Please do not use Excel to solve and please show your work.

1- Mantastic Devices designs and manufactures high-end support garments for men. The facilities in Manhattan 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 Memphis, New Orleans, or El Paso. Manufacturing capacity in Manhattan and Atlanta is 800 units. Demand at Memphis, New Orleans, and El Paso is 450, 500, and 610, respectively. The network representing the shipping routes is shown below. Memphis Manhattan Philadelphia New Orleans 6 Atlanta El Paso 2 7 Knoxville The costs for shipping between each facility is shown below. A blank cell indicates that shipping between two facilities is not permitted. Memphis New Orleans El Paso Philadelphia $4 $22 Manhattan Atlanta Philadelphia Knoxville Knoxville $25 $3 $3 $20 $6 $30 $15 $40 $20 $3 i) What is the objective function for the Mantastic problem? Use the notation Xij, where i and j correspond to the node numbers indicated in the diagram. ii) What is the constraint for the transshipment node in Philadelphia for the Mantastic