Madlantic Devices designs and manufactures high end medical devices. The facilities in Madison and Atlanta serve as design and component manufacturing facilities. Components are then shipped to warehouses in Philadelphia or Knoxville where they are held until final assembly is completed at either Dayton, Bloomington or Albany. Manufacturing capacity in Madison and Atlanta is 1000 units. Demand at Dayton, Bloomington, and Albany is 450, 500, and 610 respectively. The network representing the shipping routs is shown below. The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted. Warehouses Final Assembly Facilities Design and Component Manufacturing Philadelphia Knoxville Dayton Bloomington Albany Madison 7 8 Atlanta 4 7 Warehouses Philadelphia 3 25 6 17 Knoxville 3 29 8 5 4) What is the objective function for this problem? Use the notation Xij, where i and j correspond to the node numbers indicated in the diagram. Please show all work