | Uncategorized