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An Oil Company Operates Two Refineries in a Certain City

question 7

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An oil company operates two refineries in a certain city. Refinery I has an output of 200, 100, and 100 barrels of low-, medium-, and high-grade oil per day, respectively. Refinery II has an output of 100, 200, and 600 barrels of low-, medium-, and high-grade oil per day, respectively. The company wishes to produce at least 1,000, 1,400, and 3,000 barrels of low-, medium-, and high-grade oil to fill an order. If it costs $500/day to operate refinery I and $700/day to operate refinery II, determine how many days each refinery should be operated to meet the requirements of the order at minimum cost to the company. What is the minimum cost?

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Definitions:

Antisocially

Acting in a manner that is contrary to the laws or norms of society, often harming or lacking consideration for the well-being of others.

Immorally

In a way that is not conforming to accepted standards of morality, often involving actions that are ethically wrong.

Cathartic Hypothesis

The idea that expressing or venting emotions, particularly negative emotions, can lead to psychological relief.

Frustration-Aggression Hypothesis

A theory suggesting that aggression is often a result of frustration, which arises from blocked goals or desires.

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