Problem
Develop an application of trans-shipment problem in a 'realistic' context. Your application should include at least two origins (e.g. two manufacturing plants), at least three intermediary points (e.g. warehouses), and at least five destinations (e.g. retail outlets). Use geographical locations for each of the nodes (origins, intermediary points, and destinations), for example within a state or a district, and formulate the problem using realistic assumptions or estimates for production and transportation capacities and costs, market demand and prices, and any other relevant factors. Find the optimal solution of your linear programming problem and discuss its sensitivity analysis and managerial implications.