Question
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
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. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. 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 | 240,000 |
Boudreaux | 140 | 60 | 320,000 |
Cancienne | 20 | 70 | 450,000 |
Darbonne | 50 | 20 | 120,000 |
Evangeline | 100 | 80 | 60,000 |
Fontenot | 10 | 120 | 140,000 |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started