Ingredient Grape Ingredient Guava Ingredient Papaya Sales price per Gallon Juices At most 25 % At least 20 % At most 25% Tropical Breeze At least 20 % At most 50% At most 5% Guava Jive at least 40% 7 Cost per gallon 1.5 2.5 1.5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.

See table below... 

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

Ingredient
Grape
Ingredient
Guava
Ingredient
Papaya
Juices
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
at least 40%
7
Cost per gallon
1.5
2.5
1.5
Transcribed Image Text:Ingredient Grape Ingredient Guava Ingredient Papaya Juices 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 at least 40% 7 Cost per gallon 1.5 2.5 1.5
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