Discuss the formulation of the transportation problem, including the objective function and constraints.
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The transportation problem involves optimizing the distribution of a single commodity from multiple suppliers to multiple consumers while minimizing transportation costs. The objective function aims to minimize the total cost, which is the sum of the product of transportation quantities and their corresponding costs, subject to constraints that ensure the supply from each source matches the demand at each destination and that all quantities are non-negative.
The transportation problem involves creating a linear programming model where the objective is to minimize the total cost of transporting goods from suppliers to demand points, subject to constraints that ensure the supply and demand balance while respecting capacity limitations.
The transportation problem is about shipping stuff from different sources to various destinations at the lowest cost. The goal is to minimize this shipping cost while satisfying supply and demand