Problem Statement: Company makes five types of juice using Guava, pomegranate, Grape and tangerine. The following table shows the price and cost per quart of juice (one container of juice) as well as the number of kilograms of fruits required to produce one quart of juice. On hand there are 400 Kg of Guava, 300 Kg. of pomegranate, 200 Kg. of Grape and 150 Kg. of tangerine. The manager wants Grape juice to be used for no more than 20 percent of the number of containers produced. He wants the ratio of the number of containers of pomegranate juice to the number of containers of Guava juice to be at least 5 to 6. tangerine juice should not exceed half of the total product.. Mix juice should not exceed one quarter of the total product. Task Formulate a linear programming model for this problem, to determine how many containers of each product to produce tomorrow in order to maximize the profits. juice Price/quart Cost/quart Fruit needed Guava 3 1 1 kg. pomegranate 2 0.5 2 kg. Grape 2.5 1.5 1.25 Kg. tangerine 2.5 2 2 Mix 0.25 kg each 2 2 4