The Big Bang Explosives Company Produces Customized Blasting Compounds for Use

question 32

Essay

The Big Bang explosives company produces customized blasting compounds for use in the mining industry. The two ingredients for these explosives are agent A and agent B. Big Bang just received an order for 1400 pounds of explosive. Agent A costs $5 per pound and agent B costs $6 per pound. The customer's mixture must contain at least 20% agent A and at least 50% agent B. The company wants to provide the least expensive mixture which will satisfy the customers requirements.
a.Formulate the LP model for this problem.
b.Solve the problem using the graphical method.

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Definitions:

Household Income

The total income earned by all members of a household, including wages, investments, and any other sources of income.

Proportion

A part, share, or number considered in comparative relation to a whole; often expressed as a fraction or percentage.

Sample

A subset of a larger population, selected for the purpose of conducting statistical analysis or experimentation.

Parameter

A quantity that characterizes a statistical population and can be estimated by a function of the sample data.