1. The Bluegrass Distillery produces custom-blended whiskey. A particular blend consists of rye and bourbon whiskey. The company has received an order for a minimum of 300 gallons of the custom blend. The customer specified that the order must contain at least 40% rye and not more than 280 gallons of bourbon. The customer also specified that the blend should be mixed in the ratio of rye to bourbon as 2 to 1 (i.e. rye:bourbon-2:1). The distillery can produce 500 gallons per week, regardless of the blend. The production manager wants to complete the order in 1 week. The blend is sold for $5 per gallon. The distillery company's cost per gallon is $2 for rye and $1.5 for bourbon. The company wants to determine the blend mix that will meet customer requirements and maximize profits. (a) Formulate a linear programming model for this problem
1. The Bluegrass Distillery produces custom-blended whiskey. A particular blend consists of rye and bourbon whiskey. The company has received an order for a minimum of 300 gallons of the custom blend. The customer specified that the order must contain at least 40% rye and not more than 280 gallons of bourbon. The customer also specified that the blend should be mixed in the ratio of rye to bourbon as 2 to 1 (i.e. rye:bourbon-2:1). The distillery can produce 500 gallons per week, regardless of the blend. The production manager wants to complete the order in 1 week. The blend is sold for $5 per gallon. The distillery company's cost per gallon is $2 for rye and $1.5 for bourbon. The company wants to determine the blend mix that will meet customer requirements and maximize profits. (a) Formulate a linear programming model for this problem
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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Transcribed Image Text:1. The Bluegrass Distillery produces custom-blended whiskey. A particular blend consists of rye
and bourbon whiskey. The company has received an order for a minimum of 300 gallons of the
custom blend. The customer specified that the order must contain at least 40% rye and not more
than 280 gallons of bourbon. The customer also specified that the blend should be mixed in the
ratio of rye to bourbon as 2 to 1 (i.e. rye:bourbon-2:1). The distillery can produce 500 gallons
per week, regardless of the blend. The production manager wants to complete the order in 1
week. The blend is sold for $5 per gallon. The distillery company's cost per gallon is $2 for rye
and $1.5 for bourbon. The company wants to determine the blend mix that will meet customer
requirements and maximize profits.
(a) Formulate a linear programming model for this problem.
(b) Solve the problem by using the computer.
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