The Owner of the Health JuiceBar Wishes to Prepare a Low-Calorie

question 54

Essay

The owner of the Health JuiceBar wishes to prepare a low-calorie fruit juice with a high vitamin A and vitamin C content by blending orange juice and pink grapefruit juice. Each glass of the blended juice is to contain at least 1,610 International Units (IU) of vitamin A and 194 IU of vitamin C. One ounce of orange juice contains 70 IU of vitamin A, 14 IU of vitamin C, and 13 calories; each ounce of pink grapefruit juice contains 140 IU of vitamin A, 12 IU of vitamin C, and 12 calories. How many ounces of each juice should a glass of the blend contain if it is to meet the minimum vitamin requirements while containing a minimum number of calories?
__________ ounces of orange juice
__________ ounces of pink grapefruit juice
__________ calories

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Definitions:

Mnemonic Devices

Tools that help people remember information through patterns of letters, ideas, or associations.

Economics

The social science that studies how individuals, governments, firms, and nations make choices on allocating scarce resources to satisfy their unlimited wants.

Clarify Concepts

The process of making ideas, subjects, or situations clearer and more comprehensible.

Authenticity

The quality of being genuine or true to one's own personality, spirit, or character, often in opposition to conforming to artificial standards or expectations.