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The city of Green Valley, Arizona, is trying to determine where to locate a new

ID: 367396 • Letter: T

Question

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. Click the icon to view the locations and number of homes in the neighborhoods. a. The X coordinate of the weighted center of gravity for the new fire station is - (Enter your response rounded to two decimal places.) The Yº coordinate of the weighted center of gravity for the new fire station is 0. (Enter your response rounded to two decimal places.) b. What other factors might come into play when making the final decision? More Info OA. zoning considerations OB. distance from other fire stations OC. available space OD. All of the above. Number of homes 172 Neighborhood x coordinate Y coordinate Birchwood 0.5 3.5 Cactus Circle 0.5 De La Urraca 1.5 Kingston ETTE 42 223 44 Print Done Click to select your answer(s).

Explanation / Answer

x or y coordinate = SUM PRODUCT (Number of Homes, Coordinate)/SUM of (Number of Homes)

a) x coordinate = 0.5*172 + 2*42 + 3*223 + 3*44)/(172+42+223+44) = 2.02

y coordinate = 3.5*172 + 0.5*42 + 1.5*223 + 1*44)/(172+42+223+44) = 2.08

b) D

All the factors mentioned are important. The other fire station must be spaced out. There should be available space in the desired coordinates and zoning considerations are important for rules and regulations

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