Explanation Given Information: The provided given information is: Geber mixed Cereal for Baby contains 60 calories in each serving and there is no vitamin C. Each serving of Geber Mango Tropical Fruit Dessert contains 80 calories and it contains 45 % of the U.S. Recommended Daily Allowance (RDA) of vitamin C for infants. Each serving of Geber Apple Banana Juice contains 60 calories and 120 % of the U.S. Recommended Daily Allowance (RDA) of vitamin C for infants. The cost of cereal 10 cent per serving and the cost of dessert 10 cent per serving and the cost of juice 10 cent per serving. If you want to provide your child with at least 120 calories and at least 120 % of the U.S RDA of vitamin C. Formula used: A common kind of economic application is one that is of standard maximization problem involving minimizing cost. The minimum cost that is obtained depends on the constraints is: A s + B t + C u + ...... ≥ N . Where N is typically the number of units of required quantity. Calculation: Let s = serving of cereal and t = serving of dessert, u = serving of juice. According to the information the equation is as: Minimize c = 10 s + 53 t + 27 u 60 s + 80 t + 60 u ≥ 120 Subject to 45 t + 120 u ≥ 120 s ≥ 0 , t ≥ 0 , u ≥ 0 The matrix is as: [ 60 80 60 0 10 120 10 53 27 120 120 0 ] Transpose of above matrix is: [ 60 0 10 80 45 53 60 120 120 120 27 0 ] Solving it by dual problem solution as: Minimize p = 120 x + 120 y 60 x ≤ 10 Subject to 80 x + 45 y ≤ 53 60 x + 120 y ≤ 27 s ≥ 0 , t ≥ 0 , u ≥ 0 Set up the initial table as: x y s t u p

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ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 5.5, Problem 33E

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To calculate: the amount of ounce of each should ruff use in each bag of dog food to minimize cost and the shadow cost of protein and of fat and calculate the shadow cost of fat and protein.

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Chapter 5.5, Problem 32E

Chapter 5.5, Problem 34E

Chapter 5 Solutions

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the amount of ounce of each should ruff use in each bag of dog food to minimize cost and the shadow cost of protein and of fat and calculate the shadow cost of fat and protein.

Solution Summary: The author calculates the shadow cost of protein and fat in a bag of dog food.

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To calculate: the amount of ounce of each should ruff use in each bag of dog food to minimize cost and the shadow cost of protein and of fat and calculate the shadow cost of fat and protein.

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Chapter 5 Solutions