** Please show all work and formulas used

1. PNC Group has three warehouses from where it ships supplies to three outlet stores regularly. The unit cost of transportation from a warehouse to an outlet store is shown at the top-left corner of each cell in the table below. The demand requirement of a store and supply capacity of a warehouse are shown at the bottom and right of the table, respectively. The optimal solution for shipment of materials for each outlet from a warehouse can be found by using linear programming(LP) method to minimize the cost of transportation. Construct an LP model (formulation) of this problem to find the solution of this problem. [DO NOT solve the problem but formulate the LP problem].