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A Caterer Must Prepare from Five Fruit Drinks in Stock

question 68

Essay

A caterer must prepare from five fruit drinks in stock exactly 500 gallons of a punch containing at least 20% orange juice, 10% grapefruit juice, and 5% cranberry juice. If inventory data are as shown below, formulate a linear program that can be used to determine the optimal quantity of each fruit drink that the caterer should use to obtain the required composition at minimum total cost.
A caterer must prepare from five fruit drinks in stock exactly 500 gallons of a punch containing at least 20% orange juice, 10% grapefruit juice, and 5% cranberry juice. If inventory data are as shown below, formulate a linear program that can be used to determine the optimal quantity of each fruit drink that the caterer should use to obtain the required composition at minimum total cost.


Definitions:

Habituation

A psychological learning process wherein there is a decrease in response to a stimulus after being repeatedly exposed to it.

Standing Position

A basic human posture where the body is upright and supported by the feet, commonly used for various activities and tasks.

Habituation

The process by which an individual becomes accustomed to a stimulus and reacts less strongly over time.

Perceptual Constancy

Perceiving objects as maintaining their identity although sensations from them change as their positions change.

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