This document discusses solving a transportation problem to minimize costs using optimality tests and the MODI method. It provides an example of a company with 4 warehouses and 6 stores needing to ship 22 units of a commodity. The costs of shipping from each warehouse to each store are given. The optimal solution is found using MODI method by calculating U and V values, evaluating unoccupied cells, and tracing a path to reallocate units until no negative evaluations remain, indicating the solution is optimal. The optimal allocation ships units for a total cost of Rs. 112.