A clothing manufacturer produces clothing in five locations in the U$.$S$.$ In a move to vertical integration, the company is planning a new fabric production plant, which will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows: LocationXYA$63$B$56$C$55$D$81$E$73$ Shipments of fabric to each plant vary per week as follows: Plant A$,200$ units; Plant B$,400$ units; Plant C$,300$ units; Plant D$,300$ units; and Plant E$,200$ units. Work on worksheet Q$4$ for the following questions: