CENTRO DE GRAVEDAD
Enviado por karitooo347 • 7 de Noviembre de 2022 • Trabajos • 816 Palabras (4 Páginas) • 81 Visitas
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1. Un proveedor de la industria de generación eléctrica maneja un producto pesado y, por esa razón, sus costos de transporte son altos. Una de sus áreas de mercado incluye la parte baja de la región de los Grandes Lagos y la porción alta de la región del sudeste de EUA. Se tienen que embarcar más de 600,000 toneladas a ocho importantes localizaciones de clientes, como muestra la siguiente tabla.
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- Calcule el centro de gravedad.
- Brinde una conclusión.
Interpretación de coordenadas:
Para Three Rivers, Mich: dix = 7 diy = 13 Qi = 5,000
Fort Wayne, Ind: dix = 8 diy = 12 Qi = 92,000
Columbus,Ohio dix = 11 diy = 10 Qi = 70,000
Ashland,Ky. dix = 11 diy = 7 Qi = 35,000
Kingsport,Tenn dix = 12 diy = 4 Qi = 9,000
Akron, Ohio dix = 13 diy = 11 Qi = 227,000
Wheeling, W.V dix = 14 diy = 10 Qi = 16,000
Roanoke,Va dix = 15 diy = 5 Qi = 153,000
Coordenada X del centro de gravedad
[(7)(5,000)+(8)(92,000)+(11)(70,000)+(11)(35,000)+(12)(9,000)+(13)(227,000)+(14
)(16,000)+(15)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+
16,000 +153,000) = 7,504,000/ 607,000 = 12.4
Coordenada Y del centro de gravedad
[(13)(5,000)+(12)(92,000)+(10)(70,000)+(7)(35,000)+(4)(9,000)+(11)(227,000)+(10
)(16,000)+(5)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+ 16,000 +153,000) = 5,572,000/ 607,000 = 9.2
- Three Rivers, Mich
Coordenada X del centro de gravedad
[(7)(5,000)+(8)(92,000)+(11)(70,000)+(11)(35,000)+(12)(9,000)+(13)(227,000)+(14
)(16,000)+(15)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+
16,000 +153,000) = 7,504,000/ 607,000 = 12.4
Coordenada Y del centro de gravedad
[(13)(5,000)+(12)(92,000)+(10)(70,000)+(7)(35,000)+(4)(9,000)+(11)(227,000)+(10
)(16,000)+(5)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+ 16,000 +153,000) = 5,572,000/ 607,000 = 9.2
- Fort Wayne, Ind
Coordenada X del centro de gravedad
[(7)(5,000)+(8)(92,000)+(11)(70,000)+(11)(35,000)+(12)(9,000)+(13)(227,000)+(14
)(16,000)+(15)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+
16,000 +153,000) = 7,504,000/ 607,000 = 12.4
Coordenada Y del centro de gravedad
[(13)(5,000)+(12)(92,000)+(10)(70,000)+(7)(35,000)+(4)(9,000)+(11)(227,000)+(10
)(16,000)+(5)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+ 16,000 +153,000) = 5,572,000/ 607,000 = 9.2
- Columbus, Ohio
Coordenada X del centro de gravedad
[(7)(5,000)+(8)(92,000)+(11)(70,000)+(11)(35,000)+(12)(9,000)+(13)(227,000)+(14
)(16,000)+(15)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+
16,000 +153,000) = 7,504,000/ 607,000 = 12.4
Coordenada Y del centro de gravedad
[(13)(5,000)+(12)(92,000)+(10)(70,000)+(7)(35,000)+(4)(9,000)+(11)(227,000)+(10
)(16,000)+(5)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+ 16,000 +153,000) = 5,572,000/ 607,000 = 9.2
- Ashland,Ky
Coordenada X del centro de gravedad
[(7)(5,000)+(8)(92,000)+(11)(70,000)+(11)(35,000)+(12)(9,000)+(13)(227,000)+(14
)(16,000)+(15)(153,000)]/(5,000+92,000+70,000+35,000+ 9,000 + 227,000+
16,000 +153,000) = 7,504,000/ 607,000 = 12.4
Coordenada Y del centro de gravedad
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