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Inequality
2012
Problem - 1947
Four towns are located at
A
(
0
,
0
)
,
B
(
2
,
12
)
,
C
(
12
,
8
)
, and
D
(
7
,
2
)
. A warehouse is built at point
P
so the sum of the distances
P
A
+
P
B
+
P
C
+
P
D
is minimized. We must find the coordinates of point
P
.
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