Pacific-Gulf Oil Company Is Faced with the Problem of Refining

question 40

Essay

Pacific-Gulf Oil Company is faced with the problem of refining three petroleum components into regular and premium gasoline in order to maximize profit. Components 1 and 2 are pooled in a single storage tank and component 3 has its own storage tank. Regular and premium gasolines are made from blending the pooled components and component 3. Prices per gallon for the two products and three components, as well as product specifications, are listed below. ​ ​
The maximum number of gallons available for each of the three components is 4000, 8000, and 8000, respectively. Formulate a nonlinear program to determine: 1) what percentages of component 1 and component 2 should be used in the pooled mixture, and 2) how to make regular and premium gasoline by blending the mixture of components 1 and 2 from the pooling tank with component 3.

---

Definitions:

Intellectual

An individual who engages deeply with ideas and concepts, often expressing thoughts and theories about various aspects of society and culture.

Career-Minded

An individual's attitude or approach that focuses on progression, achievement, and success within their chosen profession or occupational field.

Pornification

The infiltration of pornographic content and aesthetics into mainstream culture and media, affecting societal norms and behaviors.

Stripper Pole

A vertical pole used as a prop in dance routines and exercises, notably in strip clubs and fitness studios.