1. ABC Company supplies fruit juice and juice blends to wholesale grocers. A list of the firm’s products and revenue per ounce is shown in the following table: Product Revenue per ounce
Apple juice 0.09$
Grape juice 0.06$
Cranberry juice 0.05$
Apple-grape juice 0.07$
Apple-cranberry juice 0.08$
All-in-one juice 0.10$
The apple-grape juice is 70% apple juice and 30% grape juice. The apple-cranberry juice is 60%apple juice and 40% cranberry juice, and the all-in-one juice is 50% apple, 20%grape, and the rest cranberry juice. The company has 200 gallons of apple juice, 100 gallons of grape juice and 150 gallons of cranberry juice on hand, and the owner wants to know how many containers of each product to prepare in order to maximize profit. Cost per ounce for apple juice is 0.02$, for grape juice 0.04$, and for Cranberry juice 0.03$. All products are sold in 64 oz. containers. The apple-cranberry juice is also sold in a one-quart size. The company has an order for 10 containers of apple juice and 12 containers of the apple-cranberry one-quart size that must be filled from current supplies. Formulate linear programming model of this problem.