Q3) A farmers' cooperative association plans to build a new sugar mill in Southwestern Louisiana. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Populate the relevant data using your group number below. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this All mileage references use the city of Lake Charles as (0,0).     Village Miles East of Lake Charles Miles North of Lake Charles   Sugar Cane tonnage Arceneaux 90 10 2400 * 6 Boudreaux 140 60 3200*6 Cancienne 20 70 4500*6 Darbonne 50 20 1200*6 Evangeline 100 80 6000*6 Fontenot 10 120 14000*6

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Q3) A farmers' cooperative association plans to build a new sugar mill in Southwestern Louisiana. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages.

  1. Populate the relevant data using your group number below.
  2. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this All mileage references use the city of Lake Charles as (0,0).

 

 

Village

Miles East of Lake Charles

Miles North of Lake Charles

 

Sugar Cane tonnage

Arceneaux

90

10

2400 * 6

Boudreaux

140

60

3200*6

Cancienne

20

70

4500*6

Darbonne

50

20

1200*6

Evangeline

100

80

6000*6

Fontenot

10

120

14000*6

 

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