A Manufacturer Makes Two Types of Rubber, Butadiene and Polyisoprene

question 24

Essay

A manufacturer makes two types of rubber, Butadiene and Polyisoprene. The plant has two machines, Machine-1 and Machine-2, which are used to make the rubber strips. Manufacturing one strip of Butadiene requires 2.75 hours on Machine-1 and 3 hours on Machine-2. Processing one strip of Polyisoprene, takes 3.5 hours on Machine-1 and 4 hours on Machine-2. Machine-1 is available 180 hours per month, and Machine-2 is available 200 hours per month. Formulate an all-integer spreadsheet model that will determine how many units of each type of rubber should be produced to maximize profits if the profit contributions of Butadiene and Polyisoprene are $20 and $26, respectively.
How many units of each type of rubber will maximize profits?
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Definitions:

MAOA Activity

The activity level of monoamine oxidase A, an enzyme responsible for breaking down neurotransmitters in the brain, which can affect mood and behavior.

Conduct Disorder

Conduct Disorder is a mental health disorder characterized by a repetitive and persistent pattern of behavior in which the basic rights of others or societal norms are violated.

Gene-Environment Interaction

The complex interplay between genetic predispositions and environmental factors that influence the development and expression of traits or conditions.

Caspi et al.

Refers to research conducted by Avshalom Caspi and colleagues, often involving genetic and environmental influences on human development and psychological traits.