1) Great Juices

Great Juices makes six types of juice-blends. They are A) 100% Orange Juice, B) Orange-Mango-Pineapple, C) Orange Kiwi Strawberry, D) Orange Pineapple, E) Kiwi Strawberry Mango, and F) Strawberry Mango. The following table lists all the relevant data.

Blends >>>>

A
B
C
D
E
F Purchase price $/Gal Available

Quantity

Gallons

Sold at $/Gal

$2.25
$2.90
$2.70
$2.50
$3.00
$3.00

Ingredients

Orange J 100% 30% 50% 60% $1.75 400,000
Kiwi J 20% 40% $2.10 100,000
Pineapple J 40% 40% $1.55 130,000
Strawberry J 30% 40% 40% $2.00 150,000
Mango Juice 30% 20% 60% $2.90 190,000

Note that you do not have any inventory of the ingredients and everything must be bought.

Other restrictions:

1) Blend A has to be at least 35% of the total production
2) Blend B plus blend C together cannot be more than 20% of the other four blends.
3) Blends containing Mango must account for at least 20% of the total. .

A) Formulate a Linear programming model with an objective to maximize profit. Using the names of variables as A, B, C, D, E and F, write down the LP in algebraic form as discussed in the class. Neatly write or type the answer in the space provided below.