Seabrook wants to determine how many bushels to ship from each grove to each processing plant to minimize the total number of bushel- kilometers the fruit must be shipped. Formulate an LP Model. DO NOT

Purchasing and Supply Chain Management
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Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
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ChapterC: Cases
Section: Chapter Questions
Problem 3.10A
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Seabrook is a leading grower and distributor of fresh citrus products with
three large citrus groves scattered around Central Region in the cities of
Big Bome, Yvonne, and Xiaohei. Seabrook currently has 275,000 bushels
of citrus at the grove in Big Bome, 400,000 bushels at the grove in Yvonne,
and 300,000 bushels at the grove in Xiaohei. Seabrook has citrus
processing plants in Gede Agus, KianPing, and Zhangje with processing
capacities to handle 200,000, 600,000, and 225,000 bushels, respectively.
Seabrook contracts with a local trucking company to transport its fruit
from the groves to the processing plants. The trucking company charges a
flat rate for every kilometer that each bushel of fruit must be transported.
Each kilometer a bushel of fruit travels is known as a bushel-kilometer.
The following table summarizes the distances (in kilometers) between the
groves and processing plants:
Distances (in km) between Groves and Plants
Gede Agus KianPing. Zhangje
Grove
Big Bome
21
50
40
Yvonne
35
30
22
Xiaohei
55
20
25
Seabrook wants to determine how many bushels to ship from each grove
to each processing plant to minimize the total number of bushel-
kilometers the fruit must be shipped. Formulate an LP Model. DO NOT
SOLVE.
Transcribed Image Text:Seabrook is a leading grower and distributor of fresh citrus products with three large citrus groves scattered around Central Region in the cities of Big Bome, Yvonne, and Xiaohei. Seabrook currently has 275,000 bushels of citrus at the grove in Big Bome, 400,000 bushels at the grove in Yvonne, and 300,000 bushels at the grove in Xiaohei. Seabrook has citrus processing plants in Gede Agus, KianPing, and Zhangje with processing capacities to handle 200,000, 600,000, and 225,000 bushels, respectively. Seabrook contracts with a local trucking company to transport its fruit from the groves to the processing plants. The trucking company charges a flat rate for every kilometer that each bushel of fruit must be transported. Each kilometer a bushel of fruit travels is known as a bushel-kilometer. The following table summarizes the distances (in kilometers) between the groves and processing plants: Distances (in km) between Groves and Plants Gede Agus KianPing. Zhangje Grove Big Bome 21 50 40 Yvonne 35 30 22 Xiaohei 55 20 25 Seabrook wants to determine how many bushels to ship from each grove to each processing plant to minimize the total number of bushel- kilometers the fruit must be shipped. Formulate an LP Model. DO NOT SOLVE.
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