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The city of Green Valley, Arizona, is trying to determine where to locate a new fire station. The fire station is expected to serve four neighborhoods. The locations and number of homes in the neighborhoods are as follows:
a. (**) Calculate the weighted center of gravity for the new fire station based on the given information.
b. (**) What other factors (for example, zoning laws, maximum response time) might come into play when making the final decision?
NEIGHBORHOOD
X COOR-
DINATE
Y COOR-
NUMBER
OF HOMES
Birchwood
5
4
163
Cactus Circle
7
1
45
De La Urraca
2
205
Kingston
3.5
1.5
30
She is willing to consider anything from subsidized bus passes to company-owned shuttle buses to telecommuting, but the decision requires a thorough understanding of employee transportation needs.
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