The Times-Picayune is searching for an ideal spotting station for the morning paper. Neighborhoods, their location on an XY grid of the city, and morning volume are shown in the table
What is the location that will minimize the transportation costs for the newspaper?
Customer Annual Volume X-Coordinate Y-Coordinate
Florida 7 3 7
Desire 39 7 5
Lafitte 245 1 3
Iberville 116 2 5
Guste 55 1 6
CJ Peete 284 1 4
What will be an ideal response?
Answer:
Sum of Weights = 7 + 39 + 245 + 116 + 55 + 284 = 746
X-coordinate = 7 × 3 + 39 × 7 + 245 × 1 + 116 × 2 + 55 × 1 + 284 × 1 = 1110
X-coordinate = = 1.48
Y-coordinate = 7 × 7 + 39 × 5 + 245 × 3 + 116 × 5 + 55 × 6 + 284 × 4 = 3025
Y-coordinate = = 4.05
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