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A Caterer Must Prepare from Five Fruit Drinks in Stock

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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:

Self-serving Bias

A common tendency for individuals to attribute their successes to personal factors while attributing their failures to external factors.

Factor Analysis

A statistical technique that determines hidden variables or factors responsible for the correlation pattern among a group of observed variables.

Trait

A stable characteristic or quality that describes a person's typical thoughts, feelings, and behaviors.

Social-cognitive

Pertains to the branch of psychology that examines the influence of social contexts and cognitive processes on individuals' behaviors and perceptions.

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