HC Express transport Inc. has n warehouses located in Spain that supply m clients. The manager has decided to reorganize the distribution of the products from the warehouses to its clients. A truck will be sent to each client from the corresponding warehouse(s). Each warehouse has a capacity cj, and each week clients demand ai units of the products. The manager has computed the transportation costs between each client i and warehouse j (tij). Formulate a linear program to decide the transportation. Define decision variables, constraints and objective. After solving the problem, the manager observes that some clients are supplied from more than one warehouse. For practical reasons (the definition of sales regions), the manager wants to supply each client from only one warehouse. Reformulate the problem. Redefine decision variables, constraints and objective.