The transportation paradox is related to the classical transportation problem. For particular reasons of this problem, an increase in the quantity of goods to be transported may lead to a decrease in the optimal total transportation cost. In this paper, an efficient algorithm for solving a linear programming problem was discussed, and it was concluded that paradox exists. The North-West Corner method was used to obtain the optimal solution using the TORA Statistical Software Package. The method however gives a step by step development of the solution procedure for finding all the paradoxical pair
Keywords: Linear Programming, Paradoxical Range of Flow, Transportation Paradox, Transportation Problem