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:

Interlocking Directorates

The practice of members of a corporate board of directors serving on the boards of multiple corporations simultaneously, often leading to conflicts of interest or consolidation of power.

Capitalism

An economic system where private individuals own and control the means of production, with the goal of making profits.

Human Relations School

A management theory focusing on improving workplace productivity through understanding and addressing workers' social needs and job satisfaction.

Major Revolutions

Refers to significant and often sudden changes in political, social, and economic structures of a society, potentially leading to lasting transformation.