can 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 1 2 unit of fat per 100g. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per 100g. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per 100g. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat per 100g. The cost of each ingredient is 3c, 2c, 1c, and 4c per 100g, respectively. How many grammes of each should be used to minimise the cost of the cat food, while still meeting the guaranteed composition
A can 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 1 2 unit of fat per
100g. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per
100g. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per
100g. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat
per 100g. The cost of each ingredient is 3c, 2c, 1c, and 4c per 100g, respectively. How many
grammes of each should be used to minimise the cost of the cat food, while still meeting the
guaranteed composition?
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