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Welcome! In this video we’ll be discussing the linear programming formulation of the Transportation problem. In a transportation problem the goal is to produce products at supply locations (or origins) and transport them to destinations where they’re demanded at minimum costs. We will be writing an LP formulation for this transportation matrix. The origins are 2 plants at Boston and Toronto with supplies or capacities of 300 and 500 units, while the destinations are 3 distribution centers with demands of 200, 300 and 250 respectively. The costs of transporting a unit of the product from origins to destinations are seen here. For example, it costs $6 to ship a unit of the product from Boston to Distribution centre 2. Now let’s draw a transportation network for this problem. These circles are called nodes for the origins or in this case plants. And these are the nodes for the destinations. Here are the plant capacities and here are the demands at the destinations. Here are the shipping...