Question

Groovy Juice Mixers, Inc.


Groovy Juice Mixers, Inc. mixes specialty drinks out of apple, guava, and papaya juices. Currently it has 1300, 600, and 500 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 $2.20 per gallon, respectively.


Tropical Breeze is a mixture of all three ingredients that consists of 20% to 30% guava juice, and also 25% to 35% papaya juice.


Guava Jive consists at least 45% and at most 50% guava. It does not have to contain papaya juice, but if it does, it may be at most 5% 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:

T_A = Number of Gallons of Apple Juice Used in Tropical Breeze
T_G = Number of Gallons of Guava Juice Used in Tropical Breeze
T_P = Number of Gallons of Papaya Juice Used in Tropical Breeze

G_A = Number of Gallons of Apple Juice Used in Guava Jive
G_G = Number of Gallons of Guava Juice Used in Guava Jive
G_P = Number of Gallons of Papaya Juice Used in Guava Jive


Find each of the following:
T_A =

T_G = 384
T_P =

G_A =

G_G =

G_P = 20

Total Revenue =

(Leave off $ sign and commas)
Hint: Total Revenue is between 3856 and 3946

Answer 1

As given No of Callaw of Guava Juic fer- Torbicel Boceze - 384 lege of Crewade Jewice used. L . - 30). 1 Aug - 2 +30 =25). so, Total No of billig Topical Breeze Challen 1 - 385 x1W 21540 gallan so. To calculate the noof Gallaus rused of carino Apple - TA = 693 (154x454)_454 (Remaing ie (100-25-38] - To = 384 (Cina) -251 (As Abone Details - TP = 462 (1540x30112 304. [ 25+ 35 - 30%) by Crive No. of Callas rexed of Papaye to Make o Ceana Jine = qoy in 1. tage of Graus Juic us = oth 2.5t. (Me sx 10-5 1. No. of Pallares of Greaus Jime = go - 800 Callens GA = 400 (SOU X50%) - soy (Remainig ie (10-9.5-7 GG 380 (800x47.5+) 47:51 [45+ 5o = 47.5x] GP - to (Girem) - 2.5% (As About Detail) Total Revenue = + Soo X2.2 1540 X 1.5 4070 -