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Q7) Suppose that a bus company is deciding where to locate its central hub. Ther

ID: 368481 • Letter: Q

Question

Q7) 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?

Explanation / Answer

The hub will be located where total distance of hub to adjoining towns is the minimum.Looking at the figure below

We can see that sum of distance of E to all other locations is the minimum.

Hence E should be the hub to minimize travel times.

F B D E C A