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A can of Meow Mix, a brand of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20 units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients. Ingredient A contains 10 units of protein, 2 units of mineral matter and 0.5 units of fat per 100 grams. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per 100 grams. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per 100 grams. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat per 100 grams. The cost of each ingredient is P30, P20, P15, and P35 per 100 grams, respectively. How many grams of each should be used to minimize the cost of Meow Mix while still meeting the guaranteed composition?

A can of Meow Mix, a brand of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20 units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients. Ingredient A contains 10 units of protein, 2 units of mineral matter and 0.5 units of fat per 100 grams. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per 100 grams. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per 100 grams. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat per 100 grams. The cost of each ingredient is P30, P20, P15, and P35 per 100 grams, respectively. How many grams of each should be used to minimize the cost of Meow Mix while still meeting the guaranteed composition?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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A can of Meow Mix, a brand of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20 units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients. Ingredient A contains 10 units of protein, 2 units of mineral matter and 0.5 units of fat per 100 grams. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per 100 grams. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per 100 grams. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat per 100 grams. The cost of each ingredient is P30, P20, P15, and P35 per 100 grams, respectively. How many grams of each should be used to minimize the cost of Meow Mix while still meeting the guaranteed composition?
Transcribed Image Text:A can of Meow Mix, a brand of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20 units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients. Ingredient A contains 10 units of protein, 2 units of mineral matter and 0.5 units of fat per 100 grams. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per 100 grams. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per 100 grams. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat per 100 grams. The cost of each ingredient is P30, P20, P15, and P35 per 100 grams, respectively. How many grams of each should be used to minimize the cost of Meow Mix while still meeting the guaranteed composition?
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