South Coast Papers Wants to Mix Two Lubricating Oils (A

question 88

Essay

South Coast Papers wants to mix two lubricating oils (A and B) for its machines in order to minimize cost. It needs no less than 3,000 gallons in order to run its machines during the next month. It has a maximum oil storage capacity of 4,000 gallons. There are 2,000 gallons of Oil A and 4,000 of Oil B available. The mixed fuel must have a viscosity rating of no less than 40.
When mixing fuels, the amount of oil obtained is exactly equal to the sum of the amounts put in. The viscosity rating is the weighted average of the individual viscosities, weighted in proportion to their volumes. The following is known: Oil A has a viscosity of 45 and costs 60 cents per gallon; Oil B has a viscosity of 37.5 and costs 40 cents per gallon.
State the objective and the constraints of this problem. Plot all constraints and highlight the feasible region. Use your (by now, well-developed) intuition to suggest a feasible (but not necessarily optimal) solution. Be certain to show that your solution meets all constraints.

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Definitions:

Warranty Problems

Issues or defects in a product or service that arise within the warranty period and are covered by the warranty policy.

Damaged Products

Items that have been impaired in quality or functionality before reaching the consumer.

Indirect Strategy

An approach in communication or planning that involves suggesting rather than stating things outright, often used to handle sensitive topics.

Manipulation

The act of controlling or influencing someone or something in a cunning or deceitful way.