Joint order and transportation system which can be used for the franchise business is considered. It is assumed that several agents exist on the same vehicle route and each agent has an EOQ inventory policy and the same order cycle. It is also assumed that transportation cost is proportional to the distance of farthest agent from the supplier. Various methods for rational and fair cost allocation such as line rule, AMEF, the Shapley value, nucleolus, and proportional method were researched and applied to the inventory transportation problem. The core is the basic condition for rational and fair cost allocation. Therefore, we examined if the solutions of various allocation methods are existed in the core through an example.