Calcium and vitamin D are some of the most essential nutrients for bone health. According to the

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Calcium and vitamin D are some of the most essential nutrients for bone health. According to the Institute of Medicine, an average adult should have in his or her daily diet 1,000 mg of calcium and 600 IU of vitamin D. These two nutrients are found in milk and cold cereal, which many people eat for breakfast. One cup of whole milk has 270 mg of calcium and 124 IU of vitamin D. A cup of a popular whole grain cereal brand contains 150 mg of calcium and 120 IU of vitamin D. One gallon of whole milk contains about 16 cups and costs $4.89. A box of the popular cereal also contains about 16 cups and costs $3.19. Suppose an adult relies on getting these two nutrients only from breakfast. Formulate and solve the LP model that minimizes the cost of milk and cereal but satisfies the daily requirement of calcium and vitamin D. How much milk and cereal should an adult consume? What is the minimum cost?

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Business Analytics Communicating With Numbers

ISBN: 9781260785005

1st Edition

Authors: Sanjiv Jaggia, Alison Kelly, Kevin Lertwachara, Leida Chen

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