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:

GDP

Gross Domestic Product, the total value of all goods and services produced within a country over a specified period, typically a year.

Imports

Goods or services brought into one country from another for sale.

Exports

Goods or services sent from one country to be sold in another country.

Consumption

The total value of all goods and services consumed by households, including durable goods, non-durable goods, and services.