Problem 1-10 marks A company makes four juice products using orange, grapefruit, and pineapple juices as shown in the following table together with their prices per litre : Product Price/Litre $1.00 0.9 Orange juice Grapefruit juice Pineapple juice All-in-One 0.8 1.1 The All-in-One juice has equal parts of orange, grapefruit, and pineapple juice. Each product is produced in a one-litre size container. On hand are 1,600 litre of orange juice, 1,200 litres of grapefruit juice, and 800 litre of pineapple juice. The cost per litre is $0.50 for orange juice, $0.40 for grapefruit juice, and $0.35 for pineapple juice. In addition, the manager wants grapefruit juice containers to be no more than 30 percent of all containers produced. She also 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. Formulate a linear programming model to determine how many containers of each product to produce to maximize total profit