Linear Programming

Order Description
Groovy Juice Mixers, Inc.
Groovy Juice Mixers, Inc. mixes specialty drinks out of apple, guava, and papaya juices. Currently it has 1100, 900, and 300 gallons of each of these kinds of juices in inventory, respectively.
Groovy currently has two products, Tropical Breeze and Guava Jive, which sell for $1.50 and $1.80 per gallon, respectively.
Tropical Breeze is a mixture of all three ingredients that consists of 15% to 25% guava juice, and also 25% to 35% papaya juice.
Guava Jive consists at least 40% and at most 50% guava. It does not have to contain papaya juice, but if it does, it may be at most 10% papaya.
Assume inventory is a sunk cost, and that the costs of mixing are negligible. Therefore, Groovy’s goal is to obtain the maximum possible revenue from the inventory on hand.
To do this problem you will need 6 Decision Variables:
TA = Number of Gallons of Apple Juice Used in Tropical Breeze
TG = Number of Gallons of Guava Juice Used in Tropical Breeze
TP = Number of Gallons of Papaya Juice Used in Tropical Breeze
GA = Number of Gallons of Apple Juice Used in Guava Jive
GG = Number of Gallons of Guava Juice Used in Guava Jive
GP = Number of Gallons of Papaya Juice Used in Guava Jive
Find each of the following:
TA =
TG = 42
TP =
GA =
GG =
GP = 202
Total Revenue =
(Leave off $ sign and commas)
Hint: Total Revenue is between 4026 and 4066