Environmental Glass Products, Inc. wants to build a new centralized facility to receive household, commercial, and industrial glass for recycling. This center will be supplied by trucks coming from four "collection points," where recyclable glass is dropped off by individuals and businesses. EGP will then send the recycled glass to three of its manufacturing facilities nearby. The volume and the map coordinates for the four collection centers and three manufacturing facilities are shown below. Where should the collection center be located?

Sources/Markets	Transportation Cost $/ton mile (Fn)	Quantity in Tons (Dn)	Xn	Yn
Supply
Collection pt 1	4.1	19000	90	30
Collection pt 2	4.2	3000	45	60
Collection pt 3	4.4	5000	25	85
Collection pt 4	4.8	6000	38	98
Manufacturing Facilities
Rayburn Industrial Park	6.25	11000	20	130
Henderson Mfg. Center	5.75	11000	60	40
Wax Mills Site	5.95	11000	70	100

a) What is the optimal location for the centralized facility?

b) What is the minimal shipping cost that satisfies all requirements?