Union$$ Fork, Inc. has five distribution centers located at the location coordinates given as follows. The demand at each center is also given.

DC

Coordinates

Demand

A

$(2,4)$

$10$

B

$(6,2)$

$15$

C

$(4,10)$

$25$

D

$(13,4)$

$30$

E

$(10,5)$

$20$

What is the total$$ load$-$distance score for the two plants if Plant $1$ is located at the center of gravity serving$$ A$,$ B$,$ and$$ C$,$ and Plant $2$ is at the center of gravity serving D and$$ E$?($Assume$$ Euclidean, or straight$$ line, distance.$)$

Part $2$

A$.$

More than $280$

B$.$

More than $260$ but less than or equal to $280$

C$.$

More than $240$ but less than or equal to $260$

D$.$

Less than or equal to $240$