Q$2.$ There is a transportation problem with $2$ factories and $3$ warehouses below. The links between facilities represent the distances. Write the mathematical model $($in open form$)$ using P$-$center formulation. Use $P$ as $1(15$p$).$ What is the optimum distribution plan $($draw it$)$ and total cost $(5$p$)?$ Do not forget the use capacity and demand information in the model.