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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. Ingredient Grape Ingredient Guava At most 25 % Ingredient Рарaya Juices Sales price per Gallon At most 25% Tropical Breeze At least 20 % At least 20 % 8 At most 50% at least 40% At most 5% Guava Jive Cost per gallon 7 1.5 1.5 2.5 a) Formulate an LP whose objective is to maximise the net profit from the sale of the juices

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. Ingredient Grape Ingredient Guava At most 25 % Ingredient Рарaya Juices Sales price per Gallon At most 25% Tropical Breeze At least 20 % At least 20 % 8 At most 50% at least 40% At most 5% Guava Jive Cost per gallon 7 1.5 1.5 2.5 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.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 11P
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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. Ingredient Ingredient Grape Ingredient Рарaya Juices Guava Sales price per Gallon At most 25 % At most 25% Tropical Breeze At least 20 % At least 20 % 8 At most 50% At most 5% Guava Jive Cost per gallon at least 40% 7 1.5 1.5 2.5 a) Formulate an LP whose objective is to maximise the net profit from the sale of the juices
Transcribed Image Text: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. Ingredient Ingredient Grape Ingredient Рарaya Juices Guava Sales price per Gallon At most 25 % At most 25% Tropical Breeze At least 20 % At least 20 % 8 At most 50% At most 5% Guava Jive Cost per gallon at least 40% 7 1.5 1.5 2.5 a) Formulate an LP whose objective is to maximise the net profit from the sale of the juices
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