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

question 25

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 components 1 and 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.

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Definitions:

Genetic Component

Refers to the contribution of genes to the development or progression of a trait or condition.

Hereditary Influence

The impact of genetic factors inherited from parents on the physical and psychological attributes of an individual.

Unintentional Injuries

Injuries that occur without the intention to cause harm, often resulting from accidents or lack of precautionary measures.

Fatal

Describes an outcome or event that results in death.