Problem 4 Question Help A larger and more modern main post office is to be const

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Problem 4 Question Help A larger and more modern main post office is to be constructed at a new location in Davis, California Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. x, y, Coordinates (miles) (7, 17) Mail Source Point Round trips per day 2 (6, 4) (12, 10) 4 6 (9, 5) (13, 3) (9, 5) a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number) The center of gravity "X" coordinate - The center of gravity "Y" coordinate Enter your answer in the edit fields and then click Check Answer. parts remaining Clear All Cheak Answer

Explanation / Answer

X-coordinator Center of Gravity = Sum of (Product of Round trips per day and Coordinate)/Sum of all round trips per day = (5*7+1*5+1*6+6*12+4*1+5*9+1*13+1*9)/(5+1+1+6+4+5+1+1) = 7.875 ~ 8

Y-coordinator Center of Gravity = (5*17+1*11+1*4+6*10+4*15+5*5+1*3+1*5)/(5+1+1+6+4+5+1+1) = 10.542 ~ 11

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