please help me answer this supply chain question, i will rate. thanks The city o
ID: 332561 • Letter: P
Question
please help me answer this supply chain question, i will rate. thanks
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 re station s ?.(Enter your respon sero nded o two decima places The Y coordinate of the weighted center of gravity for the new re station is ? Enter your response rounded to two dec na places. b. What other factors might come into play when making the final decision? 0 A. distance from other fire stations OB. zoning considerations O C. available space More Info D. All of the above. Number of homes 187 Neighborhood Birchwood Cactus Circle De La Urraca Kingston X coordinate Y coordinate 2.5 3 1.5 247 36 Print DoneExplanation / Answer
Solution:
(a) Using the center of gravity method, the X* and Y* coordinate for the new fire station can be determined as shown below:
X* coordinate = Sum of [(Number of homes x X-coordinate)] / (Total number of homes)
X* coordinate = [(187 x 1) + (55 x 6) + (247 x 3) + (36 x 1.5)] / (187 + 55 + 247 + 36)
X* coordinate = 1312 / 525
X* coordinate = 2.49905
X* coordinate = 2.50
Y* coordinate = Sum of [(Number of homes x Y-coordinate)] / (Total number of homes)
Y* coordinate = [(187 x 5) + (55 x 2.5) + (247 x 1) + (36 x 1)] / (187 + 55 + 247 + 36)
Y* coordinate = 1355.5 / 525
Y* coordinate = 2.58190
Y* coordinate = 2.58
(b) At the time of making the final decision for the new fire station, additional factors such as distance from other fire stations, zoning considerations and available space in the above calculated X* and Y* coordinate will come into play.
Answer: Option (D) - All of the above
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.