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A Caterer Must Prepare from Five Fruit Drinks in Stock

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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:

Equal-variances Test

A statistical method used to assess whether two or more populations have equal variances.

Student T-distributed

A probability distribution used in statistics when the sample size is small and the population standard deviation is unknown.

Degrees Of Freedom

The number of independent values or quantities which can vary in the analysis of statistical parameters.

Independent Samples

Samples selected from the same or different populations, but without any matching or pairing on characteristics.

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