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a) Formulate an LP whose objective is to maximise the net profit from the sale of the juices

a) Formulate an LP whose objective is to maximise the net profit from the sale of the juices

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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Question 1 B


Groovy Juice Mixers produces juices, Tropical breeze and Guava Jive. These Juices are both made by blending three ingredients, Grape, guava and Papaya. A certain level of flexibility is permitted in the formulae for these products. The allowable percentages, along with revenue and cost data, are
given in the following table. Up to 60 gallons of Grape, 80 gallons of Guava and 60 gallons of papaya could be purchased. Groovy can sell as much of these juices as it produces.

 

a) Formulate an LP whose objective is to maximise the net profit from the sale of the juices.

Ingredient Grape Ingredient Guava Ingredient Рарaya Sales price per Gallon Juices At most 25 % At least 20 % At most 25% At least 20 % | Tropical Breeze 8. At most 50% At most 5% Guava Jive Cost per gallon at least 40% 7 1.5 2.5 1.5
Transcribed Image Text:Ingredient Grape Ingredient Guava Ingredient Рарaya Sales price per Gallon Juices At most 25 % At least 20 % At most 25% At least 20 % | Tropical Breeze 8. At most 50% At most 5% Guava Jive Cost per gallon at least 40% 7 1.5 2.5 1.5
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