XYZ Clothiers designs and manufactures high$-$end garments for men. XYZ$$s facilities in Manhattan and Atlanta serve as design and component manufacturing facilities. The completed components are then shipped to warehouses in Philadelphia or Knoxville, where they are held until they are sent on to facilities for final assembly at either Memphis, New Orleans, or El Paso.

The manufacturing facilities in Manhattan and Atlanta each manufacture $900$ units. Demand in Memphis, New Orleans, and El Paso is for $450,500,$ and $620$ units, respectively. The two warehouses each have sufficient capacity to store the combined output of both manufacturing facilities. Even so$,$ unshipped goods are returned to the sender$.$ Incomplete or partial components are rejected by quality control at both the manufacturing facilities and at the final assembly facilities.

The shipping cost per component between each facility is shown in the table below. a$)$present HERE a drawing of the initial network representation of this problem all possible the routes.

b$.$ In new lines entered below this part, present HERE a drawing of the final network representation of this problem showing only the routes that are used.

$$ On your drawing, annotate each and every route shown in your diagram with the number of components transferred and its cost$\backslash$table$[[,$Philadelphia,Knoxville,Memphis,New Orleans,El Paso$],[$Manhattan$,$$$3,$$$2,,,],[$Atlanta$,$$$2,$$$3,,,],[$Philadelphia$,,$$$2,$$$4,$$$4,$$$4$