Problem 2 (2 POINTS) Formulate a linear programming model of the following problem to determine how many containers of cach of the following products (given in the Table below) to produce in order to maximize profits. The company makes four juice products using orange, grapefruit, and pineapple juice. 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 300 gallons of orange juice, 250 gallons of grapefruit juice, and 200 gallons of pineapple juice. The cost per gallon is $1.60 for orange juice, $1.40 for grapefruit juice, and $1.20 for pineapple juice. The retail prices of these products are as shown below: Product Retail price Orange juice Grapefruit juice Pineapple juice All-in-One $1.05 $0.90 $0.75 $1.15 Convert this LP problem into an LP model. That is, write the objective function and the set of all constraints. (Let, Number of units/quarts of Orange juice to be produced = XI; Number of units/quarts of Grapefruit juice to be produced X2; Number of units/quarts of Pineapple juice to be produced X3; and Number of units/quarts of All-in-One to be produced =X4)