How is the transportation problem formulated as a linear programming model?
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The transportation problem is formulated by defining decision variables (x_ij) for the amount shipped from supply point i to demand point j. The objective function minimizes the total transportation cost, subject to supply and demand constraints.
The transportation problem is formulated as a linear programming model by defining decision variables that represent the quantity of goods transported from each supply point to each demand point. The objective function is to minimize the total transportation cost, which is calculated as the sum of the product of the cost per unit transported and the decision variables for all routes. Constraints are established to ensure that the total amount shipped from each supply point does not exceed its available supply and that the total amount received at each demand point meets its required demand.
The transportation problem is formulated as a linear programming model by defining variables to represent the quantity of goods transported from each supply point to each demand point, establishing an objective function to minimize transportation costs, and incorporating constraints that ensure the total shipments from each supply point do not exceed its capacity and that the total shipments to each demand point meet its requirements.
The transportation problem is formulated as a linear programming model by defining objective functions to minimize transportation costs, subject to supply and demand constraints for each source and destination.