A farmers' cooperative association plans to build a new sugar mill in Georgetown. 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 Browns Town as (0,0). Village Miles East of Browns Town Miles North of Browns Town Sugar Cane tonnage Barney Valley 90 10 240,000 Blue Pasture 140 60 320,000 Congo Valley 20 70 450,000 Bower 50 20 120,000 Rabacca 100 80 60,000 Salem 10 120 140,000

A farmers' cooperative association plans to build a new sugar mill in Georgetown. 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 Browns Town as (0,0). Village Miles East of Browns Town Miles North of Browns Town Sugar Cane tonnage Barney Valley 90 10 240,000 Blue Pasture 140 60 320,000 Congo Valley 20 70 450,000 Bower 50 20 120,000 Rabacca 100 80 60,000 Salem 10 120 140,000

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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