Groovy Juice Mixers produces juices, Tropical breeze and Guava Jive. These Juices are both made by blending three ingredients, Grape, guava and Papaya. A certain level of flexibility is permitted in the formulae for these products. The allowable percentages, along with revenue and cost data, are given in the following table. Up to 60 gallons of Grape, 80 gallons of Guava and 60 gallons of papaya could be purchased. Groovy can sell as much of these juices as it produces. Juices Ingredient Grape Ingredient Guava Ingredient Papaya Sales price per gallon Tropical Breeze At most 25% At least 20% At Most 25% At Least 20% 8 Guava Jive At most 50% At least 40% At most 5% 7 Cost per Gallon 1.5 2.5 1.5 Formulate an LP whose objective is to maximize the net profit from the sale of the juices.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Groovy Juice Mixers produces juices, Tropical breeze and Guava Jive. These Juices are both made by blending three ingredients, Grape, guava and Papaya. A certain level of flexibility is permitted in the formulae for these products. The allowable percentages, along with revenue and cost data, are
given in the following table. Up to 60 gallons of Grape, 80 gallons of Guava and 60 gallons of papaya could be purchased. Groovy can sell as much of these juices as it produces.
| Juices |
Ingredient Grape |
Ingredient Guava |
Ingredient Papaya |
Sales price per gallon |
| Tropical Breeze |
At most 25% At least 20% |
At Most 25% At Least 20% |
8 | |
| Guava Jive |
At most 50% At least 40% |
At most 5% | 7 | |
| Cost per Gallon | 1.5 | 2.5 | 1.5 | |
Formulate an LP whose objective is to maximize the net profit from the sale of the juices.
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