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A single self-service gas station with six pumps serves a small community. A competitor is opening a new facility with 12 pumps across town. The

A single self-service gas station with six pumps serves a small community. A competitor is opening a new facility with 12 pumps across town. The following table shows travel times in minutes from four different areas in the community to each site and the number of customers who live in each area.

Time to travel to gas station
Area 1 2 3 4
six-pump station 5 1 9 15
twelve-pump station 20 8 12 6
number of customers 100 150 80 50

Using the Huff retail location model and assuming = 0.2, calculate the probability of a customer traveling from each area to each site.

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