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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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