UnitCostCustomer $1$Customer $2$Customer $3$Trial and ErrorWith this formulation, it becomes easy to analyze any trial solution.For example, if we ship $100$ units from Factory $1$ to Customer $1,200$ units from Factory $2$ to Customer $2,100$ units from Factory $3$ to Customer $1$ and $200$ units from Factory $3$ to Customer $3,$ Total Out equals Supply and Total In equals Demand. This solution has a total cost of $27800.$Factory $1404780$Factory $2723658$Factory $3246171$ShipmentsCustomer $1$Customer $2$Customer $3$Total OutSupplyFactory $110000100=100$Factory $202000200=200$Factory $31000200300=300$Total In$200200200===$Total CostDemand$20020020027800$