A supplier for the electric power industry produces Power Generators; Transporta

Question

A supplier for the electric power industry produces Power Generators; Transportation costs are high. One of the market areas includes the bottom of the Great Lakes region and the upper part of the region southeast They must send more than 600,000 tons to the Locations of eight main clients, as shown Next, what is the center of gravity? Localización del cliente Three Rivers, MI Fort Wayne, IN Columbus, OH Ashland, KY Kingsport, TN Akron, OH Wheeling, wV Roanoke, VA x, y Coordenadas (7, 13) (8, 12) (11, 10) Toneladas envladas 5,000 92,000 70,000 35,000 9,000 227,000 16,000 153,000 (12, 4) (13, 11) (14, 10) (15, 5)

Explanation / Answer

The center of gravity can be determined as follows –

X-bar = (? x * Q) / ? Q = 7,504,000/ 607,000 = 12.36

Y-bar = (? y* Q) / ? Q = 5,572,000/ 607,000 = 9.18

Therefore the center of gravity is (12.36, 9.18)

Other part of the question is not clear.

Locations Quantity (tons) (Q ) X coordinate (x) Y coordinate (y) x*Q y*Q Three Rivers, MI 5,000 7 13 35,000 65,000 Fort Wayne, (IN) 92,000 8 12 736,000 1,104,000 Columbus, OH 70,000 11 10 770,000 700,000 Ashland, (KY) 35,000 11 7 385,000 245,000 Kingsport, (TN) 9,000 12 4 108,000 36,000 Akron, OH 227,000 13 11 2,951,000 2,497,000 Wheeling, WV 16,000 14 10 224,000 160,000 Roanoke, VA 153,000 15 5 2,295,000 765,000 Total 607,000 7,504,000 5,572,000 ? Q ? x * Q ? y* Q

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