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139) A grocery chain is deciding on where to locate its new distribution center.  The new DC will serve four grocery stores, each with a demand of 10,000 units.  If the coordinates of the stores are (112,108), (110,50), (40, 85), and (10, 25) where should the DC be located?  Suppose now that each store instead had demand of 20,000 units.  Where should the DC go in this case?

140) Suppose that a bus company is deciding where to locate its central hub.  There are 6 possible destinations for the buses.  Suppose that the center of town will be used as the reference for describing the possible destinations.  A is located 5 miles South and 3 miles West.  B is located 3 miles North and 2 miles East.  C is located 1 mile South and 5 miles East.  D is located 2 miles North and 3 miles West.  E is located exactly in the center of town.  F is located 10 miles North and 5 miles East.  Assume that traffic to each destination will be equal.  Where should the hub go so that travel time is minimized?

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