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: $$\begin{array} { c c }
\text { Location } & ( \mathrm { x } , \mathrm { y } ) \
\hline \mathrm { A } & 7,2 \
\mathrm {~B} & 4,7 \
\mathrm { C } & 5,5 \
\mathrm { D } & 6,2 \
\mathrm { E } & 8,4
\end{array}$$ 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?

Question

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: $$\begin{array} { c c } 
\text { Location } & ( \mathrm { x } , \mathrm { y } ) \
\hline \mathrm { A } & 7,2 \
\mathrm {~B} & 4,7 \
\mathrm { C } & 5,5 \
\mathrm { D } & 6,2 \
\mathrm { E } & 8,4
\end{array}$$ 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?

Quizplus · Accepted Answer

The Answer of 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: $$\begin{array} { c c } 
\text { Location } & ( \mathrm { x } , \mathrm { y } ) \
\hline \mathrm { A } & 7,2 \
\mathrm {~B} & 4,7 \
\mathrm { C } & 5,5 \
\mathrm { D } & 6,2 \
\mathrm { E } & 8,4
\end{array}$$ 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?

A Clothing Manufacturer Produces Clothing in Five Locations in the United