A Manufacturer Makes Two Types of Rubber, Butadiene and Polyisoprene

question 42

Essay

A manufacturer makes two types of rubber, Butadiene and Polyisoprene. The plant has two machines, Machine-1 and Machine-2, and both of them are used to make the rubber strips. Machine-1 is available 180 hours per month and Machine-2 is available 200 hours per month. Manufacturing one strip of Butadiene requires 2.75 hours on Machine-1 and 3 hours on Machine-2. For processing one strip of Polyisoprene, it takes 3.5 hours on Machine-1 and 4 hours on Machine-2. Formulate an all-integer model that will determine how many units of each type of the rubber should be used to maximize the manufacturer's contribution to profit if he gets a profit of $20 on Butadiene and $26 on Polyisoprene?

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Definitions:

Staph Bacterium

A type of bacteria commonly found on the skin or in the nose of people, which can occasionally cause infections, ranging from minor to life-threatening.

Abscesses

Pockets of pus that accumulate in a tissue, organ, or space in the body due to infection.

MRSA

Methicillin-resistant Staphylococcus aureus, a type of bacteria that is resistant to several antibiotics, known for causing difficult-to-treat infections.

Medical Asepsis

Measures taken to reduce the number of microorganisms, such as handwashing and wearing examination gloves, that do not necessarily eliminate microorganisms; also called clean technique.