Formulate and then solve a linear programming model of this problem, to determine how manycontainers of each product to produce tomorrow to maximize profits. The company makes fourjuice products using orange, grapefruit, and pineapple juice.Product Retail Price per QuartOrange juice $1.00Grapefruit juice .90Pineapple juice .80All-in-One 1.10The All-in-One juice has equal parts of orange, grapefruit, and pineapple juice. Each product isproduced in a one-quart size (there are four quarts in a gallon). On hand are 400 gallons of orangejuice, 300 gallons of grapefruit juice, and 200 gallons of pineapple juice. The cost per gallon is$2.00 for orange juice, $1.60 for grapefruit juice, and $1.40 for pineapple juice.In addition, the manager wants grapefruit juice to be used for no more than 30 percent of thenumber of containers produced. She wants the ratio of the number of containers of orange juice tothe number of containers of pineapple juice to be at least 7 to 5.
Formulate and then solve a linear programming model of this problem, to determine how many
containers of each product to produce tomorrow to maximize profits. The company makes four
juice products using orange, grapefruit, and pineapple juice.
Product Retail Price per Quart
Orange juice $1.00
Grapefruit juice .90
Pineapple juice .80
All-in-One 1.10
The All-in-One juice has equal parts of orange, grapefruit, and pineapple juice. Each product is
produced in a one-quart size (there are four quarts in a gallon). On hand are 400 gallons of orange
juice, 300 gallons of grapefruit juice, and 200 gallons of pineapple juice. The cost per gallon is
$2.00 for orange juice, $1.60 for grapefruit juice, and $1.40 for pineapple juice.
In addition, the manager wants grapefruit juice to be used for no more than 30 percent of the
number of containers produced. She wants the ratio of the number of containers of orange juice to
the number of containers of pineapple juice to be at least 7 to 5.
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