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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:

Counterconditioning

A behavior therapy technique where an undesirable response to a stimulus is replaced with a more desirable response.

Fear of Heights

An anxiety disorder characterized by an extreme and irrational fear of high places, also known as acrophobia.

Primary Reinforcers

A type of reinforcement that is innately satisfying and does not require any learning to become pleasurable, such as food and water.

Secondary Reinforcers

Stimuli which become rewarding through their association with primary reinforcers.

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