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A Clothing Manufacturer Produces Clothing in Five Locations in the United

question 52

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A clothing manufacturer produces clothing in five locations in the United States. In a move to vertical integration, the company is planning a new fabric production plant that will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows:  Location (x,y) A7,2 B4,7C5,5D6,2E8,4\begin{array} { c c } \text { Location } & ( \mathrm { x } , \mathrm { y } ) \\\hline \mathrm { A } & 7,2 \\\mathrm {~B} & 4,7 \\\mathrm { C } & 5,5 \\\mathrm { D } & 6,2 \\\mathrm { E } & 8,4\end{array} Shipments of fabric to each plant vary per week as follows: plant A, 200 units; plant B, 400 units; plant C, 300 units; plant D, 300 units; and plant E, 200 units. What is the optimal location for the fabric plant?


Definitions:

Physical Flexibility

The ability of joints and muscles to move through their full range of motion, important for overall mobility and health.

Muscle Strength

The ability of a muscle or group of muscles to exert force against resistance.

Body's Metabolism

The complex chemical processes occurring within a living organism that are necessary for maintaining life, including converting food into energy.

Isometric Exercise

A form of resistance training where the joint angle and muscle length do not change during contraction.

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