Asked by April Lawrenz on Jul 20, 2024
Verified
East Texas Seasonings is preparing to build one processing centre to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the centre of gravity? X-coordinate Y-coordinate Volume Athens, Texas 3030150 Beaumont, Texas 2010350 Carthage, Texas 1070100 Denton, Texas 5050200\begin{array} { | l | c | c | c | } \hline & \text { X-coordinate } & \text { Y-coordinate } & \text { Volume } \\\hline \text { Athens, Texas } & 30 & 30 & 150 \\\hline \text { Beaumont, Texas } & 20 & 10 & 350 \\\hline \text { Carthage, Texas } & 10 & 70 & 100 \\\hline \text { Denton, Texas } & 50 & 50 & 200 \\\hline\end{array} Athens, Texas Beaumont, Texas Carthage, Texas Denton, Texas X-coordinate 30201050 Y-coordinate 30107050 Volume 150350100200
A) X = 28.125; Y = 31.25
B) X = 22000; Y = 24000
C) X = 27.5; Y = 40
D) centre of gravity = 24000
E) centre of gravity = 28
Centre of Gravity
A method used in logistics and supply chain management to determine the optimal location of a facility based on minimizing transportation costs, taking into account the geographic location of suppliers, customers, and products.
Coordinates
A set of values that show an exact position within a system, typically represented in terms of latitude and longitude or X and Y values in a plane.
Processing Centre
A facility designed to process inputs into finished goods or to handle specific types of transactions, such as data or payment processing.
- Calculate the center of gravity for given locations to determine optimal facility placement.
Verified Answer
Learning Objectives
- Calculate the center of gravity for given locations to determine optimal facility placement.
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