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1.) Old Wildcat Bourbon has two distilleries and two bottling plants across the state of Kentucky. The distilleries ship barrels of bourbon to the bottling plants in order for the product to be bottled and sold. The cost per barrel of shipping the bourbon from each distillery to each bottling plant is given in the following table: To: From: Versailles $20 $35 Richmond $32 $15 Athens Paris The distillery in Athens will produce 250 barrels each month, and the distillery in Paris will produce 400 barrels each month, and every barrel produced must be bottled immediately. The Versailles plant can bottle up to 300 barrels each month, and the Richmond plant can bottle up to 350 barrels each month. How many barrels should be shipped from each distillery to each bottling plant in order to minimize the shipping cost?

1.) Old Wildcat Bourbon has two distilleries and two bottling plants across the state of Kentucky. The distilleries ship barrels of bourbon to the bottling plants in order for the product to be bottled and sold. The cost per barrel of shipping the bourbon from each distillery to each bottling plant is given in the following table: To: From: Versailles $20 $35 Richmond $32 $15 Athens Paris The distillery in Athens will produce 250 barrels each month, and the distillery in Paris will produce 400 barrels each month, and every barrel produced must be bottled immediately. The Versailles plant can bottle up to 300 barrels each month, and the Richmond plant can bottle up to 350 barrels each month. How many barrels should be shipped from each distillery to each bottling plant in order to minimize the shipping cost?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Formulate the problem, giving the decision variables (these must be clearly defined), objective function, and constraints. That is, give the mathematical model. (Note: you do not have to solve this linear programming problem.

1.) Old Wildcat Bourbon has two distilleries and two bottling plants across the state of Kentucky. The distilleries ship barrels of bourbon to the bottling plants in order for the product to be bottled and sold. The cost per barrel of shipping the bourbon from each distillery to each bottling plant is given in the following table: To: Versailles $20 $35 From: Richmond $32 $15 Athens Paris The distillery in Athens will produce 250 barrels each month, and the distillery in Paris will produce 400 barrels each month, and every barrel produced must be bottled immediately. The Versailles plant can bottle up to 300 barrels each month, and the Richmond plant can bottle up to 350 barrels each month. How many barrels should be shipped from each distillery to each bottling plant in order to minimize the shipping cost?
Transcribed Image Text:1.) Old Wildcat Bourbon has two distilleries and two bottling plants across the state of Kentucky. The distilleries ship barrels of bourbon to the bottling plants in order for the product to be bottled and sold. The cost per barrel of shipping the bourbon from each distillery to each bottling plant is given in the following table: To: Versailles $20 $35 From: Richmond $32 $15 Athens Paris The distillery in Athens will produce 250 barrels each month, and the distillery in Paris will produce 400 barrels each month, and every barrel produced must be bottled immediately. The Versailles plant can bottle up to 300 barrels each month, and the Richmond plant can bottle up to 350 barrels each month. How many barrels should be shipped from each distillery to each bottling plant in order to minimize the shipping cost?
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