A company has three plants at locations F$1,$ F$2,$ and F$3$ which supply to warehouses

located at W$1,$ W$2,$ and W$3.$ Monthly plant capacities are $200,160$ and $90$ units and

Monthly warehouse requirements are $180,120,150$ units respectively. Unit

transportation costs are given below. Determine optimal distribution for the company

in order to minimize the total transportation cost.